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How many factors greater than 1 do 120, 210, and 270 have in

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1625 [0], given: 389

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How many factors greater than 1 do 120, 210, and 270 have in [#permalink] New post 12 Aug 2018, 15:31
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00:00

Question Stats:

0% (00:00) correct 100% (01:19) wrong based on 4 sessions
How many factors greater than 1 do 120, 210, and 270 have in common?

(A) One
(B) Three
(C) Six
(D) Seven
(E) Thirty
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1625 [0], given: 389

CAT Tests
Re: How many factors greater than 1 do 120, 210, and 270 have in [#permalink] New post 15 Aug 2018, 05:14
Expert's post
Explanation

Pick one of the numbers and list all of its factors. The factors of 120 are: 1 & 120, 2 & 60, 3 & 40, 4 & 30, 5 & 24, 6 & 20, 8 & 15, 10 & 12. Since the problem specifically asks for factors “greater than 1,” eliminate 1 now. Now cross off any factors that do not go into 210:

Attachment:
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Now cross off any factors remaining that do not go into 270. Interestingly, all of the remaining factors (2, 3, 5, 6, 10, 15, 30) do go into 270. There are 7 shared factors.
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Sandy
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Re: How many factors greater than 1 do 120, 210, and 270 have in   [#permalink] 15 Aug 2018, 05:14
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How many factors greater than 1 do 120, 210, and 270 have in

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