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The first step in simplifying 27/36 is to find the Greatest Common Factor (GCF) of 27 and 36. Remember, the GCF is the largest number that divides evenly into both 27 and 36. There are a couple of ways we can approach this. One method is to list out all the factors of each number and then identify the largest one they have in common. So, let's start with 27. The factors of 27 are 1, 3, 9, and 27. Now, let's list the factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36. Looking at these lists, we can see that the common factors are 1, 3, and 9. The largest among these is 9. So, the GCF of 27 and 36 is 9. Another method to find the GCF is the shane victorino net worth prime factorization method. This involves breaking down each number into its prime factors. The prime factorization of 27 is 3 x 3 x 3 (or 3³), and the prime factorization of 36 is 2 x 2 x 3 x 3 (or 2² x 3²). To find the GCF, we identify the common prime factors and their lowest powers. In this case, both numbers share 3 as a prime factor, and the lowest power of 3 present in both factorizations is 3². So, the GCF is 3² which equals 9. Whether you choose the listing factors method or the prime factorization method, the result is the same: the GCF of 27 and 36 is 9. This is a crucial step because it’s the number we’ll use to divide both the numerator and the denominator to simplify the fraction.
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