{"id":34478,"date":"2024-11-01T09:28:27","date_gmt":"2024-11-01T09:28:27","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=34478"},"modified":"2024-11-01T11:41:05","modified_gmt":"2024-11-01T11:41:05","slug":"javascript-coding-test-course-euclidean-algorithm","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/34478\/","title":{"rendered":"JavaScript Coding Test Course, Euclidean Algorithm"},"content":{"rendered":"<p><body><\/p>\n<p>Hello! Today, we will learn about the algorithm for finding the Greatest Common Divisor (GCD) using the Euclidean algorithm. The Euclidean algorithm is a classical approach to find the GCD of two integers a and b based on the following principles. In this tutorial, we will explore the theory of the Euclidean algorithm and how to implement it in JavaScript step by step.<\/p>\n<h2>1. Overview of the Euclidean Algorithm<\/h2>\n<p>The Euclidean algorithm is a method proposed by the Greek mathematician Euclid around 300 BC to find the greatest common divisor of two natural numbers a and b. The algorithm works as follows:<\/p>\n<ul>\n<li>If b is 0, then GCD(a, b) is a.<\/li>\n<li>Otherwise, GCD(a, b) = GCD(b, a mod b).<\/li>\n<\/ul>\n<p>Here, <code>mod<\/code> refers to the modulus operation, where <code>a mod b<\/code> returns the remainder when a is divided by b.<\/p>\n<h3>1.1 Example of the Algorithm<\/h3>\n<p>For example, if a = 48 and b = 18, we can find the GCD through the following steps:<\/p>\n<pre>\nGCD(48, 18)\n= GCD(18, 48 mod 18)\n= GCD(18, 12)\n= GCD(12, 6)\n= GCD(6, 0)\n= 6\n<\/pre>\n<p>Therefore, GCD(48, 18) = 6.<\/p>\n<h2>2. Implementing the Euclidean Algorithm in JavaScript<\/h2>\n<p>Now let&#8217;s implement the Euclidean algorithm in JavaScript. Below is the code that implements a function to find the GCD:<\/p>\n<pre><code>\nfunction gcd(a, b) {\n    if (b === 0) {\n        return a;\n    }\n    return gcd(b, a % b);\n}\n\n\/\/ Example usage\nconst a = 48;\nconst b = 18;\nconsole.log(`GCD of ${a} and ${b} is ${gcd(a, b)}`);\n<\/code><\/pre>\n<h3>2.1 Explanation of the Code<\/h3>\n<ul>\n<li><code>function gcd(a, b)<\/code>: This is a function that takes two arguments a and b and calculates the GCD.<\/li>\n<li><code>if (b === 0)<\/code>: If b is 0, it returns a. This is the basis of the Euclidean algorithm.<\/li>\n<li><code>return gcd(b, a % b)<\/code>: This recursively calls the gcd function, swapping a with b and b with a mod b.<\/li>\n<\/ul>\n<h2>3. Various Uses and Applications<\/h2>\n<p>The Euclidean algorithm has various applications in different fields. For example:<\/p>\n<ul>\n<li>Solving mathematical problems: It is used not only to find the GCD of two numbers but also to find the GCD of multiple numbers.<\/li>\n<li>Computer Science: It is used to compute the GCD required for expressing fractions in their simplest form.<\/li>\n<li>Cryptography: The GCD is important in RSA encryption algorithms.<\/li>\n<\/ul>\n<h2>4. Problem Solving: Finding the GCD of Two Numbers<\/h2>\n<p>Let&#8217;s solve the following problem:<\/p>\n<pre><code>\nProblem: Write a function that takes two integers and outputs their greatest common divisor.\nInput: Two integers a, b (1 &lt;= a, b &lt;= 10000)\nOutput: The greatest common divisor of a and b\n<\/code><\/pre>\n<h3>4.1 Problem Solving Process<\/h3>\n<ol>\n<li>Input two integers.<\/li>\n<li>Calculate the GCD using the Euclidean algorithm.<\/li>\n<li>Output the calculated GCD.