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.