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Is it true that the H.C.F of $420$ and $396$ is equal to 12?

see full answer

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True

False

answer is A.

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Detailed Solution

It is given that the H.C.F of

420

and

396

is equal to 12.
To find the H.C.F. of

420

and

396

.
Factors of

420 = 7 \times 5 \times 3 \times 2 \times 2

.
Factors of

396 = 2 \times 2 \times 3 \times 3 \times 11

.
So, H.C.F of

420

and

396

= 2 \times 2 \times 3 = 12

.
Therefore, the H.C.F of

420

and

396

is equal to 12 is true.
Hence, the correct option is 1.

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