# geometry

what is the greatest mass that can be taken an exact number of times from 720kg,1008kg and 672kg?

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1. 720 = 2^4 * 3^2 * 5
1080 = 2^3 * 3^3 * 5
672 = 2^5 * 3 * 7

So, the largest number that evenly divides all of those is

2^3 * 3 = 24

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posted by Steve
2. let me rephrase the question ...

what is the greatest common factor of
720, 1008, and 672 ?

720 = 8*9*10 = 16*3*3*5
1008 = 8*9*14 = 16*3*3*7
672 = 16*3*2*7

so who is common?
looks like 16*3 or 48

check:
720/48 = 15
1008/48 = 21
672/48 = 14 , nothing common in any of those 3 answers.

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posted by Reiny
3. I misread 1008 as 1080.
Go with Reiny.

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posted by Steve
4. 2*2*2*2*3
48

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posted by Solomon

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