![Find the common factors, and the HCF of 112 and 84 [Ganita Prakash] - Finding HCF using Prime Factorisation](https://cdn.teachoo.com/e1b32f3c-f8da-47e2-b706-24d60aaed367/slide61.jpg)
Example 2 - Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II)
Last updated at January 22, 2026 by Teachoo
Finding HCF using Prime Factorisation
Finding HCF using Prime Factorisation
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Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II)
- The Greatest of All
- Prime Factorisation
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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
Example 2 Find the common factors, and the HCF of 112 and 84.Let’s find Prime Factorisation of both 112 & 84 Now, 112 = 2 × 2 × 2 × 2 × 7 84 = 2 × 2 × 3 × 7 HCF of 112, 84 = 2 × 2 × 7 = 28 Now, we need to find Common Factors also Common Factors of 112 & 84 Since 112 = 2 × 2 × 2 × 2 × 7 84 = 2 × 2 × 3 × 7 The common factors are 2 7 2 × 2 = 4 2 × 7 = 14 And, 2 × 2 × 7 = 28 Thus, common factors are 2, 7, 4, 14 and 28
