In this post, we will learn **how to find GCD of two numbers using recursion in C** Programming language.

The **greatest common divisor (GCD)** of two nonzero integers **a** and **b** is the greatest positive integer **d** such that **d** is a divisor of both **a** and **b**.

We will define a custom recursive function which will calculate the GCD of two numbers.

So, without further ado, letâ€™s begin this tutorial.

**C Program to Find GCD of Two Numbers Using Recursion**

// C Program To Find GCD of Two Number Using Recursion #include <stdio.h> int GCD(int x, int y); int main(){ int a, b; // Asking for Input printf("Enter Two Positive Integers: \n"); scanf("%d\n %d", &a, &b); printf("GCD of %d and %d is %d.", a, b, GCD(a, b)); return 0; } int GCD(int x, int y){ if( y != 0) return GCD(y, x % y); else return x; }

**Output**

```
Enter Two Positive Integers:
40
412
GCD of 40 and 412 is 4.
```

**How Does This Program Work ?**

** int a, b;**

In this program, we have declared two int data type variables named as **a** and **b**.

** // Asking for Input
printf("Enter Two Positive Integers: \n");
scanf("%d\n %d", &a, &b);**

Then, the user is asked to enter the value of two integers. The value of these two integers will get stored in **a** and **b** respectively.

` `**printf("GCD of %d and %d is %d.", a, b, GCD(a, b));**

We print the **GCD **of two numbers using** printf()** function. Here, we called our custom function which will calculate the **GCD** of two numbers.

**int GCD(int x, int y){
if( y != 0)
return GCD(y, x % y);
else
return x;
}**

We have declared a recursive function named** GCD** which will compute and return the **GCD of two numbers**.

**Conclusion**

I hope after going through this post, you understand h**ow to find gcd of two numbers using recursion in C** Programming language.

If you have any doubt regarding the program, feel free to contact us in the comment section. We will be delighted to help you

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