If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 16:15

### 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

# If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the

Author Message
TAGS:

### Hide Tags

Intern
Joined: 27 Feb 2012
Posts: 37
Followers: 1

Kudos [?]: 21 [0], given: 5

If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the [#permalink]

### Show Tags

18 May 2012, 16:36
1
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

70% (01:35) correct 30% (01:01) wrong based on 150 sessions

### HideShow timer Statistics

If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s?

A. 2 * 5
B. 2^2 * 5
C. 2^3 * 5^2
D. 2*3*5*7
E. 2^3 * 3^2 *5^2 * 7
[Reveal] Spoiler: OA
VP
Joined: 24 Jul 2011
Posts: 1126
GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Followers: 124

Kudos [?]: 540 [0], given: 19

Re: If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the [#permalink]

### Show Tags

18 May 2012, 16:42
GCD = product of prime factors raised to the least power =2^2 x 5

Option B
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

Math Expert
Joined: 02 Sep 2009
Posts: 36540
Followers: 7072

Kudos [?]: 93032 [0], given: 10541

Re: If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the [#permalink]

### Show Tags

18 May 2012, 16:45
jsphcal wrote:
If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s?

A. 2 * 5
B. 2^2 * 5
C. 2^3 * 5^2
D. 2*3*5*7
E. 2^3 * 3^2 *5^2 * 7

To find the greatest common divisor of two positive integers multiply the common factors of these integers by picking the lowest power of the common factors.

So, the GCD of r=2^3*5^2*7 and s=2^2*3^2*5 is 2^2*5.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13430
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the [#permalink]

### Show Tags

29 Nov 2016, 00:50
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Intern
Joined: 24 Apr 2016
Posts: 4
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the [#permalink]

### Show Tags

29 Nov 2016, 03:32
B) 2^2*5

Sent from my ONE A2003 using GMAT Club Forum mobile app
Math Forum Moderator
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 2301
Location: India
GPA: 3.5
Followers: 92

Kudos [?]: 633 [0], given: 317

Re: If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the [#permalink]

### Show Tags

29 Nov 2016, 08:29
jsphcal wrote:
If $$r = 2^3 * 5^2 * 7$$ and $$s = 2^2 * 3^2 * 5$$, which of the following is equal to the greatest common divisor of r and s?

A. 2 * 5
B. 2^2 * 5
C. 2^3 * 5^2
D. 2*3*5*7
E. 2^3 * 3^2 *5^2 * 7

GCD of $$r = 2^3 * 5^2 * 7$$ and $$s = 2^2 * 3^2 * 5$$ $$= 2^2*5$$

Hence, answer will be straight , (B) $$2^2 * 5$$
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Director
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 506
Location: United States (CA)
Followers: 19

Kudos [?]: 181 [0], given: 2

Re: If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the [#permalink]

### Show Tags

02 Dec 2016, 09:32
jsphcal wrote:
If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s?

A. 2 * 5
B. 2^2 * 5
C. 2^3 * 5^2
D. 2*3*5*7
E. 2^3 * 3^2 *5^2 * 7

To determine the greatest common divisor (or greatest common factor) of any two numbers, we multiply together common prime factors with the smaller exponent. We are given the following:

r = 2^3 * 5^2 * 7

AND

s = 2^2 * 3^2 * 5^1

As we can see, 2 and 5 are the common prime factors. For the prime factor 2, the smaller exponent is 2 and for 5, the smaller exponent is 1. Thus, the GCF of r and s is 2^2 x 5^1.

_________________

Jeffrey Miller
Scott Woodbury-Stewart
Founder and CEO

Re: If r = 2^3 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the   [#permalink] 02 Dec 2016, 09:32
Similar topics Replies Last post
Similar
Topics:
9 If a number is selected from the factors of 3^{3} 5^{2} 7^{2} 4 06 Oct 2016, 09:24
1 P = {22, 24, 26, 28, 30, 32} Q = {2, 24, 25, 26, 27, 28} R = {4, 7, 4 20 Sep 2016, 07:50
58 2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = ? 13 13 Aug 2010, 09:15
6 2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = ? A. 2^9 5 22 Aug 2009, 10:05
11 2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = ? 7 26 Dec 2008, 11:46
Display posts from previous: Sort by