Contradiction with John 18:1
In John 18:1, after speaking to His disciples, Jesus goes over the brook Cedron to the garden, which seems to imply a different location or setting than in Luke 22:39, where He goes to the Mount of Olives.
John 18:1: When Jesus had spoken these words, he went forth with his disciples over the brook Cedron, where was a garden, into the which he entered, and his disciples.
Contradiction with Matthew 26:36
Matthew 26:36 refers to Jesus going to a place called Gethsemane with His disciples, rather than specifically mentioning the Mount of Olives as in Luke 22:39.
Matthew 26:36: Then cometh Jesus with them unto a place called Gethsemane, and saith unto the disciples, Sit ye here, while I go and pray yonder.
Contradiction with Mark 14:32
Mark 14:32 states that Jesus and His disciples went to a place named Gethsemane, which contrasts with the specific mention of the Mount of Olives in Luke 22:39.
Mark 14:32: And they came to a place which was named Gethsemane: and he saith to his disciples, Sit ye here, while I shall pray.