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Chapter Summary

Finding Common Ground

CBSE · Class 7 · Mathematics

Summary of Finding Common Ground for CBSE Class 7 Mathematics. Key concepts, important points, and chapter overview.

54 questions70 flashcards5 concepts

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Overview

Highest Common Factor and Lowest Common Multiple are two key ideas for working with numbers. HCF helps when equal groups or equal-sized parts are needed with the greatest possible size, while LCM helps when a common repeat point or shared time is needed with the smallest possible value. Prime factor

Key Concepts

The factors of 12 are 1

The factors of 12 are 1, 2, 3, 4, 6, 12 and the factors of 16 are 1, 2, 4, 8, 16. Their common factors are 1, 2, and 4. Common factors are numbers tha

The Highest Common Factor is

The Highest Common Factor is the highest or greatest of the common factors of two or more numbers. For 12 and 16, the HCF is 4.

The Lowest Common Multiple is

The Lowest Common Multiple is the lowest or smallest of the common multiples of two or more numbers. For 6 and 8, the LCM is 24; for 7 and 10, it is 7

A prime is a number greater

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

Any number can be written as

Any number can be written as a product of primes. For example, 90 = 3 × 3 × 2 × 5, and 105 = 3 × 5 × 7. Different factorisation paths for 90 lead to t

Learning Objectives

  • Identify factors, common factors, HCF, and LCM
  • Use prime factorisation to find HCF and LCM
  • Understand the division method for prime factorisation
  • Recognise conjectures and counterexamples
  • Use number patterns and properties to solve problems

Frequently Asked Questions

What are the important topics in Finding Common Ground for CBSE Class 7 Mathematics?
Finding Common Ground covers several key topics that are frequently asked in CBSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Finding Common Ground — CBSE Class 7 Mathematics?
Understand the core concepts first, then work through the 54 practice questions available for this chapter. Revise formulas and 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.

More resources for Finding Common Ground

All 15 chapters — CBSE Class 7 Mathematics Chapter Summary

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