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The largest number that can divide both 121 and 143 without any remainders is the greatest common divisor (GCD) of the two numbers. To find the GCD, we can use the Euclidean algorithm, which involves dividing the larger number by the smaller number and then using the remainder as the new divisor in the next iteration. After applying the algorithm, we find that the GCD of 121 and 143 is 11. Therefore, 11 is the largest number that can divide 121 and 143 without any remainders.
The idea here is to factor each of the numbers. Then look for common factors, i.e., factors that appear in both numbers.
4
When you divide any integer by 11, the largest possible remainder you can get is 10. This is because when you divide a number by 11, the remainders can range from 0 to 10. In this case, if the number being divided is one less than a multiple of 11, the remainder will be the largest possible, which is 10.
Well, darling, when you divide any number by 5, the largest remainder you can get is 4. Why? Because when you divide by 5, the remainders can only be 0, 1, 2, 3, or 4. So, if you wanna keep it simple and sassy, the largest remainder with a divisor of 5 is 4.
The largest number that will divide into any number evenly is the number itself.