Question: Question 1. (5 marks) Let a, b = Z+, let c = ab gcd(a,b) Show that: (a) a | c and b | c;

Question 1. (5 marks) Let a, b = Z+, let c =

Question 1. (5 marks) Let a, b = Z+, let c = ab gcd(a,b) Show that: (a) a | c and b | c; (b) If a | d and b | d, then c | d; (c) c = min{d EZ+: ad Ab|d}. (We use ":" for "such that" here to avoid confusing with the divisibility symbol "|".)

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