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If M1 = 25 × 36 × 72 × 55, M2 = 23 × 35 × 74 × 5 and M3 = 27 × 32 × 7 then what is the greatest common factor of M1, M2, and M3?

1. 23 × 34 × 74

2. 23 × 32 × 72

3. 23 × 33 × 72

4. 23 × 32 × 7


1. 1
2. 2
3. 3
4. 4

1 Answer

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Best answer
Correct Answer - Option 4 : 4

Given:

If M1 = 25 × 36 × 72 × 55, M2 = 23 × 35 × 74 × 5 and M3 = 27 × 32 × 7 

Calculation:

M1 = 25 × 36 × 72 × 55             

M2 = 23 × 35 × 74 × 5

M3 = 27 × 32 × 7

Common in M1, M2, M3

⇒ 23 × 32 × 7

5 is not in M3, that's the not considered

∴ The greatest common factor of M1, M2, and M3 is 23 × 32 × 7.

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