Question

The lcm of two numbers is 256. which of the following cannot be their HCF?

(a)16 (b)32 (c)64 (d)36​

Answer 1

36 cannot be their HCF.

Hope it helps you

Answer 2

Answer:

36 can't be their HCF.

So, option d is the correct answer.

Step-by-step explanation:

Given LCM of two numbers is 256.

Here we want to find which number can't be HCF of those numbers.

We know LCM of any two numbers is always divisible by HCF.

By option test we can solve this.

Option -a:

Here number is 16

and 256 is divisible by 16.

So,we can say that 16 can be their HCF.

Option -b:

Here number is 32

and 256 is divisible by 32

So,we can say that 32 can be their HCF.

Option -c:

Here number is 64

and 256 is divisible by 64.

So,we can say that 64 can be their HCF.

Option -d:

Here number is 36

and 256 is not divisible by 36.

So,we can say that 36 can not be their HCF.

Extra information,

1) HCF means Highest Common Factor

2) LCM means Largest Common Multiples

3) Product of HCF and LCM is equal to Product of two numbers

Know more about HCF,

https://brainly.in/question/25945206

https://brainly.in/question/20353612

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