Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II)

Master Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II) with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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The Greatest of All

Prime Factorisation

Finding HCF using Prime Factorisation

Figure it out - Page 54

Least, but not Last!

Finding LCM using Prime Factorisation

Patterns, Properties, and a Pretty Procedure!

Figure it out - Page 59

Miscellenaous Questions on HCF, LCM

Efficient Procedures for HCF and LCM

Property Involving both the HCF and the LCM

Figure it out - Page 63, 64

Why Learn This With Teachoo?

Welcome to Chapter 3: Finding Common Ground from your Class 7 Maths book, Ganita Prakash Part 2. To build a strong foundation in HCF and LCM, Teachoo is the best place to be.

This chapter is all about finding what numbers have in common. We will explore two fundamental concepts: the Highest Common Factor (HCF) and the Lowest Common Multiple (LCM).

We'll start by understanding why we need them through real-world examples, like tiling a floor or packing bags. Then, we'll move beyond just listing factors and multiples and learn a powerful, systematic method to find them. The concepts of prime factorisation are key here, and the step-by-step guides on Teachoo make this method incredibly simple to master.


In this chapter, we will study:

  • Highest Common Factor (HCF): What it is and how to find the "greatest of all" common factors.

  • Lowest Common Multiple (LCM): What it is and how to find the "least" common multiple.

  • Prime Factorisation: Using this as the main tool to find both HCF and LCM reliably.

  • Efficient Methods: A procedure that lets you find the HCF and LCM at the same time.

  • Key Properties: We will also discover the important relationship that connects the HCF, LCM, and the numbers themselves.


These are essential skills for all future maths, and Teachoo is the best place to ensure you understand them perfectly.

Ready to find some common ground? Click on any topic link to get started.