write and prove the Euclid division lemma and with application of this theorem.
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Euclid's division lemma is used to find the HCF of two large numbers by using the following statement,& 'a = bq +r' , where 0 ≤ r < b. Here 'a' and 'b' are positive integers and a > b. ... If r = 0, 'd' is the HCF of 'c' and 'd'. If r ≠ 0, apply the division lemma to 'd' and 'r'.
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Euclid's division lemma is used to find the HCF of two large numbers by using the following statement,& 'a = bq +r' , where 0 ≤ r < b. Here 'a' and 'b' are positive integers and a > b. ... If r = 0, 'd' is the HCF of 'c' and 'd'. If r ≠ 0, apply the division lemma to 'd' and 'r'.
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