Cyril of Alexandria

And they bring Him to Annas, who was the father-in-law of Caiaphas, whence we may conclude that he was the prime mover and contriver of the iniquity against Christ, and that the traitor, when he received his hire, obtained from him the band to take Christ. He is, therefore, taken away to him first of all. For the Jews were bent on showing to us, that that was indeed truly spoken of them which the prophet put into their mouths: *Let us bind the righteous Man, for He is useless unto us.*

Commentary on the Gospel of John, Book 11 ↗

Theophylact of Ohrid

They bind Him and lead Him away to Annas, with a certain triumph on this occasion and boasting, as though they had won a great victory.

Commentary on John ↗

Augustine of Hippo

After that His persecutors had, through the treason of Judas, taken and bound the Lord, who loved us, and gave Himself for us, and whom the Father spared not, but gave Him up for us all: that we may understand that there was no praise due to Judas for the usefulness of his treachery, but damnation for the willfulness of his wickedness: "They led Him," as John the evangelist tells us, "to Annas first." Nor does he withhold the reason for so doing: "For he was father-in-law to Caiaphas, who was the high priest that same year. …

Tractates on John 113 ↗

Bede

In order that, while our Lord was condemned by his colleague, he might not be guiltless, though his crime was less. Or perhaps his house lay in the way, and they were obliged to pass by it. Or it was the design of Providence, that they who were allied in blood, should be associated in guilt. That Caiaphas however was high priest for that year sounds contrary to the law, which ordained that there be only one high priest, and made the office hereditary. But the pontificate had now been abandoned to ambitious men.

Catena Aurea by Aquinas ↗

Thomas Aquinas

2296 Two reasons can be given why Jesus was first brought to Annas. This could have been done by the order of Caiaphas, the high priest that year. Caiaphas did this because he would have had more of an excuse for condemning Jesus if Annas had already condemned him. The other reason was that they were nearer to the house of Annas, which was on their way. They were fearful that if the people became aroused Jesus might be taken away from them, and so they made straight for the house of Annas. …

Commentary on John ↗