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

Solutions :-

Given :
The product of two numbers = 4107
H.C.F. of these numbers = 37

Let the LCM be x


We know that,
LCM × HCF = Product of two Numbers


A/q

=> x × 37 = 4107
=> x = 4107/37 = 111


Hence,
The greater number = C) 111

Answer 2

Answer : Option ( C ) - 111.

Explanation -

Given :

Product of two numbers = 4107

HCF = 37 .

we know ,

Product of two numbers = HCF x LCM

$4107 = 37 \times x$

$4107 = 37x$

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

Simplifying by 37.

$x = 111$

The Other Number is 111.

Verify -

37 x 111 = 4107.

Hence :

$\bold{The \: greatest \: Number \: is \: 111}$