A biocomponent feedstock can be hydroprocessed using a hydrogen-containing refinery as a source of hydrogen gas. A relatively low cost catalyst, such as a water gas shift catalyst and/or spent hydrotreating catalyst, can be used as a hydrogenation catalyst for the process. The hydroprocessing can allow for olefin saturation and/or deoxygenation of the biocomponent feed by using a relatively low value refinery stream, e.g., containing from about 20 mol % to about 60 mol % hydrogen.