Question

find the HCF and LCM of 54 &444 and verify that the product of numbers =HCF× LCM

Answer 1

HCF (54,444)
444 = 54×8+12
54 = 12×4+4
12 = 4×3+0
HCF = 12
LCM of no.'s
54 = 2×3×3×3
444 = 2×2×3×37 common in both these are 2&3 so, LCM = 2×2×3×3×37 = 1332
LCM×HCF = 1332×4×3 = 5328×3 =23976
PRODUCT OF NUMBERS = 54×444 = 23976