THEORAM: If a|c , b|c and gcd(a,b) =1 then ab|c

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24.Theorem 24: If (a,b)=(a,c)=1, then (a,bc)=1 if a/c , b/c and (a,b)=1, then ab/c 24.Theorem 24: If (a,b)=(a,c)=1, then (a,bc)=1 if a/c , b/c and (a,b)=1, then ab/c
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If gcd(a,b)=1 and gcd(a,c)=1, then gcd(a,bc)=1. If gcd(a,b)=1 and gcd(a,c)=1, then gcd(a,bc)=1.