Top seed and defending champion Novak Djokovic was kept apart from the other members of the 'Big Four'.
However, the Serb may have to beat third-seeded Stan Wawrinka, the man who defeated him in the French Open final earlier this month, in the semi-finals.
Djokovic begins his title defence against experienced German Philipp Kohlschreiber before a possible second-round clash with 2002 champion Lleyton Hewitt, who is playing in his last Wimbledon.
If the seedings work out, the last 16 would see Djokovic face Kevin Anderson of South Africa, US Open champion Marin Cilic against Kei Nishikori, Wawrinka facing David Goffin and Grigor Dimitrov taking on Milos Raonic.
Federer, the holder of 17 Grand Slam titles and the runner-up to Djokovic last year, starts his campaign against Bosnia's Damir Dzumhur, who he beat in the French Open third round.
Murray, seeded three and the 2013 champion, begins against Mikhail Kukushkin of Kazakhstan.
That's a clash which will invite more questions over women coaching men.
Murray has Amelie Mauresmo in his corner while Kukushkin is coached by his wife Anastasia.
Nadal, the 2008 and 2010 champion who is down at his lowest ranking for a decade, begins with a clash against Brazil's Thomaz Bellucci.
In the women's draw, five-time champion Serena Williams and 2004 winner Maria Sharapova were drawn to meet in the semi-finals.
Top seed and world number one Williams, who is bidding to hold all four majors at the same time for the second time in her career -- 'the Serena Slam' -- has a 17-2 record over Sharapova.
Serena starts against Russian world number 113, Margarita Gasparyan.
First up, Sharapova will take on British wild card Johanna Konta, who made the quarter-finals on grass in Eastbourne this week.
Second seed and defending champion Petra Kvitova would potentially meet Simona Halep in the semi-finals.
Kvitova, also champion in 2011, starts against Kiki Bertens of the Netherlands.
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