How to Find Greatest Common Divisor (GCD) Using Recursion in Python

Submitted by razormist on Wednesday, August 13, 2025 - 23:03.

In this tutorial, we will learn how to program "How to Find the Greatest Common Divisor (GCD) Using Recursion in Python."The objective is to evaluate and compute the GCD for the given numbers using the recursion method. This tutorial will guide you step by step through the entire process of determining the GCD. By the end of this tutorial, you will have a solid understanding of how to implement this task effectively, helping you strengthen your problem-solving abilities and enhance your Python coding skills.

This topic is straightforward to understand. Just follow the instructions provided, and you will complete it with ease. The program will guide you step by step through evaluating and computing the GCD. So, let’s dive into the coding process!

Getting Started:

First you will have to download & install the Python IDLE's, here's the link for the Integrated Development And Learning Environment for Python https://www.python.org/downloads/.

Creating Main Function

This is the main function of the application. The following code will display a simple GUI in terminal console that will display program. To do this, simply copy and paste these blocks of code into the IDLE text editor.

def gcd(a,b):
    if(b==0):
        return a
    else:
        return gcd(b,a%b)
 
 
while True:
    print("\n============== Find Greatest Common Divisor (GCD) Using Recursion ==============\n")
 
    a=int(input("Enter first number:"))
    b=int(input("Enter second number:"))
    GCD=gcd(a,b)
 
    print("GCD is: ")
    print(GCD)
 
    opt = input("\nDo you want to try again? (yes/no): ").strip().lower()
    if opt == 'no':
        print("Exiting program...")
        break
    elif opt != 'yes':
        print("Invalid choice. Exiting program...")
        break

This Python program computes the Greatest Common Divisor (GCD) of two integers using a recursive function based on the Euclidean algorithm. It prompts the user for two numbers, calls the `gcd` function to calculate their GCD, and displays the result. The program runs in a loop, allowing repeated calculations until the user chooses to exit.

Output:

There you have it we successfully created How to Find Greatest Common Divisor (GCD) Using Recursion in Python. I hope that this simple tutorial help you to what you are looking for. For more updates and tutorials just kindly visit this site. Enjoy Coding!

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