Cyrill of Alexandria
He then designated for them the remainder of the sacrifice and instructed them to partake of it, but specified that it should be done only in the sacred place and only by males. (See Leviticus 6:29, along with similar passages.) However, the oil, grain, wine, the redemption of the firstborn, and the burnt offerings are now allocated not solely for males or just in the holy place, but rather in the priestly residence, making them available for feasting by daughters and household members as well. This differentiation must be upheld: the leftovers from the sacrifices are fitting only for the use of the consecrated and should not be treated as ordinary food; their designated area is indeed a sanctified space.
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In contrast, the other offerings, which are presented as gifts, occupy a secondary status and may be shared among the entire household of the sacred, provided the individual consuming them is pure, meaning not defiled. According to the law, this includes not being uncircumcised, foreign, leprous, or suffering from emission; in alignment with the teachings of the New Testament and the Church's doctrine, it means being holy and faithful rather than unclean and untrustworthy. It is especially appropriate for those elevated to the divine priesthood to associate with individuals of virtuous character, possessing hearts filled with the love of God.