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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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7mo ago
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7y ago

The GCF is 27.

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Wiki User

13y ago

GCD(189, 567, 2187) = 27

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