Council leader Gould acknowledged it was "a scary time" but vowed "to make sure that they stay safe".
Camden council leader Georgia Gould told Sky News Friday that a rest center has been set up and that hotels were being found for residents.
Safety officials in the United Kingdom have ordered the evacuation of 27 tower blocks because they failed fire checks carried out after the deadly Grenfell Tower blaze.
Ayda Auston, a 57-year-old from Turkey who bought her flat 22 years ago, said that she felt "lucky" that because her home is on the ground floor she hadn't been ordered to leave until Saturday.
.British Prime Minister Theresa May has tweeted that her thoughts are with hundreds of public housing residents who are being evacuated because of fire safety concerns.
Manchester, Camden, Plymouth, Hounslow, Portsmouth, Barnet and Brent were named as having buildings that had failed tests by Mr Javid. Officials first announced the evacuation of one building, then expanded it to five and later reduced it to four.
That fire at Grenfell Tower spread rapidly, turning the burning building into a giant torch and terrifying residents.
Camden Council said it made a decision to evacuate the buildings on the Chalcots Estate late Friday after fire inspectors reported that the blocks were "not safe for people to sleep in overnight".
Along with local councils, NHS Trusts have also been told to urgently check their buildings to establish whether they are clad in materials used on Grenfell Tower.
Flammable external cladding that is widely used to provide insulation and enhance the appearance of buildings has been identified as the culprit in the Grenfell disaster.
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Some expressed fears about the same tactic being used elsewhere as they aim to take back control of the House in next year's midterms.
But some residents of the Camden buildings, collectively known as Chalcots Estate, expressed frustration with the lack of information they received about the evacuations. To encourage cooperation with authorities, May said the government won't penalize any Grenfell fire survivors who were in the country illegally.
Chalcots resident Shirley Philips who raised her concerns to Ms Gould said she was given no notice before being told she must leave her home.
McCormack said all "complete bodies" had been removed from the burnt-out tower and there was "a awful reality that we may not find or identify everyone who died due to the intense heat".
"No official came and told us what's going on, I saw it on the TV so I packed an overnight bag", she told the Press Association.
Six people who sustained injuries in June 14 Grenfell Tower blaze remain in hospital, with two in critical condition. "If they say weeks, they mean months", he added.
The issue of fire brigade funding has been centre stage since the devastating fire in Kensington last week that claimed an estimated 79 lives. The Metropolitan Police said cladding attached to Grenfell during a recent renovation failed safety tests conducted by investigators.
Refurbishment of the Chalcots Estate was overseen by Rydon, the company involved in the refit of Grenfell Tower, according to the Rydon website.
The Government says tests are still being performed "around the clock", with landlords of at-risk buildings informing tenants and implementing interim safety measures. At least one hotel chain is calling in experts to make certain its properties meet safety regulations.
Pilgrim Tucker, a community organiser working with the Grenfell Action Group, said in a statement released by the Radical Housing Group: "It's beyond disgusting that after all these people have been through, losing their neighbours and watching their homes burn to the ground, authorities are prepared to tell them that they have hours to pick up their bags and move to some unknown destination..."
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