  We establish some supercongruences for the truncated ${}_2F_1$ and ${}_3F_2$
hypergeometric series involving the $p$-adic Gamma functions. Some of these
results extend the four Rodriguez-Villegas supercongruences on the truncated
${}_3F_2$ hypergeometric series. The corresponding conjectural supercongruences
modulo $p^3$ are also proposed for further research.
