Find the largest number which divides 320 and 457 leaving remainders 5 and 7 respectively.
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subtraction remaineders are:(320-5)=325 and (457-7)=450 we have to find the HCF of 315 and 457 by using Euclid 's division Lemma a=bq+r
here ,450>315
315=135×2+45
135=45×3+0
therefore HCF of 450 and 315 is 45
remainder 5 and 7 respectively is 45
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