What is the formula of eqalid …
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Posted by Š&Ãś&Wàť Khäřë 5 years, 4 months ago
- 3 answers
Gaurav Seth 5 years, 4 months ago
According to Euclid’s Division Lemma if we have two positive integers a and b, then there exist unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r ≤ b.
Gaurav Seth 5 years, 4 months ago
Theorem (Euclid’s Division Lemma):
For a pair of given positive integers ‘a’ and ‘b’, there exist unique integers ‘q’ and ‘r’ such that
a=bq+ra=bq+r, where 0≤r<b0≤r<b
Explanation:
Thus, for any pair of two positive integers a and b; the relation
a=bq+ra=bq+r, where 0≤r<b0≤r<b
will be true where q is some integer.
<hr />Example:
(a) 20, 8
Let 20 = a and 8 = b
Therefore, by applying the relation a=bq+ra=bq+r, where 0≤r<b0≤r<b we get 20=8×2+420=8×2+4 (In this q=2q=2 and r=4r=4)
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Arpita Singh 5 years, 4 months ago
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