27) Of a burnt-offering, which is to be entirely burned, Scripture states that their hide is to go to the Cohanim. Of peace-offerings, that are eaten by the owners, Scripture states that their blood and devoted portions are to go to the altar, wherefore Scripture states (Vayikra 8:25): "And he took the fat and the fat-tail … and the right shok" as their terumah to the altar.
The Burnt Offering Hide and the Peace Offering Fats at Aaron's Altar
Sifra, Mekhilta deMiluim I 27
[כז] עולה כולה כליל אמר הכתוב "יהי עורה מתנה לכהנים", שלמים הנאכלים לבעלים אמר הכתוב "יהי דמם ואימוריהן למזבח" לכך נאמר "ויקח את החלב ואת האליה…ואת שוק הימין" – זו היתה תרומתן למזבח.