<\/li>\n<\/ol>\n<p>Now let&#8217;s write the complete code as follows:<\/p>\n<pre><code>\nfunction gcd(a, b) {\n    if (b === 0) {\n        return a;\n    }\n    return gcd(b, a % b);\n}\n\n\/\/ Getting input from the user\nconst a = parseInt(prompt(\"Please enter the first integer: \"));\nconst b = parseInt(prompt(\"Please enter the second integer: \"));\n\nconsole.log(`GCD of ${a} and ${b} is ${gcd(a, b)}`);\n<\/code><\/pre>\n<h2>5. Conclusion<\/h2>\n<p>In conclusion, we have learned about the JavaScript algorithm using the Euclidean algorithm. I hope this helps you gain a basic understanding of algorithm problems by understanding and implementing the algorithm. If you have any further questions, feel free to leave a comment!<\/p>\n<h2>6. Additional Resources<\/h2>\n<p>If you want to study the Euclidean algorithm in depth, please refer to the following resources:<\/p>\n<ul>\n<li><a href=\"https:\/\/ko.wikipedia.org\/wiki\/%EC%9C%A0%ED%81%B4%EB%A6%AC%EB%93%9C_%ED%98%B8%EC%A0%9C%EB%B2%95\" target=\"_blank\" rel=\"noopener\">Wikipedia &#8211; Euclidean Algorithm<\/a><\/li>\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/euclidean-algorithms-simple-iterative-approach\/\" target=\"_blank\" rel=\"noopener\">GeeksforGeeks &#8211; Euclidean Algorithm<\/a><\/li>\n<\/ul>\n<p>Thank you!<\/p>\n<p><\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hello! Today, we will learn about the algorithm for finding the Greatest Common Divisor (GCD) using the Euclidean algorithm. The Euclidean algorithm is a classical approach to find the GCD of two integers a and b based on the following principles. In this tutorial, we will explore the theory of the Euclidean algorithm and how &hellip; <a href=\"https:\/\/atmokpo.com\/w\/34478\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;JavaScript Coding Test Course, Euclidean Algorithm&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[141],"tags":[],"class_list":["post-34478","post","type-post","status-publish","format-standard","hentry","category-javascript-coding-test"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>JavaScript Coding Test Course, Euclidean Algorithm - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/atmokpo.com\/w\/34478\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"JavaScript Coding Test Course, Euclidean Algorithm - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"og:description\" content=\"Hello! Today, we will learn about the algorithm for finding the Greatest Common Divisor (GCD) using the Euclidean algorithm. The Euclidean algorithm is a classical approach to find the GCD of two integers a and b based on the following principles. In this tutorial, we will explore the theory of the Euclidean algorithm and how &hellip; \ub354 \ubcf4\uae30 &quot;JavaScript Coding Test Course, Euclidean Algorithm&quot;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/atmokpo.com\/w\/34478\/\" \/>\n<meta property=\"og:site_name\" content=\"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"article:published_time\" content=\"2024-11-01T09:28:27+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-11-01T11:41:05+00:00\" \/>\n<meta name=\"author\" content=\"root\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@bebubo4\" \/>\n<meta name=\"twitter:site\" content=\"@bebubo4\" \/>\n<meta name=\"twitter:label1\" content=\"\uae00\uc4f4\uc774\" \/>\n\t<meta name=\"twitter:data1\" content=\"root\" \/>\n\t<meta name=\"twitter:label2\" content=\"\uc608\uc0c1 \ub418\ub294 \ud310\ub3c5 \uc2dc\uac04\" \/>\n\t<meta name=\"twitter:data2\" content=\"3\ubd84\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/atmokpo.com\/w\/34478\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/atmokpo.com\/w\/34478\/\"},\"author\":{\"name\":\"root\",\"@id\":\"https:\/\/atmokpo.com\/w\/#\/schema\/person\/91b6b3b138fbba0efb4ae64b1abd81d7\"},\"headline\":\"JavaScript Coding Test Course, Euclidean Algorithm\",\"datePublished\":\"2024-11-01T09:28:27+00:00\",\"dateModified\":\"2024-11-01T11:41:05+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/atmokpo.com\/w\/34478\/\"},\"wordCount\":414,\"publisher\":{\"@id\":\"https:\/\/atmokpo.com\/w\/#organization\"},\"articleSection\":[\"Javascript