Answer :
Final answer:
In terms of number theory, the problem asks for the largest number dividing 3 given numbers to leave the same remainder. The answer involves finding the difference between the numbers and calculating the greatest common divisor (in this case 35) of those differences.
Explanation:
The subject of the problem is to find the largest number that divides 62, 132 and 237 leaving the same remainder in each case. This problem falls into the category of Number Theory, specifically in the field of divisibility and remainders.
First, you need to find the differences between these numbers which will be 237 - 132 = 105 and 132 - 62 = 70. The largest number which can divide these numbers (105 and 70) to leave the same remainder would be the Greatest Common Divisor (GCD) of these numbers. The GCD of 105 and 70 is 35. So, 35 is the largest number that divides 62, 132 and 237 to leave the same remainder in each case.
Learn more about Divisibility and Remainders here:
https://brainly.com/question/37191362
#SPJ11
