I am really struddling to understand these types of questions. Please can someone walkthough it with me.

The Question is

On the set N, define a relation ~ by stipulating that a ~ b if

hcf(a,b) = 1 (where a; b 2 belong to N). Decide if this relation is (a) reflexive, (b) symmetric and

(c) transitive, in each case giving either a proof or a counterexample, as appropriate.

Any help would be great thanks