Ononot — A sequence of Euclidean algorithm quotients is: q1 = 2, q2 =

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GCD & LCMhard

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A sequence of Euclidean algorithm quotients is: $q_1 = 2, q_2 = 3, q_1 = 1, q_4 = 2$ . Which pair $(a, b)$ with $a > b$ produces this exact sequence?