It's a way to reduce fractions. If you wanted to reduce 20/24 and you knew that the GCF of 20 and 24 was 4, you would divide 20 and 24 by 4 and get 5 and 6.
20/24 = 5/6
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Both 1 and 19 can divide into both 19 and 57.
It is called simplification [by cancelling common factors].
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. Factors go into numbers, numbers go into multiples.
It is 9 derived as: Prime Factors of 36: 2x2x3x3 Prime Factors of 45: 5x3x3 Prime Factors of 54: 2x3x3x3 The common prime factors of all the three numbers are 3x3 = 9 To check you answer: 1. Divide all the three numbers by 9 and they shall be perfectly divisible 2. Try and divide non common factors of each number by other two, it would not be perfectly divisible (i.e. Try and divide 54 by 5)