Find HCF of 1826 and 2486.

Correct option is A

Given:

We need to find the HCF (Highest Common Factor) of 1826 and 2486.

Solution:

​$$2486\div 1826 = 1 \quad \text{(quotient)} \quad \text{remainder} = 2486 - 1 \times 1826 = 2486 - 1826 = 660 \\ \ \\1826\div 660 = 2 \quad \text{(quotient)} \quad \text{remainder} = 1826 - 2 \times 660 = 1826 - 1320 = 506\\ \ \\660\div 506 = 1 \quad \text{(quotient)} \quad \text{remainder} = 660 - 1 \times 506 = 660 - 506 = 154\\ \ \\506\div 154 = 3 \quad \text{(quotient)} \quad \text{remainder} = 506 - 3 \times 154 = 506 - 462 = 44\\ \ \\154\div 44 = 3 \quad \text{(quotient)} \quad \text{remainder} = 154 - 3 \times 44 = 154 - 132 = 22\\ \ \\44\div 22 = 2 \quad \text{(quotient)} \quad \text{remainder} = 44 - 2 \times 22 = 44 - 44 = 0$$​​

Since the remainder is now 0, the divisor at this step, which is 22, is the HCF.

The HCF of 1826 and 2486 is 22.