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

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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]

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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
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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]

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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]

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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]

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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
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# If a, b, and c are positive integers, what is the greatest common divi  