Euclid’s Division Lemma Formula: Explained With Example

BY Team Aakash Byju's

Euclid was the first Greek mathematician to introduce a new perspective on geometry.

Euclid's Division Lemma:

Euclid's division lemma states:

Euclid's Division Lemma formula

Important facts:

 You are left with a quotient and a remainder when you divide any integer by another non-zero integer.

The remainder is always less than the divisor.

The HCF of large numbers is calculated using Euclid's lemma.

Example1:

Using Euclid's division lemma, find the HCF of 420 and 130.

Example1:

Using Euclid's division lemma, find the HCF of 420 and 130.

Example2:

Find out the HCF of 225 and 867 using Euclid's division lemma?

Example2:

Find out the HCF of 225 and 867 using Euclid's division lemma?

Hope this helps.