Question

Find the HCF and LCM of two numbers 3364 and 54.

Answer 1

Number 3364 and 54 By prime factorization of 3364 and 54.

3364 = 2 x 2 x 29 x 29 

= 2² x 29²

and 54 = 2 x 3 x 3 x 3 

= 2 x 3³

For HCF, taking maximum power of common factor.

H.C.F. = 2

For LCM, taking maximum power of common factor.

L.C.M. = 2² x 3³ x 29² 

= 4 x 27 x 841 = 90,828