Gaj Wielki was formerly part of the German Empire. In the German Empire, the place was called Groß Hag.
The place is now called Gaj Wielki and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Groß-Gay | German Empire | Samter | before the Versailles Treaty |
| Gaj Wielki | Poland | Szamotuły | after the Versailles Treaty |
| Groß Hag | German Empire | Samter | 1939 |
| Gaj Wielki | Poland | Szamotuły | 1945 |
| Gaj Wielki | Poland | Poznań | 1992 |