Verified Answer :

Find the prime factorization of each value.

21 is 73

30 is 3
10 which can be further broken down into 325

44 is 411 which can be further broken down into 22*11

What do they share in common?
21 and 30 each have a 3 in common.
Therefore the GCF(21, 30) = 3.

21 and 44 share a 2 in common.
But if we're looking at all three of them together, they share nothing in common.