Posted by **Ghislaine** on Tuesday, June 17, 2014 at 9:55pm.

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

- geometry -
**Steve**, Tuesday, June 17, 2014 at 10:13pm
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

- geometry -
**Reiny**, Tuesday, June 17, 2014 at 10:13pm
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.

- geometry - oops -
**Steve**, Tuesday, June 17, 2014 at 10:17pm
I misread 1008 as 1080.

Go with Reiny.

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