Merge sets in dictionary of sets if they contain the same element

Question

I have a dictionary of sets looking like this:

dictionary = {'0':{'apple','pear','banana'},'1':{'orange', 'apple'},'2':{'grape'}, '3': {'banana','peach'}

I would like to merge sets that have 1 or more of the same elements in the dictionary. Either keeping this dictionary or making a new one.

My goal is to have a dictionary like this:

dictionary = {'0':{'apple','pear','banana','orange','peach'},'1':{'grape'}}

The key names do not matter.