C program to find GCD of two Numbers

# C program to find GCD of two Numbers

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C program to find of two numbers : GCD stands for Greatest common divisor. The greatest common divisor is the largest integer that divides both number1 and number2 without a remainder. GCD is also known as  the greatest common factor (gcf), or highest common factor (hcf).

Lets understand the concept of GCD using an example :

Suppose we want to calculate the GCD of 54 and 24.

Now we need to find the factors(all the that divide 54) of 54. The factors of 54 are :

1,2,3,6,9,18,27,54

Similarly, factor of 24 are :

1,2,3,4,6,8,12,24

Now the common factors of 54 are 1,2,3,6 out of which 6 is the greatest.

So 6 is the GCD i.e. Greatest common divisor of 54 and 24.

Now let us see how to write a C program to find GCD of two numbers using Recursive Euclid’s algorithm.

## C program to find GCD of two numbers :

```#include<stdio.h>
#include<conio.h>
int gcd(int num1, int num2) {
if (num2)
return gcd(num2, num1 % num2);
else
return num1 < 0 ? -num1 : num1;
}
int main()
{
int a,b,c;
printf("\nEnter two numbers : ");
scanf("%d%d",&a,&b);
c= gcd(a,b);
printf("\nGCD of %d and %d is : %d",a,b,c);
getch();
return 0;
}```

We hope you all have enjoyed the C program to find GCD of two numbers. If you have any issues with the logic or the code ask me in form of comments.

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Well, I am software programmer and love to code. My hobbies is to do Hacking, Coding, Blogging, Web Designing and playing online games. Feel free to contact me at shiviskingg@gmail.com or lokesh@hackingloops.com

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8. If we know the LCM of two numbers (let’s say A and B) then we can find GCD of A and B using following expression:
LCM(A, B) X GCDA, B) = A*B