There are various types/combinations of rocket fuels. The most popular one is Hydrogen which was used by the Space Shuttle. But there are some hydrocarbon fuels as well that are used in rocket engines (for example RP-1 used by the Soyuz rocket). By asking specifically about rocket fuel I assume that you make the distinction between fuel and oxidizer (because a rocket engine generally uses both fuel and oxidizer in contrast with gas turbine engines who takes its oxidizer from atmospheric air).
All in all, the answer is not as straight forward as you might expect: certain rocket fuels (see RP-1 like fuels) are very similar to jet fuel so they can be used as fuels in gas turbine engines. Other fuels like hydrogen or hydrazine can't be used in current gas turbine engines. But it is not impossible to have in the future gas turbine engines that uses hydrogen or some other fuels used in rocket engines.
A variation of Aviation Turbine Fuel has always been used in turbine engines. Variations of gasoline have always been used in aircraft with piston engines.
AMMONIA
Liquid hydrogen is a common fuel used in rocket engines.
Aircraft with jet or turbine engines use varities of kerosene.
It is hydrogen and oxygen, these two gases are mainly used in rockets
A rocket's fuel is typically located in large tanks situated within the rocket's body. The fuel is stored separately from the rocket's engines and is used as propellant for thrust during launch and flight.
A single stage rocket consists of only a single set of rocket engines and fuel containers. This assembly is used for the entire journey. A multistage rocket consists of several sets of engines and fuel containers that are used in succession. When the fuel of one stage is spent it detaches from the rocket to get rid of the weight and the next set of engines is ignited. Multistage rockets are far more efficient at getting things into space.
gasoline along with liquid oxygen, so the fuel can burn
As fuel oil in the boilers of steam-turbine powered ships, perhaps.
The space shuttle main engines (SSME) RS 24 engines use rocketdyne liquid hydrogen and liquid oxygen fuel in the engine that is designed in such a way that the engines are reusable.
aviation turbine fuel
Cars have Internal Combustion Engines. You cannot use rocket fuel in this type engine.At this point there is only one car that can run on rocket fuel. NASA has an experimental BMW sedan that can run on liquid hydrogen, better known as the rocket fuel used in the space shuttles...