Question

the LCM of two number is 1800. which of the following cannot be the HCF of the two numbers
a)45
b)225
C)400
d)200
please answer the question with rough work

Answer 1

THE ANSWER IS QUITE SIMPLE:

OPTION C IS YOUR ANSWER...

REASON: This number is not a factor of 1800 while other numbers are factors of 1800.

We can also say that  HCF is always a factor of LCM

HOPE it helps please mark as brainliest......

Answer 2

The required option is C) 400.

Step-by-step explanation:

Given,

The LCM of two number = 1800

To check the options, the numbers cannot be the HCF of the two numbers = ?

Check options:

a) 45

$\dfrac{1800}{45}=40,$ is exactly divisible by 45.

b) 225

$\dfrac{1800}{225}=8,$ is exactly divisible by 225.

C) 400

$\dfrac{1800}{225}=4.5,$, is exactly not divisible by 400.

d) 200

$\dfrac{1800}{200}=9,$ is exactly divisible by 200.

Hence, the required option is C) 400.