Central defender Boateng, who had recovered from an injury, connected perfectly with a clearance in the eighth minute to volley in from 25 metres for his first international goal as the world champions took control from the start.

The Germans, who next face either holders Spain or Italy, saw Mesut Ozil's weak 13th minute penalty saved but Gomez made no mistake two minutes from halftime when he tapped home a perfect cut back from the marauding Julian Draxler.

Draxler, slipping into the starting lineup for the lacklustre Mario Goetze, was then left with far too much space at the far post to volley in their third just past the hour as the Germans kept a fourth straight clean sheet at the finals.