Question

The HCF of two number is $8$ and their LCM is $48$.if one number is $16$,find the other.

Answer 1

We know a relationship between HCF and LCM, i.e.,

HCF $\times$LCM $=$ product of two number

Here, HCF$=8$ , LCM$=48$, one number$=16$

So, $8\times 48=16\times$other number

Therefore, other number

$$\begin{gathered} =(8\times 48)÷16 \\ =384÷16 \\ =24 \end{gathered}$$

Hence, other number is $24$