Abel, who won a bronze medal at the 2012 London Olympics, led the women's 3m springboard final nearly the entire way and sealed the win with a reverse 2-1/2 somersault pike to score a total 384.70 points.
Canada's Pamela Ware (326.00) won the silver and Mexico's Dolores Hernandez (323.10) took bronze.
Garcia, a silver medallist in London, delivered a forward 2-1/2 somersault with three twists to cap his performance and score a total 521.70 points.
Colombia's Victor Ortega (455.15) took the silver and Mexico's Jonathan Ruvalcabra (437.35) won bronze.
The two events are among a handful of disciplines in 10 sports at the July 10-26 Pan Am Games that offer athletes a chance to secure a spot in the Rio Olympics, which are scheduled for Aug. 5-21 next year.
(Reporting by Frank Pingue; Editing by Greg Stutchbury/Peter Rutherford)
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