Program to Find GCD

  • November 20, 2022
  • C++
Accessing Elements

The largest number that divides two or more numbers is the Greatest Common Divisor (GCD) for those numbers.

For example: Let’s say we have two numbers 45 and 27.

95 = 5 * 13 
30 = 2 * 3 * 5

So, the GCD of 95 and 30 is 5.

Program Code:

#include <iostream>
using namespace std;
int gcd(int a, int b) {
   if (b == 0)
   return a;
   return gcd(b, a % b);
}
int main() {
   int a = 95, b = 30;
   cout<<"GCD of "<< a <<" and "<< b <<" is "<< gcd(a, b);
   return 0;
}

Output:

GCD of 95 and 30 is 5

gcd() is a recursive function in the preceding program. It contains two parameters, a and b. If b exceeds zero, a is returned to the main() function. Otherwise, the gcd() function calls itself recursively with the values b and a%b.

Note: also read about Input and Output in Python

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