CBSE · Class 7 · Mathematics · Chapter 11

Finding Common Ground

Explore factors, multiples, prime factorisation, highest common factors and lowest common multiples.

7 lessons 55 min
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Lessons in this chapter

  1. 1Common Factors and the HCFDiscover how the largest shared factor solves equal-size grouping problems.
  2. 2Prime Factorisation and All the FactorsBuild a number from primes and use its prime pieces to reveal its factors.
  3. 3Finding the HCF from Prime FactorsMatch the shared prime pieces to find the greatest possible common factor.
  4. 4Common Multiples and the LCMFind the first length or time shared by two repeating patterns.
  5. 5Patterns, General Statements, and CounterexamplesExplore what HCF and LCM reveal about special pairs of numbers.
  6. 6Efficient Joint Methods and the Product RelationshipCalculate HCF and LCM together and explain their two-number product link.
  7. 7Chapter Summary and PracticeConnect factors, multiples, prime pieces, HCF and LCM through mixed decisions and problems.
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