Was Jesus (a.s.) Taken to Annas or to Caiphas?

بِسۡمِ ٱللهِ ٱلرَّحۡمَـٰنِ ٱلرَّحِيمِ

The gospels contradict themselves on whether Jesus (a.s.) was taken to Annas, or Caiphas, the high priest. 

Matthew 26:57

⁵⁷ And those who had arrested Jesus led him away into the presence of the high priest, Caiphas, where the scribes and the elders had assembled. 

⁵⁷ Οἱ δὲ κρατήσαντες τὸν Ἰησοῦν ἀπήγαγον πρὸς Καϊάφαν τὸν ἀρχιερέα, ὅπου οἱ γραμματεῖς καὶ οἱ πρεσβύτεροι συνήχθησαν. 

⁵⁷ At illi tenentes Jesum, duxerunt ad Caipham principem sacerdotum, ubi scribæ et seniores convenerant. 

The Gospels according to Mark or Luke do not mention who Jesus (a.s.) was brought before. 

Mark 14:53

⁵³ So they took Jesus into the presence of the high priest, and all the chief priests and elders and scribes were assembled about him. 

⁵³ Καὶ ἀπήγαγον τὸν Ἰησοῦν πρὸς τὸν ἀρχιερέα, καὶ συνέρχονται πάντες οἱ ἀρχιερεῖς καὶ οἱ πρεσβύτεροι καὶ οἱ γραμματεῖς. 

⁵³ Et adduxerunt Jesum ad summum sacerdotem: et convenerunt omnes sacerdotes, et scribæ, et seniores. 

Luke 22:66

⁶⁶ When day came, all the elders of the people, chief priests and scribes, brought him before their council; “If thou art the Christ,” they said, “tell us.” 

⁶⁶ Καὶ ὡς ἐγένετο ἡμέρα, συνήχθη τὸ πρεσβυτέριον τοῦ λαοῦ, ἀρχιερεῖς τε καὶ γραμματεῖς, καὶ ἀπήγαγον αὐτὸν εἰς τὸ συνέδριον αὐτῶν … 

⁶⁶ Et ut factus est dies, convenerunt seniores plebis, et principes sacerdotum, et scribæ, et duxerunt illum in concilium suum, dicentes: Si tu es Christus, dic nobis. 

In contrast, the Gospel according to John claims Jesus (a.s.) was brought before a different person, Annas: 

John 18:13

¹³ They led him off, in the first instance, to Annas, father-in-law of Caiphas, who held the high priesthood in that year. 

¹³ καὶ ἤγαγον πρὸς Ἅνναν πρῶτον: ἦν γὰρ πενθερὸς τοῦ Καϊάφα, ὃς ἦν ἀρχιερεὺς τοῦ ἐνιαυτοῦ ἐκείνου: 

¹³ Et adduxerunt eum ad Annam primum: erat enim socer Caiphæ, qui erat pontifex anni illius.