@Band
You need to read more history sources.
New Advent Catholic Encyclopedia
Mark
From internal evidence we can conclude that the Gospel was written before A.D. 70, for there is no allusion to the destruction of the Temple of Jerusalem , such as might naturally be expected in view of the prediction in xiii, 2, if that event had already taken place. On the other hand, if xvi, 20: "But they going forth preached everywhere", be from St. Mark's pen, the Gospel cannot well have been written before the close of the first Apostolic journey of St. Paul (A.D. 49 or 50), for it is seen from Acts 14:26 and 15:3 , that only then had the conversion of the Gentiles begun on any large scale. Of course it is possible that previous to this the Apostles had preached far and wide among the dispersed Jews , but, on the whole, it seems more probable that the last verse of the Gospel , occurring in a work intended for European readers, cannot have been written before St. Paul's arrival in Europe (A.D. 50-51). Taking the external and internal evidence together, we may conclude that the date of the Gospel probably lies somewhere between A.D. 50 and 67.
Matthew
Now, following a certain tradition (admittedly not too reliable), the Apostles separated twelve years after the Ascension , hence the Gospel would have been written about the year 40-42, but following Eusebius ( Church History III.5.2 ), it is possible to fix the definitive departure of the Apostles about the year 60, in which event the writing of the Gospel would have taken place about the year 60-68. St Irenæus is somewhat more exact concerning the date of the First Gospel , as he says: "Matthew produced his Gospel when Peter and Paul were evangelizing and founding the Church of Rome , consequently about the years 64-67." However, this text presents difficulties of interpretation which render its meaning uncertain and prevent us from deducing any positive conclusion.
Luke & Acts
As regards the date of the Book of Acts , we may at most assign a probable date for the completion of the book. It is recognized by all that Acts ends abruptly. The author devotes but two verses to the two years which Paul spent at Rome . These two years were in a certain sense uneventful. Paul dwelt peaceably at Rome , and preached the kingdom of God to all who went in unto him. It seems probable that during this peaceful epoch St. Luke composed the Book of Acts and terminated it abruptly at the end of the two years, as some unrecorded vicissitude carried him out into other events. The date of the completion of Acts is therefore dependent on the date of St. Paul's Roman captivity . Writers are quite concordant in placing the date of Paul's coming to Rome in the year 62; hence the year 64 is the most probable date for the Acts . [Gospel Luke is earlier, Luke travels with Paul]