What is the HCF of 54, 162 and 189?1. 272. 93. 34. 1

1.	What is the HCF of 54, 162 and 189?1. 272. 93. 34. 1
Answer» Correct Answer - Option 1 : 27 Given: We have to find the HCF of 54, 162 and 189 Concept Used: Concept of HCF HCF (Highest Common Factor): HCF of x and y is the highest common factor that can divide x and y exactly For Example, 12 → Factors of 12 are 1, 2, 3, 4, 6 and 12 16 → Factors of 16 are 1, 2, 4, 8 and 16 Here common factors are 1, 2, and 4. But of these 4 is the largest/highest ∴ HCF of 12 and 16 is 4 Calculation: 54 → 2 × 3 × 3 × 3 162 → 2 × 3 × 3 × 3 × 3 189 → 3 × 3 × 3 × 7 Here, common factors amongst the above are 3 × 3 × 3 HCF of 54, 162 and 189 is 3 × 3 × 3 = 27 ∴ The required HCF is 27.

Answer» Correct Answer - Option 1 : 27

Given:

We have to find the HCF of 54, 162 and 189

Concept Used:

Concept of HCF

HCF (Highest Common Factor): HCF of x and y is the highest common factor that can divide x and y exactly

For Example,

12 → Factors of 12 are 1, 2, 3, 4, 6 and 12

16 → Factors of 16 are 1, 2, 4, 8 and 16

Here common factors are 1, 2, and 4. But of these 4 is the largest/highest

∴ HCF of 12 and 16 is 4

Calculation:

54 → 2 × 3 × 3 × 3

162 → 2 × 3 × 3 × 3 × 3

189 → 3 × 3 × 3 × 7

Here, common factors amongst the above are 3 × 3 × 3

HCF of 54, 162 and 189 is 3 × 3 × 3 = 27

∴ The required HCF is 27.

Discussion

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