GCD of two numbers using recursion

Write a C Program for GCD of two numbers using recursion. Here’s simple Program for GCD of two numbers using recursion in C Programming Language.

Recursion : :

Recursion is the process of repeating items in a self-similar way. In programming languages, if a program allows you to call a function inside the same function, then it is called a recursive call of the function.

The C programming language supports recursion, i.e., a function to call itself. But while using recursion, programmers need to be careful to define an exit condition from the function, otherwise it will go into an infinite loop.

Recursive functions are very useful to solve many mathematical problems, such as calculating the factorial of a number, generating Fibonacci series, etc.

Here is the source code of the C Program for GCD of two numbers using recursion. The C Program is successfully compiled and run on a Windows system. The program output is also shown below.

SOURCE CODE : :

/*  C Program for GCD of two numbers using recursion  */

#include<stdio.h>

int gcd_numbers(int ,int );

int main()
{
        int n1,n2,gcd;

        printf("Enter 1st number :: ");
        scanf("%d",&n1);
        printf("\nEnter 2nd number :: ");
        scanf("%d",&n2);

        gcd=gcd_numbers(n1,n2);

        printf("\nGCD of two numbers [ %d and %d ] is :: %d\n",n1,n2,gcd);
}


int gcd_numbers(int x,int y)
{
        while(x!=y)
    {
                if(x>y)
                        return gcd_numbers(x-y,y);

                else
                        return gcd_numbers(x,y-x);

        }

        return x;
}

OUTPUT : :

/*  C Program for GCD of two numbers using recursion  */

Enter 1st number :: 6

Enter 2nd number :: 32

GCD of two numbers [ 6 and 32 ] is :: 2

Process returned 0

Above is the source code for C Program for GCD of two numbers using recursion which is successfully compiled and run on Windows System.The Output of the program is shown above .

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