What's the most effective (and fast) way to clean the cast iron thingies on my gas stove?

Y'know..they'd be the burners if the burners weren't actual little rings of fire underneath. They're all gooped up from years of being used & spilled on, and I'm trying to rid this place of the previous owners' horrid messes!

Answers:
I would suggest you fill the sink with hot water and add 1-2 cups of normal biological powder.
mix this up and add anything that is full of goop ie anything from the cooker .Leave if you can over night if not leave for as long as possible .
Rinse with warm water and all the years goop will have disappeared.Economical aswell

Other answers:
For me, I wash mine every 3 days.
If you're talking about the cast iron cage thingies that go above the stove burners then:
First, fill your sink with hot water. Drop in some dettol liquid or your conventional dishwashing liquid, and stir.
Soak your cage thingie into the water for at least an hour. Take a rough sponge and scrub hard.
Rinse, then wipe clean with a cloth sprayed lightly with anti-bacterial spray.

If you're talking about those black little things that goes onto and covers the ring of fire.
I just use cloth spritzed with orange smelling anti-bacterial spray (I use Kiwi or Kao brand) and wipe HARD several times.
Keep spraying and wiping until your cloth does not turn black upon wiping it.
Soak cloth in hot water, then wipe again to finish off.
For me, I wash mine every 3 days.
If you're talking about the cast iron cage thingies that go above the stove burners then:
First, fill your sink with hot water. Drop in some dettol liquid or your conventional dishwashing liquid, and stir.
Soak your cage thingie into the water for at least an hour. Take a rough sponge and scrub hard.
Rinse, then wipe clean with a cloth sprayed lightly with anti-bacterial spray.

If you're talking about those black little things that goes onto and covers the ring of fire.
I just use cloth spritzed with orange smelling anti-bacterial spray (I use Kiwi or Kao brand) and wipe HARD several times.
Keep spraying and wiping until your cloth does not turn black upon wiping it.
Soak cloth in hot water, then wipe again to finish off.
I don't know what they're called either, but we'll call them grates for the sake of argument. What you need to do is take half of the grates (so that you can still use the other half of the stove), put them in a pan of soapy water, and bring the soapwater to a boil. The boiling dishwater will loosen grease like magic. After the water cools a bit, scour off the crud.

If that doesn't work, you can get cleaner that is made for outdoor grills - I bet that would work, it's like oven cleaner in that you have to spray it on, heat it, and wait a few hours.
Put them in a sealed, black garbage bag overnight with a little ammonia. Then scrub them well, and if they're really cast iron, re-season them with a tiny bit of cooking oil.
Use oven cleaner, like off, or some other brand..Spray some off on them, and let them sit, for about an hour, then wipe clean..
spray them with oven claner and then put them on a cookie sheet in a hot oven for a hr. they will clean up alot eaiser.
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