**GCD of two numbers using recursion**

**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 : :**

- 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
of the function.**recursive call**

- 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 : :**

**SOURCE CODE : :**

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 | /* 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 : :**

**OUTPUT : :**

1 2 3 4 5 6 7 8 9 | /* 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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