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 Next Article Company Preparation K kartik Follow Improve Article Tags : Python Practice Tags : python Similar Reads Interview PreparationInterview Preparation For Software DevelopersMust Coding Questions - Company-wise Must Do Coding Questions - Topic-wiseCompany-wise Practice ProblemsCompany PreparationCompetitive ProgrammingSoftware Design-PatternsCompany-wise Interview ExperienceExperienced - Interview ExperiencesInternship - Interview ExperiencesPractice @GeeksforgeeksProblem of the DayTopic-wise PracticeDifficulty Level - SchoolDifficulty Level - BasicDifficulty Level - EasyDifficulty Level - MediumDifficulty Level - HardLeaderboard !!Explore More...Data StructuresArraysLinked ListStackQueueBinary TreeBinary Search TreeHeapHashingGraphAdvance Data StructuresMatrixStringAll Data StructuresAlgorithmsAnalysis of AlgorithmsSearching AlgorithmsSorting AlgorithmsPattern SearchingGeometric AlgorithmsMathematical AlgorithmsRandomized AlgorithmsGreedy AlgorithmsDynamic ProgrammingDivide & ConquerBacktrackingBranch & BoundAll AlgorithmsProgramming LanguagesCC++JavaPythonC#Go LangSQLPHPScalaPerlKotlinWeb TechnologiesHTMLCSSJavaScriptBootstrapTailwind CSSAngularJSReactJSjQueryNodeJSPHPWeb DesignWeb BrowserFile FormatsComputer Science SubjectsOperating SystemsDBMSComputer NetworkComputer Organization & ArchitectureTOCCompiler DesignDigital Elec. & Logic DesignSoftware EngineeringEngineering MathematicsData Science & MLComplete Data Science CourseData Science TutorialMachine Learning TutorialDeep Learning TutorialNLP TutorialMachine Learning ProjectsData Analysis TutorialTutorial LibraryPython TutorialDjango TutorialPandas TutorialKivy TutorialTkinter TutorialOpenCV TutorialSelenium TutorialGATE CSGATE CS NotesGate CornerPrevious Year GATE PapersLast Minute Notes (LMNs)Important Topic For GATE CSGATE CoursePrevious Year Paper: CS exams Like