In this article, we will write a C program to find the GCD of two given integers by using the recursive function.
Algorithm:
Main program:
Step 1: start
Step 2: read a,b
Step 3: call the sub program GCD(a,b) for print the value
Step 4: stop
Sub program: GCD(n,m)
Step 1: if n>m return GCD(n,m)
Step 2: if n==0 return m else goto step 3
Step 3: return GCD (n,m%n)
Step 4: return to main program
Flow CHART:
Write a C program to find the GCD of two given integers by using the recursive function
#include <stdio.h>
#include <conio.h>
int gcdrecursive(int m, int n)
{
if (n > m)
return gcdrecursive(n, m);
if (n == 0)
return m;
else
return gcdrecursive(n, m % n); // return to the main program
}
void main()
{
int a, b, igcd;
clrscr();
printf("enter the two numbers whose gcd is to be found:");
scanf("%d%d", &a, &b);
printf("GCD of a,b is %d", gcdrecursive(a, b)); // return to the sub program getch();
}
Input:
Enter the two numbers whose gcd is to be found: 5 25
Output:
GCD of a,b is : 5
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