Question

find H.C.FandL.C.M of following pair of integers and verify H.C.F.×L.C.M=priduct of two numbers
54&336

Answer 1

$336 = 54 \times 6 + 12 \\ 54 = 12 \times 4 + 6 \\ 12 = 6 \times 2 + 0 \\ hcf \: = 6$
$lcm \: of \: 336 \: and \: 54 = 3024$
HCF ×LCM = (3024×6) = 18144
Product of two number = (336×54)= 18144
here proved
product of two number = product of LCM &HCF