Example 2 - Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II)

Last updated at August 14, 2026 by

Find the common factors, and the HCF of 112 and 84 [Ganita Prakash] - Finding HCF using Prime Factorisation

part 2 - Example 2 - Finding HCF using Prime Factorisation - Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II) - Class 7 (Ganita Prakash 1, 2 & old NCERT)

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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

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