The calculated distance (air line) between Gau-Algesheim and Karlsruhe is approximately 68 miles respectively 109 kilometers.
By car or train, the actual journey to Karlsruhe is certainly longer, as only the direct route (as the crow flies) between Gau-Algesheim and Karlsruhe has been calculated here.
Air line (approximately)
109 kilometers
59 nautical miles