Question

Two numbers are in the ratio 3:5 and their lcm is 75 thier hcf is ?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The HCF is 5.

Step-by-step explanation:

Given : Two numbers are in the ratio 3:5 and their LCM is 75.

To find : Their HCF is ?

Solution :

Let the common ratio be 'x'.

Two numbers are in the ratio 3:5.

The numbers became 3x and 5x.

Since the highest common factor of number is x.

LCM is 75.

We know,

$\text{Product of two numbers}=HCF\times LCM$

$3x\times 5x=x\times 75$

$15x^2=75x$

$15x=75$

$x=\frac{75}{15}$

$x=5$

Therefore, the HCF is 5.

#Learn more

The product of two number is 450 if thier LCM is 75 find the HCF

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