Question

The HCF of two numbers is 29 and their LCM is 1470. If one of the numbers is 174,find the other.

Answer 1

Given :–

1. HCF = 29
2. LCM = 1470
3. One of the number = 174

To Find :–

• Find the other number.

Solution :–

Let, the other number be x.

We know that,

• $\sf \red{LCM \times HCF = Products \: of \: the \: two \: numbers}$

$\implies 1470 \times 29 = 174 \times x$

$\implies 42630 = 174 \times x$

$\implies \frac{ \cancel{42630}}{ \cancel{174}} = x$

$\implies 245 = x$

Hence,

The other number is $\boxed{245}$