C++ Program to Find G.C.D Using Recursion

This program takes two positive integers from user and calculates GCD using recursion.

Visit this page to learn, how you can calculate GCD using loops.

Example: Calculate H.C.F using recursion

#include <iostream>
using namespace std;

int hcf(int n1, int n2);

int main()
{
   int n1, n2;

   cout << "Enter two positive integers: ";
   cin >> n1 >> n2;

   cout << "H.C.F of " << n1 << " & " <<  n2 << " is: " << hcf(n1, n2);

   return 0;
}

int hcf(int n1, int n2)
{
    if (n2 != 0)
       return hcf(n2, n1 % n2);
    else 
       return n1;
}

Output

Enter two positive integers: 366 60
H.C.F of 366 and 60 is: 6