Charles Ellicott Commentary Leviticus 2:3

"and that which is left of the meal-offering shall be Aaron`s and his sons`: it is a thing most holy of the offerings of Jehovah made by fire." — Leviticus 2:3 (ASV)

And the remnant. —With the exception of the memorial or the handful of flour and oil, and of all the frankincense, this meat offering belonged to the priests, who divided it among them, and who alone were to consume it in the court of the sanctuary.

A thing most holy. —The offerings consisted of two classes, less holy and most holy. The thank offerings (Leviticus 23:20; Numbers 6:20), the firstborn of clean sacrificed animals (Numbers 18:17), the firstlings of oil, wine, and corn, and the paschal sacrifices, belonged to the less holy, and might be eaten entirely or partially in any clean place within the holy city by the officiating priests and their families (Leviticus 10:12–14). The incense offering, the shew-bread (Exodus 30:26; Leviticus 24:9), the sin and trespass offerings (Leviticus 6:25–28; Leviticus 7:1; Leviticus 7:6; Leviticus 14:13, and others), and the meat offerings here described, belonged to the most holy class. They could only be eaten in the court of the sanctuary by the priests alone.