If gcd(a,b)=1 and gcd(a,c)=1 then prove that gcd(a,bc)=1.

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Number Theory
Division Algorithms
Divisors
Divisibility
Highest common factor
greatest common divisor
least common multiple
euclid's lemma
euclidean algorithms

If gcd(a,b)=1 and gcd(a,c)=1then prove that gcd(a,bc)=1.

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  1. Summation Guru
  2. gcd theorems
  3. gcd
  4. euclid's lemma
  5. euclidean algorithms
  6. division algorithms
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