GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The greatest common factor of 84 and 700
[#permalink]
18 Mar 2021, 02:52
18 Mar 2021, 02:52
Expert Reply
00:00
Question Stats:
89% (01:15) correct
10% (01:14) wrong based on 48 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
The greatest common factor of 84 and 700 |
The least common multiple of 6 and 15 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: The greatest common factor of 84 and 700
[#permalink]
18 Mar 2021, 06:50
18 Mar 2021, 06:50
Carcass wrote:
Quantity A |
Quantity B |
The greatest common factor of 84 and 700 |
The least common multiple of 6 and 15 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
\(84 = (2^2)(3)(7)\)
\(700 = (2^2)(5^2)(7)\)
HCF of \(84\) and \(700\) = \((2^2)(7) = 28\)
\(6 = (2)(3)\)
\(15 = (3)(5)\)
LCM of \(6\) and \(15\) = \((2)(3)(5) = 30\)
Col. A: \(28\)
Col. B: \(30\)
Hence, option B
Re: The greatest common factor of 84 and 700
[#permalink]
24 Mar 2021, 04:52
24 Mar 2021, 04:52
For HCF calculation, we can use prime factorization,
\(84 = (2^2)(3)(7)\)
\(700 = (2^2)(5^2)(7)\)
Out of the common factors, the highest one is = \((2^2)(7) = 28\)
LCM of \(6\) and \(15\) = \((2)(3)(5) = 30\)
LCM> HCF
Option B is correct
\(84 = (2^2)(3)(7)\)
\(700 = (2^2)(5^2)(7)\)
Out of the common factors, the highest one is = \((2^2)(7) = 28\)
LCM of \(6\) and \(15\) = \((2)(3)(5) = 30\)
LCM> HCF
Option B is correct
