math - C# find the greatest common divisor

Question

"The greatest common divisor of two integers is the largest integer that evenly divides each of the two numbers. Write method Gcd that returns the greatest common divisor of two integers. Incorporate the method into an app that reads two values from the user and displays the result."

(this is not homework, just an exercise in the book I'm using)

can you help me solve this? Here's what I've got so far.

(edit - I can submit the two numbers but it won't calculate the Gcd for me)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Greatest_Common_Divisor
{
class Program
{

    static int GetNum(string text)
    {
        bool IsItANumber = false;
        int x = 0;
        Console.WriteLine(text);

        do
        {
            IsItANumber = int.TryParse(Console.ReadLine(), out x);

        } while (!IsItANumber);

        return x;
    }
    static void Main(string[] args)
    {
        string text = "enter a number";
        int x = GetNum(text);
        text = "enter a second number";
        int y = GetNum(text);


        int z = GCD(x, y);
        Console.WriteLine(z);
    }

    private static int GCD(int x, int y)
    {
        int v = 0;
        int n = 0;

        v = GetGreatestDivisor(x, y);


        return v;

    }

    static int GetGreatestDivisor(int m, int h)
        {

            do
            {
                for (int i = m; i <= 1; i--)



                    if (m%i == 0 && h%i == 0)
                    {
                        int x = 0;
                        x = i;

                        return x;
                    }
            } while (true);
            return m;
        }

  }
}

Answer 1

Here's an implementation of the Euclidean algorithm that returns the greatest common divisor without performing any heap allocation.

You can substitute ulong for uint if needed. An unsigned type is used, as the technique does not work for signed values. If you know your a and b values are not negative, you can use long or int instead.

private static ulong GCD(ulong a, ulong b)
{
    while (a != 0 && b != 0)
    {
        if (a > b)
            a %= b;
        else
            b %= a;
    }

    return a | b;
}

This method is used in my metadata-extractor library, where it has associated unit tests.