Explanation:

Let the divisor be X.

Using the standard identity,

Dividend = (Divisor × Quotient) + Reminder

We have,

37 = (X × Q₁) + 2

⇒ (X × Q₁) = 35 [Where Q₁ is a quotient]

Similarly,

59 = (X × Q₂) + 3

⇒ (X × Q₂) = 56 [Where Q₂ is a quotient]

74 = (X × Q₃) + 4

⇒ (X × Q₃) = 70 [Where Q₃ is a quotient]

Now, since X is the largest number satisfying the given condition, X will be the HCF of 35, 56 and 70.

HCF [35, 56, 70] = 7

Hence, option 1 is the correct answer.