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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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How do you find the greatest number which divides 319 572 and 1329 leaving remainder 4 5 and 6 respectively?
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.
This is a number which divides evenly into a given number?
A factor divides evenly into a given number.
What is the brief definition of a greatest common factor?
The greatest common factor, or GCF, is the largest number that divides evenly with no remainder into a set of given numbers.
What number divides evenly into a given number?
A factor.
Is a number into which a given number divides exactly a multiple?
Yes.
