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Class 10 Mathematics · Real Numbers

Euclid's Division Lemma

For any two positive integers a and b there exist unique integers q and r with a = bq + r, 0 ≤ r < b. We use it to find the HCF of two numbers efficiently.

Learning objectives

  • State Euclid's division lemma and identify dividend, divisor, quotient and remainder
  • Apply Euclid's division algorithm to find the HCF of two positive integers
  • Use the lemma to prove simple properties of integers

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