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Syllabus

Finding Common Ground — Syllabus

CBSE · Class 7 · Mathematics

What Finding Common Ground covers in CBSE Class 7 Mathematics: 4 topics, for the 2026-27 session. Part of the CBSE Class 7 Mathematics syllabus.

54 questions70 flashcards9 formulas & key relations5 concepts

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4 Topics · CBSE Class 7 Mathematics · 2026-27

Topics in Finding Common Ground

1

1. HCF: Highest Common Factor

  • The HCF of two or more numbers is the greatest common factor.
  • For the room of 12 ft by 16 ft, the square tile size is 4 ft because 4 is the HCF of 12 and 16.
  • Factors of 12 are 1, 2, 3, 4, 6, 12.
2

2. Prime Factorisation and the Division Method

  • A prime is a number greater than 1 that has only 1 and the number itself as its factors.
  • The prime factorisation of a prime number is the prime number itself.
  • Prime factorisation means writing a number as a product of primes.
3

3. LCM: Lowest Common Multiple

  • The LCM of two or more given numbers is the lowest, smallest, or least of their common multiples.
  • For 6 cm and 8 cm strips, the shortest common toran length is 24 cm.
  • Kabamai gets free gajak again after 70 days because 70 is the LCM of 7 and 10.
4

4. Patterns, General Statements, and Special Properties

  • A statement describing a pattern or property that holds in all possible cases is called a general statement.
  • Generalisation is the process of making such a general statement.
  • If one number is a factor of another, the HCF of the pair equals the smaller number.

Key Concepts

Central concept: HCF and LCM through factors, multiples, and prime factorisation

Highest Common Factor HCFLowest Common Multiple LCMPrime factorisationFactorsMultiplesConjecture and counterexampleShortcut methodsHCF LCM relation

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Frequently Asked Questions

What are the important topics in Finding Common Ground for CBSE Class 7 Mathematics?
Key topics in Finding Common Ground include HCF: Highest Common Factor, Prime Factorisation and the Division Method, LCM: Lowest Common Multiple, Patterns, General Statements, and Special Properties. Study these first, then practise questions on each for Class 7 exams.
How should I revise Finding Common Ground for Class 7 exams?
Learn the core ideas first, then work through the 54 practice questions on Finding Common Ground. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All CBSE Class 7 Mathematics Syllabus

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