This is the 385th most frequent German word.
gemeinsamen
"Gemeinsamen" means "common" or "shared" in English.
In this sentence, 'gemeinsamen' is used as an adjective to describe 'Freund,' indicating that the friend is shared by both parties.
Wir haben einen gemeinsamen Freund.
We have a mutual friend.
Here, 'gemeinsamen' modifies 'Projekt,' signifying that the project is being undertaken together by multiple individuals.
Sie arbeiten an einem gemeinsamen Projekt.
They are working on a collaborative project.
In this example, 'gemeinsamen' describes 'Interessen,' showing the interests are common to those involved.