You are here
![[Maths] Patterns, Properties, and a Pretty Procedure! [Ganita Prakash] - Patterns, Properties, and a Pretty Procedure!](https://cdn.teachoo.com/01ff4e97-2149-4ddd-ba37-ba8bc95b7efa/slide28.jpg)
Patterns, Properties, and a Pretty Procedure!
Last updated at January 23, 2026 by Teachoo
Patterns, Properties, and a Pretty Procedure!
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II)
- 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
Transcript
Patterns, Properties, and a Pretty Procedure!If one number is a factor of the other (like 6 is a factor of 18 ), then: The HCF is the smaller number. The LCM is the larger number. Hence, for numbers 6 & 18 HCF if 6 LCM is 18 Now, letβs answer some questions If π is a number (and the HCF), what could the other number be? The other number can be any multiple of π. Because, for π to be the HCF, it must divide the other number fully. Example: If π=5, the other number could be 10, 15, 20 etc. Question (b): If 7π is a number (and the HCF), what could the other number be? The other number can be any multiple of ππ. Example: 14π, 21π, 28π.
