prožderati

1. colloq. to gobble up; to devour
   Pas je za minut prožderao celu činiju. — The dog gobbled up the whole bowl in a minute.
   Deca su prožderala sve kolače. — The kids devoured all the cakes.
2. (figurative) to consume; to swallow up
   Vatra je prožderala celu šumu. — The fire consumed the entire forest.
   Kredit nam je prožderao sve uštede. — The loan swallowed up all our savings.
3. (of a look) to devour with one's eyes
   Prožderao ju je pogledom čim je ušla. — He devoured her with his eyes the moment she walked in.

Cruder than pojesti: žderati is usually said of animals or greedy eating.