greatest common divisor c++

To find the greatest common divisor (GCD) of two numbers in C++, you can use the Euclidean algorithm. Here's an explanation of each step involved in finding the GCD:

  1. Step 1: Accept two numbers from the user. Let's call them num1 and num2.

  2. Step 2: Use a while loop to iterate until num2 becomes 0. Inside the loop, perform the following steps:

  3. Step 2.1: Calculate the remainder of num1 divided by num2. This can be done using the modulus operator %. Assign the result to a variable, let's call it remainder.

  4. Step 2.2: Assign the value of num2 to num1.

  5. Step 2.3: Assign the value of remainder to num2.

  6. Step 3: Once the while loop terminates (when num2 becomes 0), the value of num1 will be the GCD of the original two numbers.

Here is an example code snippet that implements the above steps:

#include <iostream>

int main() {
    int num1, num2;
    std::cout << "Enter the first number: ";
    std::cin >> num1;
    std::cout << "Enter the second number: ";
    std::cin >> num2;

    while (num2 != 0) {
        int remainder = num1 % num2;
        num1 = num2;
        num2 = remainder;
    }

    std::cout << "The greatest common divisor is: " << num1 << std::endl;

    return 0;
}

In this code, the user is prompted to enter two numbers. The while loop performs the Euclidean algorithm until num2 becomes 0. Finally, the GCD is displayed as the value of num1.