Coding Test\"],\"inLanguage\":\"ko-KR\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/atmokpo.com\/w\/34478\/\",\"url\":\"https:\/\/atmokpo.com\/w\/34478\/\",\"name\":\"JavaScript Coding Test Course, Euclidean Algorithm - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\",\"isPartOf\":{\"@id\":\"https:\/\/atmokpo.com\/w\/#website\"},\"datePublished\":\"2024-11-01T09:28:27+00:00\",\"dateModified\":\"2024-11-01T11:41:05+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/atmokpo.com\/w\/34478\/#breadcrumb\"},\"inLanguage\":\"ko-KR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/atmokpo.com\/w\/34478\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/atmokpo.com\/w\/34478\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\ud648\",\"item\":\"https:\/\/atmokpo.com\/w\/en\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"JavaScript Coding Test Course, Euclidean Algorithm\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/atmokpo.com\/w\/#website\",\"url\":\"https:\/\/atmokpo.com\/w\/\",\"name\":\"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/atmokpo.com\/w\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/atmokpo.com\/w\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"ko-KR\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/atmokpo.com\/w\/#organization\",\"name\":\"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\",\"url\":\"https:\/\/atmokpo.com\/w\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ko-KR\",\"@id\":\"https:\/\/atmokpo.com\/w\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/atmokpo.com\/w\/wp-content\/uploads\/2024\/11\/logo.png\",\"contentUrl\":\"https:\/\/atmokpo.com\/w\/wp-content\/uploads\/2024\/11\/logo.png\",\"width\":400,\"height\":400,\"caption\":\"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\"},\"image\":{\"@id\":\"https:\/\/atmokpo.com\/w\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/x.com\/bebubo4\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/atmokpo.com\/w\/#\/schema\/person\/91b6b3b138fbba0efb4ae64b1abd81d7\",\"name\":\"root\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ko-KR\",\"@id\":\"https:\/\/atmokpo.com\/w\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/708197b41fc6435a7ce22d951b25d4a47e9e904270cb1f04682d4f025066f80c?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/708197b41fc6435a7ce22d951b25d4a47e9e904270cb1f04682d4f025066f80c?s=96&d=mm&r=g\",\"caption\":\"root\"},\"sameAs\":[\"http:\/\/atmokpo.com\/w\"],\"url\":\"https:\/\/atmokpo.com\/w\/author\/root\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"JavaScript Coding Test Course, Euclidean Algorithm - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/atmokpo.com\/w\/34478\/","og_locale":"ko_KR","og_type":"article","og_title":"JavaScript Coding Test Course, Euclidean Algorithm - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8","og_description":"Hello! Today, we will learn about the algorithm for finding the Greatest Common Divisor (GCD) using the Euclidean algorithm. The Euclidean algorithm is a classical approach to find the GCD of two integers a and b based on the following principles. In this tutorial, we will explore the theory of the Euclidean algorithm and how &hellip; \ub354 \ubcf4\uae30 \"JavaScript Coding Test Course, Euclidean Algorithm\"","og_url":"https:\/\/atmokpo.com\/w\/34478\/","og_site_name":"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8","article_published_time":"2024-11-01T09:28:27+00:00","article_modified_time":"2024-11-01T11:41:05+00:00","author":"root","twitter_card":"summary_large_image","twitter_creator":"@bebubo4","twitter_site":"@bebubo4","twitter_misc":{"\uae00\uc4f4\uc774":"root","\uc608\uc0c1 \ub418\ub294 \ud310\ub3c5 \uc2dc\uac04":"3\ubd84"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/atmokpo.com\/w\/34478\/#article","isPartOf":{"@id":"https:\/\/atmokpo.com\/w\/34478\/"},"author":{"name":"root","@id":"https:\/\/atmokpo.com\/w\/#\/schema\/person\/91b6b3b138fbba0efb4ae64b1abd81d7"},"headline":"JavaScript Coding Test Course, Euclidean Algorithm","datePublished":"2024-11-01T09:28:27+00:00","dateModified":"2024-11-01T11:41:05+00:00","mainEntityOfPage":{"@id":"https:\/\/atmokpo.com\/w\/34478\/"},"wordCount":414,"publisher":{"@id":"https:\/\/atmokpo.com\/w\/#organization"},"articleSection":["Javascript Coding Test"],"inLanguage":"ko-KR"},{"@type":"WebPage","@id":"https:\/\/atmokpo.com\/w\/34478\/","url":"https:\/\/atmokpo.com\/w\/34478\/","name":"JavaScript Coding Test Course, Euclidean Algorithm - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8","isPartOf":{"@id":"https:\/\/atmokpo.com\/w\/#website"},"datePublished":"2024-11-01T09:28:27+00:00","dateModified":"2024-11-01T11:41:05+00:00","breadcrumb":{"@id":"https:\/\/atmokpo.com\/w\/34478\/#breadcrumb"},"inLanguage":"ko-KR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/atmokpo.com\/w\/34478\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/atmokpo.com\/w\/34478\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\ud648","item":"https:\/\/atmokpo.com\/w\/en\/"},{"@type":"ListItem","position":2,"name":"JavaScript Coding Test Course, Euclidean Algorithm"}]},{"@type":"WebSite","@id":"https:\/\/atmokpo.com\/w\/#website","url":"https:\/\/atmokpo.com\/w\/","name":"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8","description":"","publisher":{"@id":"https:\/\/atmokpo.com\/w\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/atmokpo.com\/w\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ko-KR"},{"@type":"Organization","@id":"https:\/\/atmokpo.com\/w\/#organization","name":"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8","url":"https:\/\/atmokpo.com\/w\/","logo":{"@type":"ImageObject","inLanguage":"ko-KR","@id":"https:\/\/atmokpo.com\/w\/#\/schema\/logo\/image\/","url":"https:\/\/atmokpo.com\/w\/wp-content\/uploads\/2024\/11\/logo.png","contentUrl":"https:\/\/atmokpo.com\/w\/wp-content\/uploads\/2024\/11\/logo.png","width":400,"height":400,"caption":"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8"},"image":{"@id":"https:\/\/atmokpo.com\/w\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/x.com\/bebubo4"]},{"@type":"Person","@id":"https:\/\/atmokpo.com\/w\/#\/schema\/person\/91b6b3b138fbba0efb4ae64b1abd81d7","name":"root","image":{"@type":"ImageObject","inLanguage":"ko-KR","@id":"https:\/\/atmokpo.com\/w\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/708197b41fc6435a7ce22d951b25d4a47e9e904270cb1f04682d4f025066f80c?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/708197b41fc6435a7ce22d951b25d4a47e9e904270cb1f04682d4f025066f80c?s=96&d=mm&r=g","caption":"root"},"sameAs":["http:\/\/atmokpo.com\/w"],"url":"https:\/\/atmokpo.com\/w\/author\/root\/"}]}},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/posts\/34478","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/comments?post=34478"}],"version-history":[{"count":1,"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/posts\/34478\/revisions"}],"predecessor-version":[{"id":34479,"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/posts\/34478\/revisions\/34479"}],"wp:attachment":[{"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/media?parent=34478"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/categories?post=34478"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/atmokpo.com\/w\/wp-json\/wp\/v2\/tags?post=34478"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}