Write an algorithm to find the HCF (Highest Common Factor) of the two numbers entered by a user. Transform your algorithm into a C program, support your program with suitable comments.
An algorithm to find the Highest Common Factor (HCF), also known as the Greatest Common Divisor (GCD), of two numbers, followed by a C program that implements this algorithm.
Algorithm to Find HCF
Start
Input: Read two integers, num1 and num2.
Check: If num2 is 0, then:
Set HCF = num1
Go to step 6
Calculate:
Set temp = num2
Set num2 = num1 % num2 (find the remainder)
Set num1 = temp
Repeat: Go back to step 3.
Output: Display HCF.
End
C Program to Find HCF
#include
// Function to calculate HCF using the Euclidean algorithm
int findHCF(int num1, int num2) {
// Loop until num2 becomes 0
while (num2 != 0) {
// Store the current num2
int temp = num2;
// Update num2 to be the remainder of num1 divided by num2
num2 = num1 % num2;
// Update num1 to be the previous value of num2
num1 = temp;
}
// When num2 is 0, num1 holds the HCF
return num1;
}
int main() {
int number1, number2, hcf;
// Prompt user for input
printf("Enter two integers: ");
scanf("%d %d", &number1, &number2);
// Calculate HCF
hcf = findHCF(number1, number2);
// Display the result
printf("The HCF of ?nd %d is: %d\n", number1, number2, hcf);
return 0; // Indicate successful completion
}
Explanation of the C Program
Function findHCF: This function implements the Euclidean algorithm to find the HCF. It keeps updating num1 and num2 until num2 becomes 0.
Main Function: It prompts the user to enter two integers, calls the findHCF function, and displays the result.
Comments: Each significant step is commented for clarity, explaining what the code is doing.
