To prove: That gcd ( a 1 a 2 ........ a n ) is an integral linear combination of a 1 , a 2 , ........ a n for all n ≥ 2 ; that is, prove that there exist integers s 1 , s 2 , ........ s n such that gcd ( a 1 a 2 ........ a n ) = s 1 a 1 + s 2 a 2 + ........ + s n a n .

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Chapter 5.1, Problem 22E

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To prove: That gcd(a1a2........an) is an integral linear combination of a1,a2,........an for all n≥2; that is, prove that there exist integers s1,s2,........sn such that gcd(a1a2........an)=s1a1+s2a2+........+snan.

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