Suppose n is a natural number greater than 100. Alex and Jerry each compute the gcd(4n, 20n2 + 15) and get different answers. Alex's computation had 12 divisions and Jerry's has 19.  a) Can we conclude that Alex's calculation contains an error? b) Can we conclude that Jerry's calculation contains an error? c) Can we prove how many calculations are necessary? If so, how? (This one isn't actually part of the question, it's just me speculating.) Thanks in advance!

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.