Sure, here's an example of a simple game that follows Euclid's Division algorithm:
Euclid's Division Algorithm Game
In this game, there are three characters represented by letters A, B, and C. By clicking on each character, a random number is assigned to either `a` or `b`, following the rules of Euclid's Division algorithm. Once both `a` and `b` values are assigned, the algorithm is applied, and the result is displayed. The game can be played by clicking on the characters and observing the result displayed below.
Please note that this is a basic implementation of the game and can be further enhanced with additional features, graphics, and user interactions based on your requirements.