There is no such number.
For suppose x was a number such that it keft the same remainder r, when divided by 99 and 204.
Then x = 99a + r
and x = 204b +r for some integers a and b.
Consider y = x + 99*204 then y > x
Now y = (99a + r) + 99*204 = 99*(a+204) + r
so y leaves a remainder of r when divided by 99.
Also y = (204b + r) + 99*204 = 204*(b+99) + r
so y leaves a remainder of r when divided by 204.
This contradicts the proposition that x is the maximum such number.
15
36 is the largest positive integer that divides into both 108 and 144 evenly with no remainder.
The largest remainder, when dividing by any integer, n is n-1. So, when dividing by 2, the largest remainder is 1.
430/17=25r5 398/17=23r7
given any positive integer n and any integer a , if we divide a by n, we get an integer quotient q and an integer remainder r that obey the following relationship where [x] is the largest integer less than or equal to x
The largest [integer] remainder is 10. If the remainder was any more you would get one (or more) lots of 11.
15
The largest integer remainder is 6.
36 is the largest positive integer that divides into both 108 and 144 evenly with no remainder.
Because 4 is the largest positive integer that divides evenly into both 28 and 72 with no remainder.
The smallest positive integer is 1. The largest negative integer is -1. 1 > -1
The greatest common factor, or GCF, (also known as highest common factor) is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. They are always positive integers.
The set of positive integers is {1, 2, 3, 4, 5, ...}. Because the values approach positive infinity there is no largest positive integer. If you pick any positive integer, you can always create a larger one by simply adding 1 to it. So there can be no largest positive integer.
The largest remainder, when dividing by any integer, n is n-1. So, when dividing by 2, the largest remainder is 1.
5 is the largest positive integer that divides evenly into both of those numbers with no remainder.
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.