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The highest common factor of 363, 495, and 561 is N. The digit sum of N is:
Question

The highest common factor of 363, 495, and 561 is N. The digit sum of N is:

A.

6

B.

7

C.

5

D.

4

Correct option is A

Given:

The numbers are 363, 495, and 561.

Solution:

Prime factorization of 363:

363 = 3 × 121 = 3 × 11 × 11

Prime factorization of 495:

495 = 5 × 99 = 5 × 3 × 33 = 5 × 3 × 3 × 11

Prime factorization of 561:

561 = 3 × 187 = 3 × 11 × 17

The common prime factors are 3 and 11.

HCF = 3 × 11 = 33

Digit sum of 33 = 3 + 3 = 6
The digit sum of N is 6.

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