Marco Rubio came second with 23.9 percent of the vote, while Ted Cruz finished third on 21.4 percent.
Other Republican candidates, Ben Carson and John Kasich, received 4.8 and 3.6 percent of the vote, respectively.
A Democratic caucus in Nevada, held on Saturday, saw former State Secretary Hillary Clinton win against her rival Sen. Bernie Sanders, with 52.6 against 47.3 percent of the vote.