Class 10 · Mathematics · New NCERT

Chapter 1: Real Numbers

Chapter 1 revisits the properties of real numbers built up in earlier classes and develops two central results: Euclid's Division Lemma and the Fundamental Theorem of Arithmetic. Together these tools are used across the chapter's two exercises to find the HCF and LCM of integers using Euclid's division algorithm and prime factorisation.

Topics covered

  • Euclid's Division Lemma
  • Euclid's Division Algorithm
  • The Fundamental Theorem of Arithmetic
  • HCF and LCM by prime factorisation
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