Find the common factors and the HCF of 96 and 275 [Class 7 Part 2] - Finding HCF using Prime Factorisation

part 2 - Example 3 - 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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Example 3 Find the common factors and the HCF of 96 and 275.Let’s find Prime Factorisation of both 96 & 275 Now, 96 = 2 × 2 × 2 × 2 × 2 × 3 275 = 5 × 5 × 11 Since there are no common prime factors , only 1 will be the common factor ∴ HCF = 1 Common Factors of 96 & 275 Since 96 = 2 × 2 × 2 × 2 × 2 × 3 275 = 5 × 5 × 11 Only 1 is the common factor, and that is also the highest common factor

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