The Prophet (ﷺ) appointed a sixth to a grandmother if no mother is left to inherit before her.
Sunan Abi Dawud Book 19, Hadith 11
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A grandmother came to AbuBakr asking him for her share of inheritance. He said: There is nothing prescribed for you in Allah's Book, nor do I know anything for you in the Sunnah of the Prophet of Allah (ﷺ) Go home till I question the people. He then questioned the people, and al-Mughirah ibn Shu'bah said: I had been present with the Messenger of Allah (ﷺ) when he gave grandmother a sixth. AbuBakr said: Is there anyone with you? Muhammad ibn Maslamah stood and said the same as al-Mughirah ibn Shu'bah had said. So AbuBakr made it apply to her. Another grandmother came to Umar ibn al-Khattab asking him for her share of inheritance. He said: Nothing has been prescribed for you in Allah's Book. The decision made before you was made for a grandmother other than you. I am not going to add in the shares of inheritance; but it is that sixth. If there are two of you, it is shared between you, but whichever of you is the only one left gets it all.
Sunan Abi Dawud Book 19, Hadith 10 Next Hadith → A man came to the Prophet (ﷺ) and said: My son has died; what do I receive from his estate? He replied: You receive a sixth. When he turned away he called him and said: You receive another sixth. When he turned away, he called him and said: The other sixth is an allowance (beyond what is due).
Qatadah said: They (the Companions) did not know the heirs with whom he was given (a sixth). Qatadah said: The minimum share given to the grandfather was a sixth.
Sunan Abi Dawud Book 19, Hadith 12
Sunan Abi Dawud Book 19, Hadith 10 Next Hadith → A man came to the Prophet (ﷺ) and said: My son has died; what do I receive from his estate? He replied: You receive a sixth. When he turned away he called him and said: You receive another sixth. When he turned away, he called him and said: The other sixth is an allowance (beyond what is due).
Qatadah said: They (the Companions) did not know the heirs with whom he was given (a sixth). Qatadah said: The minimum share given to the grandfather was a sixth.
Sunan Abi Dawud Book 19, Hadith 12