Brothers Jason Russell, 28, and Darren, 26, and their friend Daniel Hughes, 36, were trekking in a remote area when the quake struck.
Mr Hughes' sister, Joanne, said they arrived at Manchester Airport on Saturday and that they were very tired.
They had been rescued on Thursday after an earlier attempt to find them failed.
The were taken to a military base in Kathmandu to await their flight home.
The whereabouts of 1,000 EU citizens remain unknown and according to a Red Cross missing persons list posted online, 28 people from Britain and Ireland remain unaccounted for.
The death toll has risen to over 7,000 and the Nepalese authorities have ruled out finding more survivors.

So, if you've been inspired by the action in Texas, why not grab your mates and give it a go yourself?
Here former New York Giants team-mates Osi Umenyiora and Jason Bell, both of whom won the Super Bowl, give you their tips for starting your own game day.
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Check out our rookie's guide to learn the key rules, the player positions and the ultimate aim of the game.
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American football can be played at adult,university and junior levels.
It's a very welcoming, inclusive environment and athletes with a disability are welcome to play too, although there is no formal competition structure in the UK for adapted American football.
Clubs are always on the lookout for new members, with many able to provide taster sessions and full kit for practice and games. Why not check out our activity finder to find a session in your area?
Charlie Novak plays for the Manchester Titans - one of the growing number of women in a male-dominated sport. Here's the inspiring story of how she went from not playing sports to being defensive captain of her team.
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Meet eight-year-old Isaiah Bird, who was born with no legs and plays American football for his local team in New York.
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And if you are still looking for ways to get involved head to our guide where you can find all the help you need to start playing.

Four average 50mph enforcement cameras were installed in October on a two-mile stretch at Port Talbot and they went live on Monday.
But around 125-a-day have been caught in less than a week.
The cameras are the first to go into operation on a Welsh section of the M4, and during a pilot before Christmas around 700 drivers a day were caught.
However, Wales Road Casualty Reduction Partnership GoSafe welcomed the reduction in drivers caught compared with the trial period.
Partnership manager Chris Hume said: "There is a clear indication that there has been a decrease in the numbers of people exceeding the limit.
"Excessive and inappropriate speed remains a factor in collisions and associated fatalities and serious injuries on our roads in Wales.
"Our main priority is to continue to educate motorists about the effect of inappropriate speed with enforcement being the last resort after engineering solutions are considered."
Three Wrexham backpackers left stranded in Nepal following the earthquake have returned home, according to the sister of one of the men.
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On Sunday, the New England Patriots staged a stunning comeback to beat the Atlanta Falcons 34-28 in the 51st Super Bowl.
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More than 500 speeding drivers have been caught by new cameras on the M4 in just five days.