Humans and which three types of apes are considered primates?

Answer 1

There are far more than just four species of primates... What you are probably thinking of is the family hominidae which includes; humans, gorillas, chimpanzees, and orangutans.

Here's a good link that shows all the different species of primates.

Answer 2

The great apes are chimpanzees, bonobos, mountain gorillas, lowland gorillas, orangoutans and humans and, until not too long ago, neanderthals. The lesser apes are the gibbons and siamangs. The primates include all of these plus all the baboons, monkeys, lemurs, lorises and bushbabies.