Question

The LCM of two numbers is 1200. Which of the following cannot be their HCF

Answer 1

$\large \mathfrak {Correct\ Question :-}$

LCM of two number is 1200 which of the following cannot be there HCF ?

a. 600

b. 400

c. 500

d. 200

Among the given options, 500 cannot be the HCF

Given:

The LCM of two numbers = 1200.

To find:

The HCF of the same two numbers

Solution:

By formula, product of two numbers = HCF x LCM

Let the two numbers be X,Y

From the details given in question, HCF x 1200 = X 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

Answer 2

Answer:

Correct option is B 500

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.