on this page we will learn to create a python program to find HCF of a Number using Recursion. HCF – Highest common factor of two or more number such that it can completely divide all the …

This python program uses recursive function in python to calculate Highest Common Factor (HCF). HCF is also known as Greatest Common Divisor (GCD).

Here, two integers stored in variables num1 and num2 are passed to the compute_hcf() function. The function computes the H.C.F. these two numbers and returns it. In the function, we first determine the smaller of the two numbers since the H.C.F can only be less than or equal to the smallest number.

Dec 2, 2019 · I am asked to find the greatest common divisor of integers x and y using a recursive function in Python. The condition says that: if y is equal to 0 then gcd (x,y) is x; otherwise gcd (x,y) is gcd (y,x%y).

Mar 31, 2025 · Python offers multiple ways to find the HCF and LCM, ranging from built-in math modules to custom implementations. This article explores the various ways of calculating HCF …

Feb 9, 2024 · Recursive program to find GCD or HCF of two numbers. Below is the iterative implementation of Euclid’s algorithm. // numbers iteratively. #Python program to find HCF of two numbers iteratively. Approach 2: To find the highest common factor (HCF) of two numbers “a” and “b”, start with the input values. Enter a loop while “b” is not Zero.

Feb 15, 2022 · In this tutorial, we are going to learn writing python program to calculate the Highest Common Factor of two numbers. We will use recursion to calculate the HCF. For any two numbers that are inputs given by the user, we have to calculate and print the h.c.f. of that numbers. For example: Case1: If the user inputs the numbers 4 and 6.

Feb 21, 2022 · Description GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that divides both of them. A simple solution is to find all prime factors of both numbers, then find intersection of all factors present in both numbers. Finally return product of elements in the intersection. C/C++

Oct 7, 2019 · This Python program offers an efficient and straightforward method for finding the Highest Common Factor (HCF) of two numbers using the Euclidean Algorithm. You can use this program as a standalone utility or incorporate it into larger Python projects.

Nov 19, 2023 · Here's a program in Python to find the Highest Common Factor (HCF) of N numbers using recursion: ```python. def find_hcf (a, b): if b == 0: return a. else: return find_hcf (b, a % b) def find_hcf_of_n_numbers (numbers): n = len (numbers) hcf = numbers [0] for i in range (1, n): hcf = find_hcf (hcf, numbers [i]) return hcf. # Example usage: