What do you mean by flanged? If you are talking about the sinks with a
metal band around them (hudee rim) they will fall on you as you are
removing the bolts/clamps from underneath and need to be supported
while you are taking the clamps loose. A 2x4 spanning the sink with a
heavy rope through the drain holes helps hold it up.
If it is all porcelain sitting on top of the granite loosen all of the
clamps and disconnect all of the drain lines and see if it will push
up. If not, maybe someone else knows what to do, maybe a solvent or
something to dissolve the caulk.
These "drop in" sinks are usually secured by clips
fastened to the underside of the countertop. Get your
head underneath and look. When all the clips are removed
you may find the sink is held to the countertop by caulk
or (worse) an unidentified adhesive: but you may be
able to jar iit loose by hammering upwards from underneath.
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