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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: 266
If GCD of two numbers (both integers, greater than 1) is 1, then  [#permalink]

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18 Nov 2014, 12:26
4
00:00

Difficulty:

15% (low)

Question Stats:

74% (01:03) correct 26% (01:14) wrong based on 74 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: 73
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, 15:00
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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Posts: 1747
Location: India
Concentration: General Management, Technology
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Re: If GCD of two numbers (both integers, greater than 1) is 1, then  [#permalink]

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19 Nov 2014, 01:41

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, 19:25
Hello from the GMAT Club BumpBot!

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Re: If GCD of two numbers (both integers, greater than 1) is 1, then   [#permalink] 04 Feb 2019, 19:25
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