"For the two Eid and the Friday prayer, the Prophet would recite: Glorify the Name of your Lord, the Most High, and Has there come to you the narration of the overwhelming? And sometimes they would occur on he same day, so he would recite the two of them."  

كَانَ النَّبِيُّ ﷺ يَقْرَأُ فِي الْعِيدَيْنِ وَفِي الْجُمُعَةِ بِ ( سَبِّحِ اسْمَ رَبِّكَ الأَعْلَى ) وَ (هَلْ أَتَاكَ حَدِيثُ الْغَاشِيَةِ ) وَرُبَّمَا اجْتَمَعَا فِي يَوْمٍ وَاحِدٍ فَيَقْرَأُ بِهِمَا قَالَ وَفِي الْبَابِ عَنْ أَبِي وَاقِدٍ وَسَمُرَةَ بْنِ جُنْدَبٍ وَابْنِ عَبَّاسٍ  

"Umar bin Al-Khattab asked Abu Waqid Al-Laithi what Messenger of Allah would recite during Al-Fitr and Al-Adha, so he said: 'He would recite: Qaf, By the Glorious Quran and the Hour has drawn near, and the moon has been cleft asunder.'"  

أَنَّ عُمَرَ بْنَ الْخَطَّابِ سَأَلَ أَبَا وَاقِدٍ اللَّيْثِيَّ مَا كَانَ رَسُولُ اللَّهِ ﷺ يَقْرَأُ بِهِ فِي الْفِطْرِ وَالأَضْحَى قَالَ كَانَ يَقْرَأُ ب(ق والقرآنِ الْمَجِيدِ ) (اقْتَرَبَتِ السَّاعَةُ وَانْشَقَّ الْقَمَرُ )  

There is a another chain with similar narration.