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Show that d|(ra + qb)

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Reference no: EM131026547

1. Let d; a; b; r, and q be integers.

a) Suppose that d|a and d|b. Show that d|(ra + qb).

b) Suppose a = qb + r. Show that the set of common divisors of a and b is the set of common divisors of b and r.

Reference no: EM131026547

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