Euclid's Division Lemma is a method of expressing one number as a multiple of another plus a remainder. It forms the basis of the Euclidean Algorithm for finding the HCF (Highest Common Factor) of two numbers. Table of Contents What is Euclid's Division Lemma? Lemma Formula and Explanation Visual Animation of the Lemma Example Using Euclid’s Lemma Uses in Class 10 Maths How to Use Euclid's Lemma FAQs What is Euclid's Division Lemma? Euclid's Division Lemma is a way to divide two positive integers a and b (where a > b) in the form: a = bq + r, where 0 ≤ r < b This lemma is the foundation of the Euclidean algorithm for finding the HCF of two numbers, which is an essential concept in Class 10 Real Numbers chapter. Lemma Formula and Explanation Given two numbers a and b , we divide a by b to get a quotient q and remainder r : a = bq + r This statement helps us break down numbers and compute HCF ...