Question

The ratio of two numbers is 5:6 and their LCM is 480, then their HCF is

• A. 20
• B. 16
• C. 6
• D. 5

Answer 1

The correct option is B 16

Let numbers are $5x$ and $6x$.

Now, HCF of these two numbers is $x$.

We know that,

LCM $\times$ HCF $=$ Product of two numbers

$\Rightarrow 480\times x=5x\times 6x$

$\Rightarrow 480x=30x^2$

$\Rightarrow x=\frac{480}{30}=16$