answersLogoWhite

0

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'. !!!!!

User Avatar

lenpollock

Lvl 16
11mo ago

Still curious? Ask our experts.

Chat with our AI personalities

CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
JudyJudy
Simplicity is my specialty.
Chat with Judy
RossRoss
Every question is just a happy little opportunity.
Chat with Ross
More answers

The GCF is 27.

User Avatar

Wiki User

8y ago
User Avatar

GCD(189, 567, 2187) = 27

User Avatar

Wiki User

13y ago
User Avatar

Add your answer:

Earn +20 pts
Q: What is the greatest common divisor of 189 567 and 2187?
Write your answer...
Submit
Still have questions?
magnify glass
imp