Find HCF of Two Numbers in C

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Find HCF of Two Numbers Program in C

To find the HCF (Highest Common Factor) of two or more numbers, make prime factors of the numbers and choose the common prime factors. Then the take the highest common factor this highest common factor is hcf of number. For example;

Find HCF of Two Numbers Program in C

Suppose find HCF of 4 and 8
4=4*1=2*2
8=8*1=2*4=2*2*2
Factor of 4 is 1, 2, 4
Factor of 8 is 1, 2, 4, 8
So, common factor of 4 and 8 is 1, 2, 4
and highest common factor is 4
hcf of 4 and 8 is: 4

program to find hcf of two numbers

#include<stdio.h>
#include<conio.h>

void gcd(int,int);

void main()
{
    int a,b;
    clrscr();
    printf("Enter two numbers: ");
    scanf("%d %d",&a,&b);
    gcd(a,b);
    getch();
  //  return 0;
}

//function to calculate g.c.d
void gcd(int a,int b)
{
    int m,n;

    m=a;
    n=b;

    while(m!=n)
    {
        if(m>n)
            m=m-n;
        else
            n=n-m;
    }

    printf("\nH.C.F of %d and %d is: %d",a,b,m);
}

Output

Enter any two number: 
3
15
H.C.F of 3 and 15 is: 3

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