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The greatest remainder when dividing by a number is always one less than that number. Therefore, for the divisors 3, 8, and 5, the greatest remainders would be 2 (for 3), 7 (for 8), and 4 (for 5). Among these, the largest remainder is 7, which corresponds to the divisor 8.

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1mo ago

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How do you explain What is the greatest remainder of the divisor 3?

The greatest remainder when dividing by 3 is 2. When you divide any integer by 3, the possible remainders are 0, 1, or 2. For example, if you divide 7 by 3, the quotient is 2 and the remainder is 1, while dividing 8 by 3 gives a remainder of 2, which is the highest possible remainder for that divisor.


Why should the remainder not be greater than the divisor?

It must be less else you have not divided properly; you could divide again 1 or more times!If the remainder is equal to the divisor (or equal to a multiple of the divisor) then you could divide again exactly without remainder. If the remainder is greater but not a multiple of the divisor you could divide again resulting in another remainder.E.g. Consider 9/2. This is 4 remainder 1. Let's say our answer was 3 remainder 3; as our remainder "3" is greater than the divisor "2" we can divide again so we have not carried out our original division correctly!


What is the greatest remainder for the divisor 5?

The greatest remainder when dividing by 5 is 4. This is because when a number is divided by 5, the possible remainders are 0, 1, 2, 3, and 4. Since 4 is the highest value in this set, it is the greatest remainder one can obtain when using 5 as the divisor.


What is the greatest common divisor of 12 and 3?

The Greatest Common Divisor (GCD) for 12 3 is 3.


What is the greatest common divisor of 3 and 30?

The Greatest Common Divisor (GCD) for 3 30 is 3.


What is the greatest common divisor of 6 and 9?

The Greatest Common Divisor is 3


What is the greatest common divisor of 15 and 18?

The Greatest Common Divisor of 15, 18 3.


What is the greatest common divisor of 5 and 3?

Greatest Common Divisor (GCD) for 5 3 is 1.


The greatest common divisor of 12 and 15?

Greatest common divisor of 12 and 15 is 3.


What is the greatest common divisor of 60 and 231?

greatest common divisor of 60 and 231 is 3.


Which number is a reasonable remainder if the divisor is 7?

3


Is 3 a divisor of 38?

No because it will have a remainder of 2