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The greatest common factor of 84 and 700
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18 Mar 2021, 02:52
18 Mar 2021, 02:52
Expert Reply
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Question Stats:
88% (01:15) correct
11% (01:14) wrong based on 43 sessions
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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
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Re: The greatest common factor of 84 and 700
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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
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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
