Real Dictionary

compatible
adjective: If one make of computer or computer equipment is compatible with another make, especially IBM, they can be used together and can use the same software.
adjective: If things, for example systems, ideas, and beliefs, are compatible, they work well together or can exist together successfully.
adjective: If you say that you are compatible with someone, you mean that you have a good relationship with them because you have similar opinions and interests.

compatible in American English
capable of living together harmoniously or getting along well together (with)
adjective: capable of existing or living together in harmony
noun: something, as a machine or piece of electronic equipment, that is designed to perform the same tasks as another, often in the same way and using virtually identical parts, programmed instructions, etc.

compatible in British English
adjective: able to exist together harmoniously