Reflexive : (a,a)gcd of (a,a)=1 Which is not true for every a EZ. Symmetric: Take a=2,b=1gcd(2,1)=1 Also 2a=4≠b Now when a=1,b=2gcd(1,2)=1 Also now 2a=2=b Hence a=2b ⇒R is not Symmetric Transitive: Let a=14,b=19,c=21 gcd(a,b)=1 gcd(b,c)=1 gcd(a,c)=7 Hence not transitive R is neither symmetric nor transitive.