Question

find hcf and lcm of 336 and 54
and verify that hcf×lcm =product of two numbers (fully solved please)

Answer 1

euclid 's division lemma

a=bq+r where 0<or=r<b

so,

336=54*6+12

54=6*9+0

so,

LCM=2^4*3^3*7=3024

HCF=6

LCM*HCF=PRODUCT OF 2 NUMBERS

LHS=3024*6=18144

RHS=336*54=18144

so,

LHS=RHS

HENCE, PROVED