Gaj was formerly part of the German Empire. In the German Empire, the place was called Buschen.
The place is now called Gaj and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Gaj | Russian Empire | Kolo | 1914 |
| Gaj | Poland | Koło | 1921 |
| Buschen | German Empire | Warthbrücken | 1939 |
| Gaj | Poland | Koło | 1945 |
| Gaj | Poland | Konin | 1992 |