Euclid's Algorithm

Demystifying Numbers with Euclid's Algorithm: An Interactive Adventure!
Have you ever wondered what the biggest number is that can perfectly divide two other numbers? This is where Euclid's Algorithm comes in! This brilliant mathematical tool, developed centuries ago, helps you find the greatest common divisor (GCD) or highest common factor (HCF) of any two whole numbers.
This interactive tutorial will take you on a step-by-step journey to mastering Euclid's Algorithm. Forget memorizing formulas – here, you'll learn by doing! Through engaging exercises and clear explanations, you'll be a GCD/HCF pro in no time.
So, are you ready to unlock the secrets hidden within numbers? Let's begin!

Euclid's Algorithm is one of the oldest algorithms known to  mankind. It was found in Euclid's Elements, something dates back to 300 B.C.

When Euclid came up with the algorithm, mathematics was not known as it is today; in fact, he used geometrical methods in his discovery, as algebra was not known at that time, as a branch of mathematics.

Euclid's algorithm is used to find the HCF - Highest Common Factor - or GCD - Greatest Common Divider - of two numbers.

The following animation shows how it determines the HCF of two numbers:

 

 

The corresponding flow chart for the Euclid algorithm is as follows:

 

 

Please work out the following questions to complement what you have just learnt.