Find the greatest number that divides each of 120, 144 and 204 completely.

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Solution

The correct option is C
12

In order to find the greatest number that divides each of 120, 144 and 204 completely, we need to find the H.C.F of 120, 144 and 204

$H . C . F o f t h r e e g i v e n n u m b e r s = [H . C . F o f (H . C . F o f a n y t w o n u m b e r s), t h i r d n u m b e r]$

First, find the HCF of 120, 204

HCF of 120 and 204 is 12.

Now, find the HCF of 12 and 144.

HCF of 12 and 144 is 12.

$∴$ HCF of 120, 144, 204 is 12.

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