The champions thrashed Chelsea 6-0 to return to the summit of the English Premier League table.
Sergio Aguero starred for the hosts, netting his eleventh hat-trick to equal Alan Shearer's league record.
Meanwhile, Tottenham have also kept themselves in contention.
Mauricio Pochettino's side defeated Leicester 3-1 at Wembley to remain five points behind Liverpool and Manchester City.
Real Madrid knock out holders Man City in Champions League shootout
Antonio Ruediger scored the decisive penalty as Real Madrid beat holders Manchester City in an edge-of-your-seat 4-3 shootout victory to reach the semi-finals of the Champions League after the teams were locked at 4-4 on aggregate following extra time on Wednesday.
Kimmich heads Bayern Munich past Arsenal and into semi-finals
Bayern Munich's Joshua Kimmich powered in a 63rd-minute header to give them a 1-0 victory over a toothless Arsenal on Wednesday and send them through to the Champions League semi-finals for the first time in four years with a 3-2 aggregate win.
Nadal makes winning return in Barcelona
Rafael Nadal said it was a challenge to hold himself back on his return to the ATP Tour after three months on the sidelines but the fiercely-competitive Spaniard expects to continue with the controlled approach in Barcelona.
Mbappe scores twice as PSG beat 10-man Barca to reach semi-finals
Paris St Germain's Kylian Mbappe scored twice in the second half to help his side to a 4-1 comeback win at 10-man Barcelona in their Champions League quarter-final, second leg to wrap up a 6-4 aggregate victory on Tuesday.
Rory McIlroy rejects rumors of $850M move to LIV Golf
Rory McIlroy denied a published report Tuesday linking him to an $850 million move to LIV Golf, saying he plans to remain with the PGA Tour "the rest of my career."
