From Frankfurt(Main)Süd train to Gotha. 2hrs 05min 52€. From Frankfurt central train station bus to Gotha bus station. 3hrs 30min 20€. From Frankfurt am Main drive to Gotha. 2hrs 07min 40€. From Frankfurt(M)Hauptwache train to Frankfurt airport, fly to Leipzig airport, train to Halle(Saale)Hbf, then train to Gotha. 4hrs 54min 126€.