Correct Answer - Option 2 : y
Calculation:
HCF of 132, 156 and 192 is x
⇒ 132 = 2 × 2 × 3 × 11
⇒ 156 = 2 × 2 × 3 × 13
⇒ 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3
HCF of 132, 156 and 192 is (2 × 2) = 4
HCF of 105, 150 and 210 is y
⇒ 105 = 3 × 5 × 7
⇒ 150 = 2 × 3 × 5 × 5
⇒ 210 = 2 × 3 × 5 × 7
HCF of 105, 150 and 210 is (3 × 5) = 15
HCF of 112, 196 and 210 is z
⇒ 112 = 2 × 2 × 2 × 2 × 7
⇒ 196 = 2 × 2 × 7 × 7
⇒ 210 = 2 × 3 × 5 × 7
HCF of 112, 196 and 210 is (2 × 7) = 14
∴ The greatest HCF is y
