Matthew is written to persuade a Jewish audience that Jesus is the promised Messiah. For that reason, Matthew emphasizes Jesus's connection to Judaism and presents him as God's chosen, in the line of Abraham and Moses, but greater than either of these earlier figures who entered into covenant with God. Matthew reveals Jesus as a great sage, teacher, and healer, and as God's anointed one, but not as co-equal with God.
Mark, which is accepted as the earliest gospel written, is the shortest of the four and does not include any birth stories. It starts with the adult Jesus's ministries. It has more records of miracles and emphasizes, from Isaiah, Jesus's role as the suffering servant.
Luke is often seen as the social justice gospel that portrays Jesus as a person concerned with alleviating the sufferings of people in this life. Unlike Matthew, who spiritualizes the beatitudes, Luke's Jesus puts them in earthly terms. For instance, he says, "blessed are the poor," not the "poor in spirt," which is Matthew's version of the first beatitude. Luke is also written to a gentile, rather than Jewish, audience and emphasizes Jesus's divine nature.
The Jesus in the gospel of John is different in many ways from the Jesus of the other three gospels. Here, Jesus is fully divine and appears in human form. He is the logos of the universe, who existed before the creation of the earth. This Jesus reflects the Jesus experienced by a group of early believers who never met him and so emphasized his divinity.