It is currently 20 Apr 2018, 15:27

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The greatest common factor of two positive integers is X. The least co

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44588
The greatest common factor of two positive integers is X. The least co [#permalink]

### Show Tags

10 Jan 2016, 09:04
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:51) correct 11% (00:51) wrong based on 91 sessions

### HideShow timer Statistics

The greatest common factor of two positive integers is X. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other?

A. XY⁄Z
B. XZ + YZ
C. X⁄Z + Y
D. X + Y⁄Z
E. X + Z⁄Y
[Reveal] Spoiler: OA

_________________
Current Student
Joined: 02 Jun 2015
Posts: 63
Location: United States
Concentration: Strategy, Human Resources
WE: Engineering (Manufacturing)
Re: The greatest common factor of two positive integers is X. The least co [#permalink]

### Show Tags

10 Jan 2016, 09:35
Bunuel wrote:
The greatest common factor of two positive integers is X. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other?

A. XY⁄Z
B. XZ + YZ
C. X⁄Z + Y
D. X + Y⁄Z
E. X + Z⁄Y

Say other integer is W

Formula
GCF(W&Z)*LCM(W&Z) = W*Z

X*Y = W*Z
So W= XY/Z

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11492
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: The greatest common factor of two positive integers is X. The least co [#permalink]

### Show Tags

14 Jan 2016, 00:02
1
KUDOS
Expert's post
Hi All,

This question can be solved by TESTing VALUES. You just have to pay careful attention to what each variable represents (and the VALUE that you choose for each).

We're told that the greatest common factor of two positive integers is X and the least common multiple of these two integers is Y. We're then told that one of the integers is Z and we are asked to find the OTHER integer.

IF....
the two integers are 2 and 3,
then the GCF = 1 and LCM = 6
So...
X = 1
Y = 6
Z = 2

We're looking for an answer that equals 3.

A. XY⁄Z = 6/2 = 3 This is a MATCH
B. XZ + YZ = (1)(2) + (6)(2) = 10 NOT a match
C. X⁄Z + Y = 1/2 + 6 = 6.5 NOT a match
D. X + Y⁄Z = 1 + 6/2 = 4 NOT a match
E. X + Z⁄Y = 1 + 2/6 = 1 1/3 NOT a match

[Reveal] Spoiler:
A

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

SVP
Joined: 12 Sep 2015
Posts: 2280
Re: The greatest common factor of two positive integers is X. The least co [#permalink]

### Show Tags

23 Mar 2018, 07:31
Expert's post
Top Contributor
Bunuel wrote:
The greatest common factor of two positive integers is X. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other?

A. XY⁄Z
B. XZ + YZ
C. X⁄Z + Y
D. X + Y⁄Z
E. X + Z⁄Y

--------ASIDE----------------------
There's a nice rule that says:
(greatest common divisor of A and B)(least common multiple of A and B) = AB
Example: A = 10 and B = 15
Greatest common divisor of 10 and 15 = 5
Least common multiple of 10 and 15 = 30
Notice that these values satisfy the above rule, since (5)(30) = (10)(15)
--------BACK TO THE QUESTION! ----------------------

One of the two integers is Z
Let the other integer be Q.
So, our goal is to determine the value of Q

GIVEN:
The greatest common factor (divisor) of Z and Q is X.
The least common multiple of Z and Q is Y.

Take the formula: (greatest common divisor of A and B)(least common multiple of A and B) = AB
And plug in the given info to get: (X)(Y) = ZQ
In other words: XY = ZQ

Divide both sides by Z to get: XY/Z = Q

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Manager
Joined: 28 Jan 2018
Posts: 54
Location: Netherlands
Concentration: Finance
GMAT 1: 710 Q50 V36
GPA: 3
Re: The greatest common factor of two positive integers is X. The least co [#permalink]

### Show Tags

23 Mar 2018, 10:26
Bunuel wrote:
The greatest common factor of two positive integers is X. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other?

A. XY⁄Z
B. XZ + YZ
C. X⁄Z + Y
D. X + Y⁄Z
E. X + Z⁄Y

Key point to remember: The greatest common factor * least common multiple of integer A and B will equal A*B (only applicable to 2 integer)

Denote the other integer as k, we got $$X*Y = Z*k => k = \frac{(X*Y)}{Z}$$ (A)
Re: The greatest common factor of two positive integers is X. The least co   [#permalink] 23 Mar 2018, 10:26
Display posts from previous: Sort by

# The greatest common factor of two positive integers is X. The least co

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.