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# What is the highest common factor of three positive integers x,y,

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Joined: 26 Feb 2016
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What is the highest common factor of three positive integers x,y,  [#permalink]

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20 Oct 2017, 00:16
1
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Difficulty:

55% (hard)

Question Stats:

48% (01:05) correct 52% (00:47) wrong based on 41 sessions

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What is the highest common factor of three positive integers x,y, and z?

1. x=12,y=91
2. y=91,z=90

Source : Experts Global

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What is the highest common factor of three positive integers x,y,  [#permalink]

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Updated on: 20 Oct 2017, 04:54
1
pushpitkc wrote:
What is the highest common factor of three positive integers x,y, and z?

1. x=12,y=91
2. y=91,z=90

Source : Experts Global

Statement 1: $$x=2^2*3$$ & $$y=7*13$$. As $$1$$ is the only common factor between $$x$$ & $$y$$, so $$1$$ will be the Highest common factor among $$x$$, $$y$$ & $$z$$. Sufficient

Statement 2: $$y=7*13$$, $$z=2*3^2*5$$. As $$1$$ is the only common factor between $$y$$ & $$z$$, so $$1$$ will be the Highest common factor among $$x$$, $$y$$ & $$z$$. Sufficient

Option D

Originally posted by niks18 on 20 Oct 2017, 02:16.
Last edited by niks18 on 20 Oct 2017, 04:54, edited 1 time in total.
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Re: What is the highest common factor of three positive integers x,y,  [#permalink]

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20 Oct 2017, 02:27
How are u relating x y and z with first statement it has to be c? Please explain

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PS Forum Moderator
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What is the highest common factor of three positive integers x,y,  [#permalink]

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20 Oct 2017, 02:34
alphastallion wrote:
How are u relating x y and z with first statement it has to be c? Please explain

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Hi alphastallion

Take any example for z in statement 1. let z=4

x=12=2*2*3

y=91=7*13

z=4=2*2

So what is the highest common factor among the three x,y z?
if among three numbers two do not have any common factor, then the third will not have any impact on HCF
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Re: What is the highest common factor of three positive integers x,y,  [#permalink]

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20 Oct 2017, 08:06
If any 2 of the 3 numbers are coprimes then the common factor of all 3 is 1
OA: D

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Re: What is the highest common factor of three positive integers x,y, &nbs [#permalink] 20 Oct 2017, 08:06
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