The 24-year-old Machado will get $11.5 million. He made $5.05 million last season when he set career highs with 37 home runs, 96 RBI and a .294 batting average. He had 114 starts at third base and 43 at shortstop.
The 29-year-old Britton will get $11.4 million. He made $6.9 million last season when he went 47 for 47 in save opportunities, had a 0.54 ERA and finished fourth in Cy Young voting.
Machado and Britton are eligible for free agency after the 2018 season.
Tillman started on opening day and was the right-hander was ace of the Orioles' staff, going 16-6.
Schoop, 25, was sharp in the field and played in all 162 games in 2016. He reached career highs in doubles (38), home runs (25) and RBI (82).
Three Orioles exchanged figures with the team and are headed toward hearings next month barring agreements: right-handers Kevin Gausman ($3.55 million vs. $3.15 million) and Brad Brach ($3.05 million vs. $2,525,000) and catcher Caleb Joseph ($1 million vs. $700,000).