Hello student,
With a score of 451, it becomes difficult to procure a seat in the government medical colleges in Gujarat when comparing the results of previous years. Last year,  a score of 478 was required to fetch one a seat in M. P. Shah medical college, Jamnagar in the state quota. But one thing to keep in mind is that scores and ranks vary each year with difficulty level of the question paper and availability of seats
However you can predict the colleges which you are likely to get using the given link
http://medicine.careers360.com/neet-college-predictor
Good luck

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