{"id":18474,"date":"2021-08-26T10:39:15","date_gmt":"2021-08-26T05:09:15","guid":{"rendered":"https:\/\/python-programs.com\/?p=18474"},"modified":"2021-11-22T18:37:16","modified_gmt":"2021-11-22T13:07:16","slug":"python-program-to-find-gcd-of-elements-in-a-given-range","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-gcd-of-elements-in-a-given-range\/","title":{"rendered":"Python Program to Find GCD of Elements in a Given Range"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-sort-digits-of-a-number-in-ascending-order\/\">Python Program to Sort digits of a Number in Ascending Order<\/a><br \/>\n<strong>Highest Common Factor (HCF) \/ Greatest Common Divisor (GCD) :<\/strong><\/p>\n<p>When at least one of the integers is not zero, the greatest positive integer that evenly divides the numbers without a remainder is called the Highest Common Factor or Greatest Common Divisor.<\/p>\n<p>The GCD of 12 and 16 is, for example, 4.<\/p>\n<p>Given two numbers, n, and m, and the task is to solve the equation, Find the largest integer a(gcd) that is divisible by all integers n, n + 1, n + 2,&#8230;, m.<\/p>\n<p>We only need to look at two cases here:<\/p>\n<p>If a = b, the segment is made up of a single number, so the answer is a.<br \/>\nIf a = b, then gcd(n, n + 1, n?+ 2,&#8230;, m) = gcd(n, n + 1), n + 2,&#8230;, m) = gcd(1, n + 2,&#8230;, n) = 1.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given First Number =\u00a0  125\r\nGiven Second Number = 125<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The greatest number that divides both 125 and 125 = 125<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given First Number = 5\r\nGiven Second Number = 8<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The greatest number that divides both 5 and 8 = 1<\/pre>\n<h2>Program to Find GCD of Elements in a Given Range in Python.<\/h2>\n<p>Below are the ways to Find the largest integer a(gcd) that is divisible by all integers n, n + 1, n + 2,&#8230;, m.<\/p>\n<ul>\n<li><a href=\"#Using_If,_Else_conditional_Statements_(Static_Input)\">Using If, Else conditional Statements (Static Input)<\/a><\/li>\n<li><a href=\"#Using_If,_Else_conditional_Statements_(User_Input)\">Using If, Else conditional Statements (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_If,_Else_conditional_Statements_(Static_Input)\">Method #1: Using If, Else conditional\u00a0 Statements (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the first number as static input and store it in a variable.<\/li>\n<li>Give the second number as static input and store it in another variable.<\/li>\n<li>Check if the first number is equal to the second number using the if conditional statement.<\/li>\n<li>If the statement is true, then print the first number.<\/li>\n<li>If the statement is false, then print 1.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the first number as static input and store it in a variable.\r\nfst_numb = 125\r\n# Give the second number as static input and store it in another variable.\r\nsecnd_numb = 125\r\n# Check if the first number is equal to the second number using the if conditional statement.\r\nif(fst_numb == secnd_numb):\r\n  # If the statement is true, then print the first number.\r\n    print(\"The greatest number that divides both\",\r\n          fst_numb, \"and\", secnd_numb, \"=\", fst_numb)\r\nelse:\r\n  # If the statement is false, then print 1.\r\n    print(\"The greatest number that divides both\",\r\n          fst_numb, \"and\", secnd_numb, \"=\", 1)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The greatest number that divides both 125 and 125 = 125<\/pre>\n<h3 id=\"Using_If,_Else_conditional_Statements_(User_Input)\">Method #2: Using If, Else conditional\u00a0 Statements (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the first number as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Give the second number as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Check if the first number is equal to the second number using the if conditional statement.<\/li>\n<li>If the statement is true, then print the first number.<\/li>\n<li>If the statement is false, then print 1.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the first number as user input using the int(input()) function and store it in a variable.\r\nfst_numb = int(input(\"Enter some random number = \"))\r\n# Give the second number as user input using the int(input()) function and store it in another variable.\r\nsecnd_numb = int(input(\"Enter some random number = \"))\r\n# Check if the first number is equal to the second number using the if conditional statement.\r\nif(fst_numb == secnd_numb):\r\n  # If the statement is true, then print the first number.\r\n    print(\"The greatest number that divides both\",\r\n          fst_numb, \"and\", secnd_numb, \"=\", fst_numb)\r\nelse:\r\n  # If the statement is false, then print 1.\r\n    print(\"The greatest number that divides both\",\r\n          fst_numb, \"and\", secnd_numb, \"=\", 1)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 5\r\nEnter some random number = 8\r\nThe greatest number that divides both 5 and 8 = 1<\/pre>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and 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Factor (HCF) \/ Greatest Common Divisor (GCD) : When at least one of the integers is not zero, the greatest positive integer that evenly divides the numbers without a remainder is called the Highest Common &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-gcd-of-elements-in-a-given-range\/\"> <span class=\"screen-reader-text\">Python Program to Find GCD of Elements in a Given Range<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":18828,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program to Find GCD of Elements in a Given Range - Python 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