Is there a way to create a shared document library between team sites?

Question

We have team sites for each department, one particular department requires shared resources for a particular document library.

e.g. Site A, B and C each have Library 1, but they see the same things inside.

What is the best approach to achieve this?

EDIT: Ideally, this would not require the user to navigate off their own site.

Answer 1

Create a new site, library share that with the Team A, B and C and add that library link to menu on each site. Alternatively you can have that library on Team A site and share that with the Team B and C and add link on the menu.