Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 13:40 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If a, b, and c are positive integers, what is the greatest common divi

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 56277
If a, b, and c are positive integers, what is the greatest common divi  [#permalink]

### Show Tags

1
5 00:00

Difficulty: 45% (medium)

Question Stats: 63% (01:27) correct 37% (01:33) wrong based on 104 sessions

### HideShow timer Statistics If a, b, and c are positive integers, what is the greatest common divisor of a, b and c?

(1) The greatest common divisor of a and b is 3
(2) The greatest common divisor of b and c is 4

_________________
Math Expert V
Joined: 02 Aug 2009
Posts: 7764
Re: If a, b, and c are positive integers, what is the greatest common divi  [#permalink]

### Show Tags

1
1
If a, b, and c are positive integers, what is the greatest common divisor of a, b and c?

GCD means the largest number which has all three numbers a, b and c in its table.

(1) The greatest common divisor of a and b is 3
this means GCD of a, b and c can be only 3, but we don't know if 3 is a factor of c or not.
If yes, GCD is 3, otherwise it is 1.

Insufficient

(2) The greatest common divisor of b and c is 4
this means GCD of a, b and c can be only 4, but we don't know if 4 is a factor of a or not.
If yes, GCD is 4, otherwise it is 1.

Insufficient

Combined..
It can be only 1

C
_________________
##### General Discussion
Intern B
Joined: 19 Nov 2017
Posts: 12
Location: Singapore
Concentration: Technology, Entrepreneurship
GMAT 1: 590 Q45 V27 GPA: 3.44
WE: Engineering (Computer Software)
Re: If a, b, and c are positive integers, what is the greatest common divi  [#permalink]

### Show Tags

I got E.

Since by St#2 : b = 4x , c = 4y , not enough

And by St#1 : a = 3z , b = 3x , not enough

Combining ,in (c)
a= 3z
b = 3*4*x
c = 4*y

We cannot get common factor from here, hence (e)
Manager G
Joined: 02 Aug 2015
Posts: 153
If a, b, and c are positive integers, what is the greatest common divi  [#permalink]

### Show Tags

1
aru010 wrote:
I got E.

Since by St#2 : b = 4x , c = 4y , not enough

And by St#1 : a = 3z , b = 3x , not enough

Combining ,in (c)
a= 3z
b = 3*4*x
c = 4*y

We cannot get common factor from here, hence (e)

aru010

Cheers!
Math Expert V
Joined: 02 Sep 2009
Posts: 56277
Re: If a, b, and c are positive integers, what is the greatest common divi  [#permalink]

### Show Tags

Bunuel wrote:
If a, b, and c are positive integers, what is the greatest common divisor of a, b and c?

(1) The greatest common divisor of a and b is 3
(2) The greatest common divisor of b and c is 4

_________________ Re: If a, b, and c are positive integers, what is the greatest common divi   [#permalink] 24 Dec 2018, 01:16
Display posts from previous: Sort by

# If a, b, and c are positive integers, what is the greatest common divi
{"ft_lang_label":"__label__en","ft_lang_prob":0.89360726,"math_prob":0.7710766,"size":3332,"snap":"2019-26-2019-30","text_gpt3_token_len":1046,"char_repetition_ratio":0.17037259,"word_repetition_ratio":0.49775785,"special_character_ratio":0.3427371,"punctuation_ratio":0.15345268,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9651519,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-07-17T20:40:08Z\",\"WARC-Record-ID\":\"<urn:uuid:cc957889-45a1-4b99-9725-742ad70dfe9d>\",\"Content-Length\":\"830533\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:52642856-ba98-4805-afcc-663fd8989ee8>\",\"WARC-Concurrent-To\":\"<urn:uuid:c2fb6eb5-d8fa-4c77-a182-fd671e9367a8>\",\"WARC-IP-Address\":\"198.11.238.98\",\"WARC-Target-URI\":\"https://gmatclub.com/forum/if-a-b-and-c-are-positive-integers-what-is-the-greatest-common-divi-284808.html\",\"WARC-Payload-Digest\":\"sha1:LIGO2MNB2WI2NHYFRFY4N2HI5N5XQBYZ\",\"WARC-Block-Digest\":\"sha1:ELABJ5UJBPZBVICLIHPMAHAIQ4GZXAJB\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-30/CC-MAIN-2019-30_segments_1563195525402.30_warc_CC-MAIN-20190717201828-20190717223828-00255.warc.gz\"}"}