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01 Jul 2022, 04:15
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Difficulty:
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68% (02:53) correct
32%
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What is the greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case?
(A) 64
(B) 124
(C) 156
(D) 260
(E) 312
(A) 64
(B) 124
(C) 156
(D) 260
(E) 312
01 Jul 2022, 08:52
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Back solving where you need to do fast calculations.
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01 Jul 2022, 11:37
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Bunuel
What is the greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case?
(A) 64
(B) 124
(C) 156
(D) 260
(E) 312
(A) 64
(B) 124
(C) 156
(D) 260
(E) 312
We need the greatest common factor of 1344, 1856, and 2752.
1344: 2^6*3*7
1856: 2^6*29
2764: 2^6*43
GCF is 2^6 = 64
Answer choice A.
