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| ABCD's Of Greatest Divisor (Posted on 2009-09-24) |
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The greatest common divisor of five positive integers ABCD, 1920CD41, 496BC3, 872AB76 and 10A25D8 is ≥ 2, where each of A, B, C and D represents a different base 10 digit from 0 to 9.
Determine all possible quadruplet(s) (A, B, C, D) that satisfy the given conditions.
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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(A,B,C,D) =(8,5,2,4) is the only possible quadruplet that satisfies all the given conditions.
For an explanation, refer to the analytical solution submitted by Brian Smith in this location, and the computer program assisted solution submitted by Charlie in this location.
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