There are 3 train companies operating 4 routes - TGV Lyria, IC, ICN 5, IC 7. The cheapest train costs $48 and is 4h 32min.
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There are 4 ways to travel from MLH to GVA. 2 flights, 3 trains, 3 buses and 1 by car are possible between the two areas. The by car from MLH to GVA is the cheapest. The by car from MLH to GVA is the fastest. The train operated by running from Basel to Ferney Lycée is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!