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For two natural numbers m and n, let g(m...

For two natural numbers m and n, let `g_(m n)` denote the greatest common factor of m and n. Consider the following in respect of three natural numbers k, m and n :
1. `g_(m(n k)) = g_(m n)k`
2. `g_(mn)g_(n k) = g_(m k)`
Which of the above is/are correct ?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

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