The largest number which divides 237, 132 and 62 to leave the same remainder is?
- 15
- 35
- 25
- None of these
Explanation
To find the largest number that divides 237, 132, and 62 leaving the same remainder, we need to find the differences between the numbers:
237 - 132 = 105
237 - 62 = 175
132 - 62 = 70
Now, let's find the greatest common divisor (GCD) of 105, 175, and 70:
GCD(105, 175) = 35
GCD(35, 70) = 35
The largest number that divides the given numbers leaving the same remainder is 35.
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