Question

the product of two number is 1200 . if LCM of the number is 60 what is the. HCF ?? ​

Answer 1

Answer:

20

Step-by-step explanation:

LCM×HCF= Product of 2 numbers

or, 60×HCF = 1200

or, HCF= 1200/60

or, HCF=20

Answer 2

Answer:

Hi there! Here is your answer mate!

HCF is 20.

Step-by-step explanation:

Given:

Lowest Common Multiple (LCM) = 60

Product of the numbers = 1200

Asked:

Highest Common Factor = ?

Solution:

Highest Common Factor × Lowest Common Multiple = 1st Number × 2nd Number

⇒ Highest Common Factor × 60 = 1200

⇒ Highest Common Factor = $\frac{1200}{60}$

= Highest Common Factor = 20

Therefore,

The HCF is 20.

Verification:

Now we will do verification to know that answer is correct or not?

So we know,

Highest Common Factor = 20

Lowest Common Multiple = e

Now, we will assume that we don't know the product of 1st number and 2nd number.

But we know the values of HCF and LCM,

So with the help of HCF and LCM we will find the product of 1st number and 2nd number.

It is already given in the question.

If the product of 1st number and 2nd number we will find now and the product of 1st number and 2nd number given in the question are same then the answer is exactly correct.

Highest Common Factor × Lowest Common Multiple = 1st Number × 2nd Number

20 × 60 = 1st Number × 2nd Number

1200 = 1st Number × 2nd Number

Therefore,

the product of 1st number and 2nd number is 1200. The same is given in the question. It means that our answer is correct!

Hope it will help you!