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If GCD of two numbers (both integers, greater than 1) is 1, then

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Senior Manager
Joined: 13 Jun 2013
Posts: 275
If GCD of two numbers (both integers, greater than 1) is 1, then  [#permalink]

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18 Nov 2014, 11:26
3
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:06) correct 27% (01:20) wrong based on 59 sessions

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If GCD of two numbers (both integers, greater than 1) is 1, then which of the following can be true?

1. They are prime.
2. They are consecutive.
3. They do not have a common prime factor
4. They do not have a common factor other than 1

A. Only 1
B. Only 2
C. Only 3 and 4
D. Only 2 and 3
E. 1, 2, 3 and 4
Manager
Joined: 18 Jul 2013
Posts: 74
Location: Italy
GMAT 1: 600 Q42 V31
GMAT 2: 700 Q48 V38
GPA: 3.75
Re: If GCD of two numbers (both integers, greater than 1) is 1, then  [#permalink]

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18 Nov 2014, 14:00
manpreetsingh86 wrote:
If GCD of two numbers (both integers, greater than 1) is 1, then which of the following can be true?

1. They are prime.
2. They are consecutive.
3. They do not have a common prime factor
4. They do not have a common factor other than 1

A. Only 1
B. Only 2
C. Only 3 and 4
D. Only 2 and 3
E. 1, 2, 3 and 4

"GCD of two numbers (both integers, greater than 1) is 1" means that they don't share other factors than 1.

we can take examples :

1. They are prime. ex 5 and 7
2. They are consecutive. ex : 4 and 5
3. They do not have a common prime factor ex 4 and 5
4. They do not have a common factor other than 1 this is told in the question
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Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1820
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If GCD of two numbers (both integers, greater than 1) is 1, then  [#permalink]

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19 Nov 2014, 00:41

Taking example of 2 & 3

1. They are prime.
2. They are consecutive.
3. They do not have a common prime factor
4. They do not have a common factor other than 1

All the above 4 points hold true for 2 & 3
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Re: If GCD of two numbers (both integers, greater than 1) is 1, then  [#permalink]

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04 Feb 2019, 18:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If GCD of two numbers (both integers, greater than 1) is 1, then   [#permalink] 04 Feb 2019, 18:25
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