By | 28.11.2016

# 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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