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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) is different from 1, ab may or may not divide c but if gcd(a,b)=1 ab will always divide c. But with ab dividing c with a dividing c and b dividing c does not imply gcd (a,b)=1. 20 divides 100 awith 2 divides 100 and also 10 divides 100 but gcd(2,10)=2
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