  We prove three more general supercongruences between truncated hypergeometric
series and $p$-adic Gamma function from which some known supercongruences
follow. A supercongruence conjectured by Rodriguez-Villegas and proved by E.
Mortenson using the theory of finite field hypergeometric series follows from
one of our more general supercongruences. We also prove a supercongruence for
${_7}F_6$ truncated hypergeometric series which is similar to a supercongruence
proved by L. Long and R. Ramakrishna.
