A remainder of zero is obtained whenever the number is divided by its factor. For example, when 20 is divided by either 1,2,4,5,10 or 20 the remainder is zero. Every number has 1 as its divisor.Infact, this is the definition of divisor- a number which divides another number to return zero as the remainder.
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To find the greatest number that divides 319, 572, and 1329 while leaving remainders of 4, 5, and 6 respectively, we need to use the Chinese Remainder Theorem. First, find the least common multiple of the three given divisors (4, 5, and 6), which is 60. Then, apply the Chinese Remainder Theorem to find the number that satisfies the given conditions. The solution will be the number that is congruent to 4 modulo 4, 5 modulo 5, and 6 modulo 6.
A factor divides evenly into a given number.
The greatest common factor, or GCF, is the largest number that divides evenly with no remainder into a set of given numbers.
A factor.
A factor or divisor.