fan keeps coming on

Hey i have a problem every time i drive anywere even just a short spin to the shop the fan comes on my temp gauge stoped workin i put in a new coolent and temp senor and its still not working i am loseing coolent but theirs dosent seem to b any leaks anywere ive no hot air comin out of the inside fans i also took out the thermostat i was told it could b hgf but ive no mayo in oil any help will be heplfull

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