If gcd(a1,b) = gcd(a2,b) = ... = gcd(an, b) = 1, then gcd(a1a2...an, b) = ??

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1. If gcd(a1,b) = gcd(a2,b) = ... = gcd(an, b) = 1, then gcd(a1a2...an, b) = ??