Correct Answer - Option 3 : 7
Given:
Ratio of two numbers = 3 ∶ 5
LCM = 105
Calculation:
Let, the numbers = 3x and 5x
According to the question,
⇒ 3x = 3 × x
⇒ 5x = 5 × x
∴ LCM of 3x and 5x = (3 × 5 × x) = 15x
∴ HCF of 3x and 5x = x
According to the question,
⇒ 15x = 105
⇒ x = 7
∴ HCF = 7