MCQ - 361-9093

Correct Answer: B

Explanation:

We know that Dividend = Divisor × Quotient + Remainder
According to the problem :
Dividend 1 = 245
Dividend 2 = 1029
Dividend - Remainder = Divisor × Quotient
So Dividend 1- Remainder = 240 = Divisor × Quotient 1
Prime Factor of 240 = 2⁴ × 3 × 5
Dividend 2 – Remainder = 1024 = Divisor × Quotient 2
Prime Factor of 1024 = 2⁴ × 2⁶
Since, the Divisor is common for both the numbers we need to find the Highest Common Factor between both the numbers. From the Prime factors, we find the
Highest Common Factor between the two numbers is 2⁴ = 16