SOLUTION: I have an area 114 inches high by 144 inches wide. I need to know the largest tile I can use without having to cut the tile, and how many.

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Question 1010060: I have an area 114 inches high by 144 inches wide. I need to know the largest tile I can use without having to cut the tile, and how many.
Found 2 solutions by MathLover1, macston:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

an area 114in high by 144in wide:
A=114in%2A144in
A=16416in%5E2
to know the largest tile you can use without having to cut the tile, find greatest common factor of 114 and 144
114=+2%2A3%2A19 (3 distinct prime factors)
and 144=2%5E4%2A3%5E2 (6 prime factors, 2 distinct)
so, gcf%28114%2C144%29=2%2A3=6
and the largest tile will be 6in by 6in=>36in%5E2

16416in%5E2%2F36in%5E2=456 tiles



Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Largest tile you can use: 114in by 144 in
Number of tiles: 1