Question

The product of two numbers is 1152 and their Lcm is 288.find their Hcf

Answer 1

Product of 2 numbers = LCM x HCF
1152 = 288 x HCF
HCF = 1152/288
HCF = 4

Answer 2

The HCF of both numbers is 4.

Step-by-step explanation:

We know that

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

If a and b are two numbers, then

$a\times b=HCF(a,b)\times LCM(a,b)$

It is given that the product of two numbers is 1152 and their Lcm is 288.

$1152=HCF\times 288$

Divide both sides by 288.

$\dfrac{1152}{288}=HCF$

$4=HCF$

Therefore, the HCF of both numbers is 4.

#Learn more

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