Class 7 · Chapter 11

Finding Common Ground

Highest common factors, lowest common multiples, and applications.

Read the full chapter
Ganita Prakash · Class 7 Part 2 (2026-27)
Tip: NCERT updated the syllabus for 2026-27. The links above open the latest edition on the official portal — chapter titles and numbering may differ from the notes shown here.
Detailed theory
Factorise both; multiply common primes to lowest power. HCF(12,18)=2⋅3=6(12,18)=2\cdot 3=6.
Key concepts & formulas
01
HCF: largest number dividing both.
02
LCM: smallest number both divide.
03
For a,ba, b: HCF(a,b)×(a,b) \times LCM(a,b)=a⋅b(a,b) = a\cdot b.
04
Use for fraction simplification, timing/gear problems.
05
Prime factorisation is a reliable method.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026