Introduction to Highest Common Factor and Euclid's Division Algorithm

The video tutorial covers positive integers and their common factors, focusing on the highest common factor (HCF) or greatest common divisor (GCD). It explains two methods to find the HCF: multiplication and division. The division method is further explored with examples, including cases with non-zero remainders, leading to the introduction of Euclid's division lemma and algorithm. The tutorial emphasizes the practical application of these methods, especially for larger numbers.

Describe the division method for finding the highest common factor.

Why might one prefer the division method over the multiplication method for larger numbers?

What is Euclid's division lemma and how is it applied?