Reading the New Testament side by side, one can pick up inconsistencies in the Gospels by various Disciples. For example, some of them mentioned by this website:
MT 1:6-7 The lineage of Jesus is traced through David's son, Solomon.
LK 3:23-31 It is traced through David's son, Nathan.
MT 1:16 Jacob was Joseph's father.
LK 3:23 Heli was Joseph's father.
MT 1:17 There were twenty-eight generations from David to Jesus.
LK 3:23-38 There were forty-three.
MT 1:18-21 The Annunciation occurred after Mary had conceived Jesus.
LK 1:26-31 It occurred before conception.
MT 1:20 The angel spoke to Joseph.
LK 1:28 The angel spoke to Mary.
MT 26:18-20, 57-68, 27:1-2, MK 14:16-18, 53-72, 15:1 Jesus' initial hearing was at night on Passover. In the morning he was taken to Pilate.
LK 22:13-15, 54-66 The initial hearing took place in the morning on Passover.
JN 18:28, 19:14 It took place the day before Passover, on the Day of Preparation.
MT 28:1 The first visitors to the tomb were Mary Magdalene and the other Mary (two).
MK 16:1 Both of the above plus Salome (three).
LK 23:55 - 24:1, 24:10 Mary Magdalene, Joanna, Mary the mother of James, and "other women" (at least five).
JN 20:1 Mary Magdalene only (one).
MT 28:1 It was toward dawn when they arrived.
MK 16:2 It was after sunrise.
LK 24:1 It was at early dawn.
JN 20:1 It was still dark.
MT 28:1-2 The stone was still in place when they arrived. It was rolled away later.
MK 16:4, LK 24:2, JN 20:1 The stone had already been rolled (or taken) away.
MT 28:2 An angel arrived during an earthquake, rolled back the stone, then sat on it (outside the tomb).
MK 16:5 No earthquake, only one young man sitting inside the tomb.
LK 24:2-4 No earthquake. Two men suddenly appear standing inside the tomb.
JN 20:12 No earthquake. Two angels are sitting inside the tomb.
MT 28:8 The visitors ran to tell the disciples.
MK 16:8 They said nothing to anyone.
LK 24:9 They told the eleven and all the rest.
JN 20:10-11 The disciples returned home. Mary remained outside, weeping.
Why do such inconsistencies occur, given that some people claim Biblical inerrancy, and how do various Christian theologians from the major denominations account for them?