Given two numbers a and b, the task is to find the GCD of the two numbers.
Note: The GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that divides both of them.
Examples:
Input: a = 20, b = 28Output: 4Exp...
// C++ program to find GCD of two numbers\#include <bits/stdc++.h>using namespace std;// Function to return gcd of a and bint gcd(int a, int b){// Find Minimum of a and bint result = min(a, b);while (result > 0) {if (a % result == 0 && b % result == 0) {// C program to find GCD of two numbers#include <math.h>#include <stdio.h>// Function to return gcd of a and bint gcd(int a, int b){// Find Minimum of a and bint result = ((a < b) ? a : b);while (result > 0) {if (a % result == 0 && b % result == 0) {// Java program to find GCD of two numbersimport java.io.*;public class GFG {// Function to return gcd of a and bstatic int gcd(int a, int b){// Find Minimum of a and bint result = Math.min(a, b);while (result > 0) {if (a % result == 0 && b % result == 0) {# Python program to find GCD of two numbers# Function to find gcd of two numbersdef gcd(a, b):# Find minimum of a and bresult = min(a, b)while result:if a % result == 0 and b % result == 0:breakresult -= 1# Return the gcd of a and breturn result# Driver Code// C# program to find GCD of two numbersusing System;public class GFG {// Function to return gcd of a and bstatic int gcd(int a, int b){// Find Minimum of a and bint result = Math.Min(a, b);while (result > 0) {if (a % result == 0 && b % result == 0) {// Javascript program to find GCD of two numbers// Function to return gcd of a and bfunction gcd(a,b){// Find Minimum of a and blet result = Math.min(a, b);while (result > 0) {if (a % result == 0 && b % result == 0) {break;}result--;}// Return gcd of a and bContent Under CC-BY-SA licenseProgram to Find GCD or HCF of Two Numbers - GeeksforGeeks
Below is the code implementation of the above idea: Time Complexity:O(min(a,b)) Auxiliary Space: O(1) See more
The idea of this algorithm is, the GCD of two numbers doesn’t change if the smaller number is subtracted from the bigger number. This is the Euclidean algorithm by subtraction. It is a process of repeat subtraction, carrying the result forward each time until the … See more
Below is the implementation of the above approach. Complexity Analysis: Time Complexity:O(log(min(a,b))) 1. The derivation for this is … See more
The above method can be optimized based on the following idea: Illustration: See the below illustration for a better understanding: Below is the implementation of … See more
Below is the iterative way to find the GCD of two numbers using Euclidean algorithm. Time Complexity:O(log(min(a,b))) Auxiliary Space:O(1) See more
C Program to Find GCD of two Numbers
The HCF or GCD of two integers is the largest integer that can exactly divide both numbers (without a remainder). There are many ways to find the greatest common divisor in C …
GCD of Two Numbers in C - GeeksforGeeks
Jul 2, 2024 · The GCD of two numbers is the largest positive integer that completely divides both numbers without leaving a remainder. In this article, we will learn to calculate the GCD of two numbers in the C programming language.
GCD of Two Numbers in C++ - GeeksforGeeks
2 days ago · GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that exactly divides both numbers. In this article, we will learn to write a …
C Program to find GCD of Two Numbers - Tutorial …
Aug 1, 2016 · Learn how to write a C program to calculate the greatest common divisor (GCD) of two positive integers using different methods, such as for loop, while loop, functions, and recursion. See examples, explanations, and output …
C Program to Find the GCD of Two Numbers - Embedded Tech Hub
In this article, we’ll explore three different methods to write a C Program to Find the GCD of Two Numbers. Each method will be explained in detail with code examples and outputs, optimized …
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C Program to Find G.C.D Using Recursion
Learn how to calculate the GCD (Greatest Common Divisor) of two positive integers using recursion in C programming. See the code, output and explanation of this example with loops.
GCD of Two Numbers in C with Example - Sanfoundry
GCD stands for Greatest Common Divisor. GCD of two numbers in C is the largest positive integer that completely divides both the given numbers. Example: GCD (10,15) = 15, GCD (12,15) = 3. Write a C Program to Find the …
C program to find GCD of numbers using non-recursive function
Aug 31, 2021 · Refer an algorithm given below to find the greatest common divisor (GCD) for the given two numbers by using the non-recursive function. Step 1 − Start. Step 2 − Read the …
Euclidean algorithms (Basic and Extended) - GeeksforGeeks
Dec 13, 2024 · The Euclidean algorithm is a way to find the greatest common divisor of two positive integers. GCD of two numbers is the largest number that divides both of them. A …
