Answer to Question #33894 in Combinatorics | Number Theory for eka

Question #33894

Let a, b, c be any three integers. Define gcd(a, b, c), the gcd od a, b, c as a positive integer d such that
(i) d|a, d|b, d|c and
(ii) if f|a, f|b, f|c then f|c
prove that gcd(a, b, c) =gcd(a, (b,c)) =gcd ((a,b),c) = gcd ((a,c),b)

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