Question

find HCF and LCM of 18,35 by prime factorisation And verify that
HCF×LCM=product of two numbers

Answer 1

Answer :

We can write our numbers 18 and 35 by prime factorisation :

18 = 2 $\times$ 3 $\times$ 3
And
35 = 5 $\times$ 7

So,

L.C.M . ( 18 , 35 ) = 2 $\times$ 3 $\times$ 3$\times$ 5 $\times$ 7 = 630
And
H.C.F. ( 18 , 35 ) = 1 ( As both numbers have no common factor )

And

HCF $\times$ LCM = Multiplication of two numbers

630 $\times$ 1 = 18 $\times$ 35

630 = 630 ( Verified )