If a divides c and b divides c with gcd(a,b)=1 then ab will divide c

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If gcd(a,b)=1, d|ac, and d|bc, then d|c.If gcd(a,b)=1, d|ac, and d|bc, then d|c.
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Proof of Division Transitivity Theorem | If a divides b and b divides c, then a also divides cProof of Division Transitivity Theorem | If a divides b and b divides c, then a also divides c
||Lecture#15||If a|c and b|c with gcd(a,b)=1 then ab|c||Prof.Latif Sajid||Number Theory||||Lecture#15||If a|c and b|c with gcd(a,b)=1 then ab|c||Prof.Latif Sajid||Number Theory||
If gcd(a,b)=1 and c|(a+b), then gcd(a,c)=gcd(b,c)=1If gcd(a,b)=1 and c|(a+b), then gcd(a,c)=gcd(b,c)=1