Serena Williams sped past another milestone on Saturday en route to the US Open fourth round as men’s contenders Andy Murray and Stan Wawrinka clawed their way into the last 16.

World No 1 Williams dominated Sweden’s Johanna Larsson 6-2, 6-1 to surpass Martina Navratilova for most Grand Slam wins by a woman with 307.

Not only has she surpassed Navratilova, she matched Roger Federer’s mark for men.

“To be up there with both men and women is something that’s super-rare, and it actually feels good,” said Williams, who said she was “really excited” to reach 307.

“Obviously I want to keep that number going higher,” added Williams, who will get her chance when she takes on Kazakhstan’s Yaroslava Shvedova for a quarterfinal berth.

In the one hour it took to subdue Larsson, Williams again appeared untroubled by the shoulder injury that has slowed her since her Wimbledon triumph.

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“It definitely feels solid,” she said. “I’m doing a lot of work on it so I can keep it in this position.”

Williams, whose seven Grand Slam titles include US Open crowns in 2000 and 2001, next faces a tough meeting with 10th-seeded Karolina Pliskova.

The hard-hitting Czech, who shocked Angelique Kerber in the final of the US Open tune-up in Cincinnati, defeated Anastasia Pavlyuchenkova 6-2, 6-4.

While Williams encountered little resistance, it was another story for the top men’s seeds in action.

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