Question

Can two numbers have 12 as their HCF and 512 their LCM? Justify your answer.

Answer 1

512div 12 = 42.3 and it's not divide completely so the 12 as hcf and 512 as lcm for any 2 no is not possible

Answer 2

Answer : NO

Explanation -

Given :

HCF = 12

LCM = 512

let the first number = 12x

let the second number = 12y

Product of two numbers = HCF x LCM

12x (x) 12y = 12 x 512

144xy = 6144

xy = 6144/144

xy = 42.66

Hence :

"xy" is not an exact value . So, two numbers cannot have 12 as their HCF and 512 as their LCM.