Chapter 2

HCF and LCM

5th Class Mathematics Chapter 2 Notes FBISE

Comprehensive solved study notes, MCQs, divisibility rules, and factorization questions for Class 5 Mathematics Chapter 2 to help you master HCF and LCM.

Federal BoardClass 5MathematicsEnglish MediumSession 2026-2027SLO-BasedFBISE / NBF Curriculum
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Quick Answer

This page provides complete solved notes for Class 5 Mathematics Chapter 2 (HCF and LCM) according to the Federal Board (FBISE) National Book Foundation (NBF) syllabus. Students can find solved exercises, multiple-choice questions (MCQs), short questions, long problems, divisibility rules for 7 and 11, prime and composite numbers, and step-by-step methods for finding HCF and LCM.

Chapter Overview

Chapter 2 of Class 5 Mathematics, titled 'HCF and LCM', introduces primary students to the concept of factors and multiples. The chapter kicks off with divisibility rules for 7 and 11, helping students quickly determine if a number is divisible by these two prime numbers without executing long division. This is a critical skill for factors calculations.

Next, the chapter clarifies the difference between prime and composite numbers. It includes a fun class activity based on the Sieve of Eratosthenes, a historical method used to identify all prime numbers up to a certain limit. By visually filtering out multiples, students gain an intuitive grasp of how prime numbers are isolated from composite numbers.

Finally, the core of the chapter teaches students how to calculate the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two or three numbers. It walks students through prime factorization and division methods to find these values. These notes offer detailed, step-by-step solutions to ensure students can solve related word problems confidently.

Chapter 2 Notes Material

Use the following study material to prepare Chapter 2 completely.

Download Chapter 2 PDF

Download the complete, solved Chapter 2 (HCF and LCM) PDF notes for offline study. This resource is fully aligned with the latest FBISE, NBF, and National Curriculum guidelines, making it perfect for quick exam revision.

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