Let B be the set of positive integer divisors of 210, and define , , and macr for B by x y lcm(x, y), x y xy gcd(x, y), and 210 x Determine each of the following (a) 30 5 7 (b) (30 5) (30 7) (d) 21(2 ) (e) (2 3) 5 (f) (6 35)(7 10) (14 15)

Question: Let B be the set of positive integer divisors of 210, and define +, , and ¯ for B by x + y = lcm(x,

Let B be the set of positive integer divisors of 210, and define +, ˆ™, and ¯ for B by x + y = lcm(x, y), x ˆ™ y = xy = gcd(x, y), and = 210/x. Determine each of the following:
(a) 30 + 5 ˆ™ 7
(b) (30 + 5) ˆ™ (30 + 7)

(d) 21(2 + )
(e) (2 + 3) + 5
(f) (6 + 35)(7 + 10)

(14 + 15)

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