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MathNet 2004 — Part 02 Question 90

Math Olympiad Vault · MathNet 2004 — Part 02

Question 90

All $a, b, c, d$ Non-zero natural numbers such that the number of pairs $(x, y), x, y \in (0,1)$, with the property that $a x + b y$ şi $c x + d y$ are whole, is equal to $2004$. . If $\operatorname{cmmdc}(a, c) = 6$, find out $\operatorname{cmmdc}(b, d)$.