of an extent, amount, or intensity considerably above average
the article was of great interest
she showed great potential as an actor
a great crowd thronged the marketplace
of ability, quality, or eminence considerably above average
the great Italian conductor
great art has the power to change lives
used before a noun to emphasize a particular description of someone or something
I was a great fan of Hank's
her great friend Joe
(in names of family relationships) denoting one degree further removed upwards or downwards
great-aunt
great-great-grandfather
(of two people) on very close or intimate terms
one of the boys was very great with her