What is the difference between gemeinsam and zusammen ?Feel free to just provide example sentences.

There‘s no difference when saying

„Wollen wir das zusammen/gemeinsam machen“
You can use both then although „zusammen“ might be more common.

When saying two people are together as a couple then you can only use „zusammen“

Sie sind zusammen = They are a couple

When saying you have the same friends or sth similar then you can only use „gemeinsam“

Wir haben gemeinsame Interessen/Freunde/Talente ... =we have the same interests....


All in all I‘d say that whenever you would use the word „together“ use „zusammen“
Whenever you‘d use the world „similiar/equal/common use „gemeinsam“

In the context of doing sth together you can use both zusammen and gemeinsam