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19 Sep 2025, 09:15
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
100% (00:47) correct
0% (00:00) wrong based on 5 sessions
History
Date
Time
Result
Not Attempted Yet
Quantity A
The greatest common factor of 84 and 700
Quantity B
The least common multiple of 6 and 15
The greatest common factor of 84 and 700
Quantity B
The least common multiple of 6 and 15
20 Sep 2025, 10:25
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(A) 84 = (2^2)*3*7
700 = (2^2)*(5^2)*7
GCF (84,700) = 4*7=28
(B) LCM (6,15)=3*2*5=30
B
700 = (2^2)*(5^2)*7
GCF (84,700) = 4*7=28
(B) LCM (6,15)=3*2*5=30
B
28 Sep 2025, 05:25
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Official Explanation
To find the greatest common factor (GCF) of 84 and 700, factor each into primes. A tree might help:
Looking at the prime numbers, those at the bottom of every branch, we see that 84 and 700 have 22 × 7 in common. Then the GCF, Quantity (A), is 22 × 7 = 28. The easiest way to find the least common multiple of 6 and 15 is to list multiples of the larger number until reaching one that is also a multiple of the smaller: 15, 30, 45. ... Notice that the second multiple of 15 is 30, which is also a multiple of 6, because 6 × 5 = 30. Since 30 > 28, (B) is greater.
Answer: B
GMAT-Club-Forum-d7e2u5zq.png [ 43.18 KiB | Viewed 191 times ]
To find the greatest common factor (GCF) of 84 and 700, factor each into primes. A tree might help:
Looking at the prime numbers, those at the bottom of every branch, we see that 84 and 700 have 22 × 7 in common. Then the GCF, Quantity (A), is 22 × 7 = 28. The easiest way to find the least common multiple of 6 and 15 is to list multiples of the larger number until reaching one that is also a multiple of the smaller: 15, 30, 45. ... Notice that the second multiple of 15 is 30, which is also a multiple of 6, because 6 × 5 = 30. Since 30 > 28, (B) is greater.
Answer: B
Attachment:
GMAT-Club-Forum-d7e2u5zq.png [ 43.18 KiB | Viewed 191 times ]
