Weak
graded by Al-Albani
Mishkat al-Masabih 428
وَعَنْ أَبِي هُرَيْرَةَ وَابْنِ مَسْعُودٍ وَابْنِ عُمَرَ عَنِ النَّبِيِّ صَلَّى اللَّهُ عَلَيْهِ وَسَلَّمَ قَالَ: «مَنْ تَوَضَّأَ وَذَكَرَ اسْمَ اللَّهِ فَإِنَّهُ يُطَهِّرُ جَسَدَهُ كُلَّهُ وَمَنْ تَوَضَّأَ وَلَمْ يَذْكُرِ اسْمَ الله لم يطهر إِلَّا مَوضِع الْوضُوء»
Abu Huraira, Ibn Mas'ud and Ibn ‘Umar reported the Prophet as saying, “He who performs ablution and mentions God’s name purifies his whole body, but he who performs ablution and does not mention God’s name is pure only where the ablution reached.”
Cited in Mishkat al-Masabih (No. 428).