# Euclid Game for finding the HCF

## Find Highest Common Factor using Euclid Game

The Euclid game is a mathematical game that involves finding the highest common factor (HCF) of two numbers using the Euclidean algorithm. In this game, two players take turns selecting two positive integers, and the goal is to determine the HCF of these numbers as quickly as possible.

To play the Euclid game, each player starts by selecting two positive integers. Then, the players take turns applying the Euclidean algorithm to the two numbers, until they reach the HCF. The first player to correctly identify the HCF wins the game.

Euclid Game

# Euclid Game to Find HCF

Enter two numbers to find their highest common factor:

The Euclidean algorithm is a method for finding the HCF of two numbers by iteratively dividing the larger number by the smaller number and taking the remainder, until the remainder is 0. The HCF is the last non-zero remainder obtained in this process.

The Euclid game is a fun way to practice mental math and problem-solving skills, and can be played by people of all ages. It is named after the ancient Greek mathematician Euclid, who is credited with first describing the algorithm for finding the HCF of two numbers.