Find the counting number A, if GCF (A, 6) = 2 and LCM (A, 6) = 42

The value of A is 14.

Step-by-step explanation:

We have LCM of (A, 6) = 42

Assume A as 42/6 = 7

But we also have GCF (A, 6) = 2

7 cannot be divided by 2 so, value of A is not 7.

Assuming next value,

A = 42 x 2 / 6 = 14

We know that LCM of 14 and 6 is 42

GCF of 14 and 6 is 2.

The value of A is 14.