Question

find the HCF of 180, 420,378​

Answer 1

Numbers are 180, 420 , 378

Represent them in the form of thier prime factors.

So,

180 = 2² × 5 × 3²

420 = 2²× 3 × 5 × 7

378 = 2 × 7 × 3³

H.C.F = common terms with lowest power

=> 2 × 3

=> 6

Hence, H.C.F of the following numbers is 6.