Question

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is

Answer 1

LCM×HCF=Product of 2 no.

LCM=Product of 2 no./HCF

LCM =4107/37

LCM=111

Greater number is 111

Answer 2

Given :

Product of two numbers = 4107

HCF = 37

To Find :

The greater number

Solution :

Let the LCM is x

According to the given question

Product of two numbers = HCF x LCM

$= > 4107 = 37 \times x$

$= > x = \dfrac{4107}{37}$

$= > x = 111$

The greater number is 111.

Verify -

37 x 111 = 4107.

Hence, The greater number is 111.