Question

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is
A) 101 B) 107 C) 111 D) 185

Answer 1

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, Option (C) - 111 is the required answer.

Answer 2

Answer:

111

Step-by-step explanation:

Given,

The product of two numbers is 4107.

And their HCF = 37

Let,

The one number is a.

And the another is b.

We know that,

a × b = LCM × HCF

=> 4107 = LCM × 37

=> 4107/37 = LCM

=> LCM = 111

So,

The greatest number is 111.

Hope this helps you.