Question

The HCF of two numbers is 119 and their LCM is 11781. If one of the numbers is 1071, find the other number ?

Answer 1

Given,

L.C.M=$11781$

H.C.F=$119$

First number=$1071$

Let $2$nd number be =$x$

Product of two numbers=product of their L.C.M and H.C.F

$\Rightarrow 1071x=11781\times 119$

$\Rightarrow x=\frac{11781\times 119}{1071}$

$\Rightarrow x=1309$

The other number is $1309$.