Gave vs Granted - What's the difference?

As verbs the difference between gave and granted

is that gave is simple past of give while granted is past tense of grant.

As an adverb granted is

Used to concede a point, often before stating some contrasting information.

As a preposition granted is

used to mark the premise of a syllogistic argument

Granted that he has done nothing wrong, he should be set free.

Granted the lack of evidence, we can make no such conclusion.