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Donald Trump's campaign for the Republican presidential nomination is building a momentum that may sweep away challenges by Florida Sen.

On Monday, The Texas senator ousted a senior aide who promoted an inaccurate news report that Mr Rubio had condemned the Bible during a chance encounter with Mr Cruz's father.

With victories now under his belt in the West, South and Northeast, a gleeful Trump is oozing even more confidence than usual that the GOP nomination is within reach.

Members of Congress have rushed to endorse Sen. Reps. Duncan Hunter of California and Chris Collins of NY praised Trump as a strong leader.

Appearing Wednesday on ABC's Good Morning America, Trump did say it was still "too early" to start talking about selection of a running mate.

"This is an unbelievable night", Mr Trump told cheering supporters in a victory speech after Tuesday's vote.

"It's going to be an incredible two months", he told a raucous crowd at a Las Vegas casino.

An unofficial delegate count after Iowa, New Hampshire, South Carolina and Nevada, compiled by The Associated Press, shows Mr. Trump with 81, followed by Mr. Cruz and Mr. Rubio with 17 each.

Cruz and Rubio are seeking to become the Trump alternative.

Republican presidential candidate Donald Trump smiles as he greets voters at a caucus site Tuesday Feb. 23 2016 in Las Vegas
Republican presidential candidate Donald Trump smiles as he greets voters at a caucus site Tuesday Feb. 23 2016 in Las Vegas

The race for the nomination in both major political parties has produced candidates who reflect a deepening anger among American voters with the nation's political establishment and the gridlock for much of the Obama administration. Ted Cruz, who's having a hard time expanding his coalition beyond very conservative voters.

After his second-place finish in the Iowa caucuses, the billionaire has swiped the floor with his rivals in New Hampshire, South Carolina and Nevada, enjoying double-digit margins.

After Nevada, the real test on where the presidential candidates stand will come on March 1, when 11 states go to the polls in what is known as "Super Tuesday".

In the Nevada Democratic Caucus on February 20, Hillary Clinton got 74 percent among voters 65 and older and 61 percent among those 45 to 64.

The remaining five Republican candidates will square off Thursday evening at the University of Houston, just five days before 13 states cast their ballots on Super Tuesday.

Nevada's caucusing played out in schools, community centers and places of worship across the state - a process that's been chaotic in the past. Clinton won the contest. The two men who will flank him on the stage - Ted Cruz and Marco Rubio - so far have been unable to step out of Trump's shadow. The other two candidates, Ohio Gov. John Kasich and neurosurgeon Ben Carson, were in the single digits.

Rubio, already campaigning in MI as Nevada results rolled in, was projecting confidence that he can consolidate the non-Trump voters, saying, "we have incredible room to grow".

Rubio and Cruz so far have shown little willingness to take on the former reality television star when the national spotlight shines brightest.