Python Program for GCD of more than two (or array) numbers Last Updated : 09 Feb, 2023 Comments Improve Suggest changes Like Article Like Report The GCD of three or more numbers equals the product of the prime factors common to all the numbers, but it can also be calculated by repeatedly taking the GCDs of pairs of numbers. gcd(a, b, c) = gcd(a, gcd(b, c)) = gcd(gcd(a, b), c) = gcd(gcd(a, c), b) Python # GCD of more than two (or array) numbers # This function implements the Euclidean # algorithm to find H.C.F. of two number def find_gcd(x, y): while(y): x, y = y, x % y return x l = [2, 4, 6, 8, 16] num1=l[0] num2=l[1] gcd=find_gcd(num1,num2) for i in range(2,len(l)): gcd=find_gcd(gcd,l[i]) print(gcd) # Code contributed by Mohit Gupta_OMG Output: 2 Time complexity : O(n + log(min(a, b))), as the function goes through the list of numbers and finds the GCD for each pair of numbers using the Euclidean algorithm.Auxiliary Space: O(log x), as the function only uses a few variables to store the GCD and the numbers being compared. Please refer complete article on GCD of more than two (or array) numbers for more details! Comment More infoAdvertise with us Next Article Python Program for GCD of more than two (or array) numbers kartik Follow Improve Article Tags : Python Practice Tags : python Similar Reads Python Program for Common Divisors of Two Numbers Given two integer numbers, the task is to find the count of all common divisors of given numbers? Input : a = 12, b = 24Output: 6Explanation: all common divisors are 1, 2, 3, 4, 6 and 12Input : a = 3, b = 17Output: 1Explanation: all common divisors are 1Input : a = 20, b = 36Output: 3Explanation: al 1 min read Python Program for Extended Euclidean algorithms Python3 # Python program to demonstrate working of extended # Euclidean Algorithm # function for extended Euclidean Algorithm def gcdExtended(a, b): # Base Case if a == 0 : return b,0,1 gcd,x1,y1 = gcdExtended(b%a, a) # Update x and y using results of recursive # call x = y1 - (b//a) * x1 y = x1 ret 1 min read Python Program for Basic Euclidean algorithms 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 , ", 1 min read numpy.gcd() in Python numpy.gcd() function computes the greatest common divisor (GCD) of two integers element-wise. The GCD of two numbers is the largest positive integer that divides both numbers without leaving a remainder.Pythonimport numpy as np res = np.gcd(36, 60) print(res)Output12 The GCD of 36 and 60 is 12, whic 2 min read Python | math.gcd() function In Python, math module contains a number of mathematical operations, which can be performed with ease using the module. math.gcd() function compute the greatest common divisor of 2 numbers mentioned in its arguments. Syntax: math.gcd(x, y) Parameter: x : Non-negative integer whose gcd has to be comp 2 min read Python | sympy.gcd() method With the help of sympy.gcd() method, we can find the greatest common divisor of two numbers that is passed as a parameter in the sympy.gcd() method. Syntax : sympy.gcd(var1, var2) Return : Return value of greatest common divisor. Example #1 : In this example we can see that by using sympy.gcd() meth 1 min read Python | sympy.gcd() method The function gcd() provides the direct way to compute Greatest Common Divisor for polynomials.That is, for polynomials f and g, it computes GCD. Syntax: sympy.gcd(f, g) Return: GCD of given polynomials Example #1: Python3 1== # import sympy from sympy import * f = (12 * x + 12)*x g = 32 * x**2 # Usi 1 min read Python | sympy.igcd() method With the help of sympy.igcd() method, we can find the greatest common divisor of two nonnegative integer numbers that is passed as a parameter in the sympy.igcd() method. Syntax : sympy.igcd(var1, var2) Return : Return value of greatest common divisor for nonnegative integer. Example #1 : In this ex 1 min read numpy.remainder() in Python numpy.remainder() is another function for doing mathematical operations in numpy.It returns element-wise remainder of division between two array arr1 and arr2 i.e. arr1 % arr2 .It returns 0 when arr2 is 0 and both arr1 and arr2 are (arrays of) integers. Syntax : numpy.remainder(arr1, arr2, /, out=No 2 min read gcd() in Python gcd() function in Python is used to compute the Greatest Common Divisor (GCD) of two integers. It is available in the math module and returns the largest positive integer that divides both numbers without leaving a remainder. Example:Pythonimport math a = 60 b = 48 print(math.gcd(a, b))Output12 Expl 2 min read Like