The calculated distance (air line) between Gasteiz / Vitoria and Las Rozas de Madrid is approximately 174 miles respectively 280 kilometers.
By car or train, the actual journey to Las Rozas de Madrid is certainly longer, as only the direct route (as the crow flies) between Gasteiz / Vitoria and Las Rozas de Madrid has been calculated here.
Air line (approximately)
280 kilometers
151 nautical miles