The largest number which divides 237, 132 and 62 to leave the same remainder is?
The largest number which divides 237, 132 and 62 to leave the same remainder is?
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.