ERIC THAYER / Reuters Donald Trump's falling behind Hillary Clinton in New Hampshire and Florida, according to a new set of polls.

Donald Trump is losing by 9 percentage points to rival Hillary Clinton in New Hampshire ― a state with a large percentage of white working-class voters who were expected to perhaps give the GOP presidential nominee a boost.

According to a new set of CBS News/YouGov battleground polls released Sunday, just 36 percent of New Hampshire’s likely general election voters support Trump, who swept the state’s Republican primary, while 45 percent back Clinton, who lost the state to Sen. Bernie Sanders (I-Vt.) by an astonishing 20 points in the Democratic primary.

Based on the CBS/YouGov results, Clinton is winning the state by an even greater margin than President Barack Obama did in 2012 when he beat his Republican opponent, Mitt Romney, by 6 points.

HuffPost Pollster, which aggregates publicly available polls, shows Trump trailing Clinton 34 percent to 40 percent.

New Hampshire holds only 4 electoral votes, but as polls show Trump behind in several critical battleground states, he increasingly can’t afford to lose the Granite State. Nate Silver’s FiveThirtyEight polls-only and polls-plus model projects that if Clinton wins New Hampshire, it could push her to victory, even if she loses in major swing states like Ohio and Florida.

CBS/YouGov finds that Trump is losing badly among women in the state, and his chances for recovery in that demographic appear slim. Just 29 percent of New Hampshire women polled say they support Trump, while 51 percent support Clinton. In addition, 91 percent of the state’s female respondents say they are unlikely to change their minds.

Trump holds just a 4-point edge over Clinton among male voters in New Hampshire.

The GOP nominee is also having more trouble uniting his party than his rival. Seventy-eight percent of New Hampshire Republicans support Trump, but 93 percent of New Hampshire Democrats support Clinton.

CBS/YouGov also shows Trump losing in Florida by 5 points to Clinton. He’s ahead in Georgia, but only by 4 points. Georgia usually votes Republican and has not previously been considered a battleground state. This year, it’s looking like it could be a toss-up and might expand Clinton’s path to victory.

According to HuffPost Pollster, Trump is 3 points behind Clinton in Florida and just 1 point ahead of her in Georgia.

CBS/YouGov surveyed 990 likely voters in New Hampshire, 1,194 in Florida, and 998 in Georgia online on August 10-12.

Editor’s note: Donald Trump regularly incites political violence and is a serial liar, rampant xenophobe, racist, misogynist and birther who has repeatedly pledged to ban all Muslims ― 1.6 billion members of an entire religion ― from entering the U.S.