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what is the greatest integer that will always evenly divide

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Intern
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Joined: 22 Feb 2008
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what is the greatest integer that will always evenly divide  [#permalink]

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New post 23 Feb 2008, 00:06
1
what is the greatest integer that will always evenly divide the sum of three consecutive even no.
a=2
b=3
c=4
d=6
e=12

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Director
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Re: integers  [#permalink]

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New post 23 Feb 2008, 05:48
My solution may not be elegant, but I got it quick.
IMO it's 6.

To find the greatest divisor of the sum of any three consecutive even numbers, think of the smallest set of three consecutive even numbers- 0, 2, 4
So it should be 6.
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Re: integers  [#permalink]

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New post 24 Feb 2008, 21:53
I get 6 as well..

took me sometime though..around 1 minute..

anyone got a shorter cut?
SVP
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Re: integers  [#permalink]

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New post 27 Feb 2008, 08:35
das wrote:
what is the greatest integer that will always evenly divide the sum of three consecutive even no.
a=2
b=3
c=4
d=6
e=12


The lowest we can achieve here is 0,2,4. Thus 6. Try other evens to make sure these sets are also divisible by 6.

D

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Re: what is the greatest integer that will always evenly divide  [#permalink]

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New post 20 Feb 2019, 23:14
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Re: what is the greatest integer that will always evenly divide   [#permalink] 20 Feb 2019, 23:14
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