Which shows the GCF of 18 and 24 with [tex]\frac{18}{24}[/tex] in simplest form?
Answer (3)
18∣2 . 9∣3 . 3∣3 . 1∣ 18 = 2 × 3 × 3 24∣2 12∣2 . 6∣2 . 3∣3 . 1∣ 24 = 2 × 2 × 2 × 3 GCF ( 18 ; 24 ) = 2 × 3 = 6
24 18 = 24 : 6 18 : 6 = 4 3
To find the Greatest Common Factor (GCF) of 18 and 24, list the factors of each number: for 18 they are 1, 2, 3, 6, 9, 18 and for 24 they are 1, 2, 3, 4, 6, 8, 12, 24. The common factors are 1, 2, 3, and 6. Of these, the largest is 6, which makes it the GCF of 18 and 24.
To simplify the fraction 18/24, divide both the numerator and the denominator by their GCF which is 6:
18 / 6 = 3 24 / 6 = 4
When simplified, 18/24 is equal to 3/4.
The GCF of 18 and 24 is 6. When the fraction 24 18 is simplified using this GCF, it becomes 4 3 .
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