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Calculate GCD / HCF of Two Numbers using Recursion



Write to calculate GCD / HCF of 2 number
(i)                 with recursion
(ii)               without recursion

#include<iostream>
using namespace std;

int HCF(int x, int y)
{
    int tmp;
    if(x<y)
    {
        tmp=x;
        x=y;
        y=tmp;//using tmp to swap x and y    
    }    
    while(x%y!=0)
    {
        tmp=x%y; //using tmp to store remainder
        y=x;
        x=tmp;    
    }
    return(y);
}

int HCF_rec(int x, int y){
    if(x%y==0)
    {
        return(y);
    }
    else
    {
        HCF(y,x%y);
    }
}

void main()
{
    int a,b,k;

cout<<"\n Enter Two Numbers: ";
cin>>a>>b;
    k=HCF(a,b);  
cout<<"\n\n Without Recursion";
    cout<<"\n\n HCF ("<<a<<","<<b<<") = "<<k<<"\n\n";
k=HCF_rec(a,b);  
cout<<"\n\n Using Recursion";
    cout<<"\n\n HCF ("<<a<<","<<b<<") = "<<k<<"\n\n";
system("pause");
}

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