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

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

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New post 18 Nov 2014, 12:26
4
00:00
A
B
C
D
E

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

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

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New post 19 Nov 2014, 01:41
Answer = E

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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New post 04 Feb 2019, 19:25
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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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