Gajer was formerly part of the German Empire. In the German Empire, the place was called Gayer.
The place is now called Gajer and belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Gayer | Austro-Hungary | Leitomischl | before the Treaty of Saint-Germain |
| Gajer | Czechoslovakia | Litomyšl | after the Treaty of Saint-Germain |
| Gayer | Czechoslovakia | Litomyšl | after the Treaty of Saint-Germain |
| Gayer | German Empire | Zwittau | 1938 |
| Gajer | Czechoslovakia | Litomyšl | 1945 |
| Gajer | Czechoslovakia | Svitavy | 1992 |
| Gajer | Czech Republic | Svitavy | 1993 |