Final answer:
According to Claudius in Shakespeare's 'Hamlet', his unwillingness to part with the gains of his sin, including the crown, is the largest impediment to his salvation.
Step-by-step explanation:
The largest impediment to Claudius's salvation, according to his own words in William Shakespeare's play Hamlet, is the state of his soul, which remains 'limed' with the riches, ambition, and the very crown he gained through his sinful actions, particularly the murder of his brother, King Hamlet. Despite Claudius's recognition of his need for repentance, he realizes that he is unwilling to give up the fruits of his crime, which inhibits his ability to be truly penitent and thus, arguably, his salvation.