Euclid’s lemma says that for all integers a, b, and c if gcd ( a , c ) = 1 and a | b c , then_______.

To fill in the blanks of the statement “Euclid’s lemma says that for all integers a ,  b  and  c if gcd(a  ,  c)=1 and a|bc, then ____ .”

Given:

The statement “Euclid’s lemma says that for all integers a ,  b  and  c if gcd(a  ,  c)=1 and a|bc, then ____ .”

Euclid’s lemma:

For all integers a ,  b  and  c if gcd(a