Question : Which is the largest number that divides each of 1036, 1813, and 3885 without leaving any remainder?
Option 1: 333
Option 2: 111
Option 3: 259
Option 4: 37
Correct Answer: 259
Solution : HCF of 1036, 1813, and 3885 are as follows: 1813 – 1036 = 777 3885 – 1813 = 2072 Now difference of 2072 and 777 = 2072 – 777 = 1295 Again difference of 1295 and 777 = 1295 – 777 = 518 Again difference of 518 and 777 = 777 – 518 = 259 Thus, 259 divides all three numbers remaining zero as a remainder. Hence, the correct answer is 259.
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