Circuit breakers and fuses are 15 amps or more. 0.7 amps is like one
traditional incancdescent 75 (or 85) watt lightbulb. So you wouldn't
have to do it becuase of high amperage used. Maybe there is some
other reason you have in mind?
First, you don't have a gas hot water furnace. You have a boiler. Furnaces
heat air, boilers heat water.
The circulator is usually wired to a relay on the boiler and works in
conjunction with the thermostat. The boiler main power should be on a
dedicated circuit. If you have something different, please be more specific
as it would be very unusual.
As Ed said, the circulator pumps and other boiler controls would generally
be wired to the same circuit as the burner, unless you have more pumps or
equipment than a single circuit can handle, in which case you would add more
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