Python Program for Basic Euclidean algorithms Last Updated : 23 Jul, 2025 Comments Improve Suggest changes Like Article Like Report Python3 # Python program to demonstrate Basic Euclidean Algorithm # Function to return gcd of a and b def gcd(a, b): if a == 0 : return b return gcd(b%a, a) a = 10 b = 15 print("gcd(", a , "," , b, ") = ", gcd(a, b)) a = 35 b = 10 print("gcd(", a , "," , b, ") = ", gcd(a, b)) a = 31 b = 2 print("gcd(", a , "," , b, ") = ", gcd(a, b)) # Code Contributed By Mohit Gupta_OMG <(0_o)> Output: GCD(10, 15) = 5 GCD(35, 10) = 5 GCD(31, 2) = 1 Time Complexity: O(Log min(a, b)) Auxiliary Space: O(Log min(a, b)), due to recursion stack. Please refer complete article on Basic and Extended Euclidean algorithms for more details! Comment More infoAdvertise with us K kartik Follow Improve Article Tags : Python Practice Tags : python Explore Python FundamentalsPython Introduction 3 min read Input and Output in Python 4 min read Python Variables 6 min read Python Operators 5 min read Python Keywords 2 min read Python Data Types 8 min read Conditional Statements in Python 3 min read Loops in Python - For, While and Nested Loops 7 min read Python Functions 8 min read Recursion in Python 6 min read Python Lambda Functions 6 min read Python Data StructuresPython String 6 min read Python Lists 6 min read Python Tuples 6 min read Dictionaries in Python 7 min read Python Sets 10 min read Python Arrays 9 min read List Comprehension in Python 4 min read Advanced PythonPython OOP Concepts 11 min read Python Exception Handling 6 min read File Handling in Python 4 min read Python Database Tutorial 4 min read Python MongoDB Tutorial 2 min read Python MySQL 9 min read Python Packages 12 min read Python Modules 7 min read Python DSA Libraries 15 min read List of Python GUI Library and Packages 11 min read Data Science with PythonNumPy Tutorial - Python Library 3 min read Pandas Tutorial 6 min read Matplotlib Tutorial 5 min read Python Seaborn Tutorial 15+ min read StatsModel Library- Tutorial 4 min read Learning Model Building in Scikit-learn 8 min read TensorFlow Tutorial 2 min read PyTorch Tutorial 7 min read Web Development with PythonFlask Tutorial 8 min read Django Tutorial | Learn Django Framework 10 min read Django ORM - Inserting, Updating & Deleting Data 4 min read Templating With Jinja2 in Flask 6 min read Django Templates 7 min read Python | Build a REST API using Flask 3 min read How to Create a basic API using Django Rest Framework ? 4 min read Python PracticePython Quiz 3 min read Python Coding Practice 1 min read Python Interview Questions and Answers 15+ min read Like