Number Theory|if (c, b)=1 then (ac, b)=(a, b)

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Number Theory 19 - Theorem 2: If a|b and b|c, then a|c Number Theory 19 - Theorem 2: If a|b and b|c, then a|c
||Lecture#19||If gcd(a,b)=1 then gcd(ac,b)=gcd(c,b)||Number Theory||Prof.Latif Sajid ||Lecture#19||If gcd(a,b)=1 then gcd(ac,b)=gcd(c,b)||Number Theory||Prof.Latif Sajid
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 c|a, then gcd(b,c)=1 If gcd(a,b)=1 and c|a, then gcd(b,c)=1
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If a|b+c and gcd(b,c)=1, then gcd(a,b)=1=gcd(a,c). If a|b+c and gcd(b,c)=1, then gcd(a,b)=1=gcd(a,c).