Question

the LCM of 2 number is 1200 which of the following cannot be their HCF
(1) 600
(2)500
(3)400
(4)200

Answer 1

Answer:

We know that HCF of two numbers is always a factor of their LCM

Of the given options, only 500 is not a factor of 1200

So, 500 cannot be the HCF of the two numbers.

Answer 2

Answer:

(2) 500

Step-by-step explanation:

Given:

The LCM of two numbers = 1200.

To find:

The HCF of the same two numbers

Solution:

By formula, product of two numbers =\mathrm{HCF} \times \mathrm{LCM}=HCF×LCM

Let the two numbers be x,y

From the details given in question, \mathrm{HCF} \times 1200=x \times yHCF×1200=x×y

The four options given in question are 600, 400, 500, and 200.

From the available options given, 500 cannot be the HCF since it cannot divide 1200.

hope it helps……