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A mathemtical trick is to note that all three numbers are divisible by '9'.

How do we known this?? Because the sum of the digits in each number adds to '9'.

Hence 189, 567, 2187)

189 ; 1 + 8 + 9 = 18 = 1 + 8 = 9

567 ; 5 + 6 + 7 = 18 = 1 + 8 = 9

2187 [ 2 + 1 + 8 + 7 = 18 = 1 + 8 = 9

189/9 = 21

567/ 9 = 63

2187/9 = 243

All three sub-answer will divide by '3'

Hence 7,9,81 ( There are NO common factors )

Hence

9 x 3 = 27 is the GCF.

NB THis mathemtical 'trick' can only be done with '9'. !!!!!

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lenpollock

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11mo ago

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More answers

The GCF is 27.

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Wiki User

8y ago
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GCD(189, 567, 2187) = 27

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Wiki User

13y ago
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Q: What is the greatest common divisor of 189 567 and 2187?
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