C program to find hcf and lcm: The code below finds highest common factor and least common multiple of two integers. HCF is also known as greatest common divisor(GCD) or greatest common factor(gcf).
C programming code
#include <stdio.h>
#include<conio.h>
void main()
{
int a, b, x, y, t, gcd, lcm;
printf("Enter two integers\n");
scanf("%d%d", &x, &y);
a = x;
b = y;
while (b != 0)
{
t = b;
b = a % b;
a = t;
}
gcd = a;
lcm = (x*y)/gcd;
printf("Greatest common divisor of %d and %d = %d\n", x, y, gcd);
printf("Least common multiple of %d and %d = %d\n", x, y, lcm);
getch();
}
C program to find hcf and lcm using recursion
#include <stdio.h>
#include<conio.h>
long gcd(long, long);
void main()
{
long x, y, hcf, lcm;
printf("Enter two integers\n");
scanf("%ld%ld", &x, &y);
hcf = gcd(x, y);
lcm = (x*y)/hcf;
printf("Greatest common divisor of %ld and %ld = %ld\n", x, y, hcf);
printf("Least common multiple of %ld and %ld = %ld\n", x, y, lcm);
getch();
}
long gcd(long a, long b)
{
if (b == 0)
{
return a;
}
else
{
return gcd(b, a % b);
}
}
C program to find hcf and lcm using function
#include <stdio.h>
#include<conio.h>
long gcd(long, long);
void main()
{
long x, y, hcf, lcm;
printf("Enter two integers\n");
scanf("%ld%ld", &x, &y);
hcf = gcd(x, y);
lcm = (x*y)/hcf;
printf("Greatest common divisor of %ld and %ld = %ld\n", x, y, hcf);
printf("Least common multiple of %ld and %ld = %ld\n", x, y, lcm);
getch();
}
long gcd(long x, long y)
{
if (x == 0)
{
return y;
}
while (y != 0)
{
if (x > y)
{
x = x - y;
}
else
{
y = y - x;
}
}
return x;
}
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