Answer :
Final answer:
The largest number that divides 62, 132, and 237 to leave the same remainder is 35.
Explanation:
To find the largest number which divides three given numbers and leaves the same remainder, we need to find the greatest common divisor (GCD) of the differences between the given numbers. In this case, the given numbers are 62, 132, and 237.
- Find the differences between the given numbers:
132 - 62 = 70
237 - 132 = 105 - Find the GCD of these differences:
GCD(70, 105) = 35
Therefore, the largest number which divides 62, 132, and 237 to leave the same remainder is 35 (Option D).
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