Java Program for GCD of more than two (or array) numbers Last Updated : 31 Jan, 2023 Comments Improve Suggest changes Like Article Like Report The GCD of three or more numbers equals the product of the prime factors common to all the numbers, but it can also be calculated by repeatedly taking the GCDs of pairs of numbers. gcd(a, b, c) = gcd(a, gcd(b, c)) = gcd(gcd(a, b), c) = gcd(gcd(a, c), b) Java // Java program to find GCD of two or // more numbers public class GCD { // Function to return gcd of a and b static int gcd(int a, int b) { if (a == 0) return b; return gcd(b % a, a); } // Function to find gcd of array of // numbers static int findGCD(int arr[], int n) { int result = arr[0]; for (int i = 1; i < n; i++) result = gcd(arr[i], result); return result; } public static void main(String[] args) { int arr[] = { 2, 4, 6, 8, 16 }; int n = arr.length; System.out.println(findGCD(arr, n)); } } // This code is contributed by Saket Kumar Output:2 Time complexity: O(n)Space complexity: O(1) Please refer complete article on GCD of more than two (or array) numbers for more details! Comment More infoAdvertise with us Next Article Java Program for GCD of more than two (or array) numbers kartik Follow Improve Article Tags : Mathematical Java Programs DSA GCD-LCM Practice Tags : Mathematical Similar Reads Java Program to Find GCD or HCF of Two Numbers GCD (i.e. Greatest Common Divisor) or HCF (i.e. Highest Common Factor) is the largest number that can divide both the given numbers. Example: HCF of 10 and 20 is 10, and HCF of 9 and 21 is 3.Therefore, firstly find all the prime factors of both the stated numbers, then find the intersection of all t 2 min read Java Program to Find GCD and LCM of Two Numbers Using Euclid’s Algorithm GCD or the Greatest Common Divisor of two given numbers A and B is the highest number dividing both A and B completely, i.e., leaving remainder 0 in each case. LCM or the Least Common Multiple of two given numbers A and B is the Least number which can be divided by both A and B, leaving remainder 0 3 min read Java Program for Common Divisors of Two Numbers Given two integer numbers, the task is to find the count of all common divisors of given numbers? Input : a = 12, b = 24 Output: 6 // all common divisors are 1, 2, 3, // 4, 6 and 12 Input : a = 3, b = 17 Output: 1 // all common divisors are 1 Input : a = 20, b = 36 Output: 3 // all common divisors a 2 min read Java Program to Make All the Array Elements Equal to One by GCD Operations You are given an array A[] of N integers. Your task is to make all the elements of the final array equal to 1. You can perform the below operation any number of times (possibly zero). Choose two indices <i, j>, (0<=i,j<N) and replace Ai and Aj both with the GCD ( Greatest Common Divisor 4 min read Java Program to Find the GCDs of given index ranges in an array Write a Java program for a given array a[0 . . . n-1], the task is to find the GCD from index qs (query start) to qe (query end) where 0 <= qs <= qe <= n-1. Example: Input: arr[] = {2, 3, 60, 90, 50};Index Ranges: {1, 3}, {2, 4}, {0, 2}Output: GCDs of given ranges are 3, 10, 1Explanation: E 6 min read Java Program to Compute GCD GCD (Greatest Common Divisor) of two given numbers A and B is the highest number that can divide both A and B completely, i.e., leaving the remainder 0 in each case. GCD is also called HCF(Highest Common Factor). There are various approaches to finding the GCD of two given numbers.Approaches: The GC 5 min read C++ Program for GCD of more than two (or array) numbers The GCD of three or more numbers equals the product of the prime factors common to all the numbers, but it can also be calculated by repeatedly taking the GCDs of pairs of numbers. gcd(a, b, c) = gcd(a, gcd(b, c)) = gcd(gcd(a, b), c) = gcd(gcd(a, c), b) CPP // C++ program to find GCD of two or // mo 3 min read GCD of more than two (or array) numbers Given an array arr[] of non-negative numbers, the task is to find GCD of all the array elements. In a previous post we find GCD of two number.Examples:Input: arr[] = [1, 2, 3]Output: 1Input: arr[] = [2, 4, 6, 8]Output: 2Using Recursive GCDThe GCD of three or more numbers equals the product of the pr 11 min read How to find GCD of more than 2 numbers Greatest Common Divisor (GCD) of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder. It can also be referred to as the Greatest Common Factor (GCF) or Highest Common Factor (HCF). Example, the GCD of 12 and 18 is 6, as 6 is the largest 5 min read Program to find GCD of floating point numbers The greatest common divisor (GCD) of two or more numbers, which are not all zero, is the largest positive number that divides each of the numbers. Example: Input : 0.3, 0.9Output : 0.3Explanation: The GCD of 0.3 and 0.9 is 0.3 because both numbers share 0.3 as the largest common divisor.Input : 0.48 4 min read Like