melissa_sherman
melissa_sherman 2d ago • 0 views

How to Use the Greatest Common Factor (GCF) to Simplify Fractions

Hey there! 👋 Ever wondered how to make fractions simpler? It's all about finding the Greatest Common Factor (GCF)! Let's dive in and learn how to use it. It's easier than you think! 🤓
🧮 Mathematics

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saramanning1992 Jan 7, 2026

📚 Quick Study Guide

  • 🔢 The Greatest Common Factor (GCF) is the largest number that divides evenly into two or more numbers.
  • ➗ To simplify a fraction using the GCF, find the GCF of the numerator and the denominator.
  • ✍️ Divide both the numerator and the denominator by their GCF.
  • 💡 The resulting fraction is the simplified form of the original fraction.
  • 🧮 Example: Simplify $\frac{12}{18}$. The GCF of 12 and 18 is 6. $\frac{12 \div 6}{18 \div 6} = \frac{2}{3}$.

Practice Quiz

  1. Question 1: What is the GCF of 16 and 24?
    1. 8
    2. 4
    3. 16
    4. 24
  2. Question 2: Simplify the fraction $\frac{20}{30}$ using the GCF.
    1. $\frac{2}{3}$
    2. $\frac{4}{5}$
    3. $\frac{10}{15}$
    4. $\frac{1}{2}$
  3. Question 3: What is the GCF of 45 and 60?
    1. 15
    2. 5
    3. 3
    4. 45
  4. Question 4: Simplify the fraction $\frac{36}{48}$ using the GCF.
    1. $\frac{3}{4}$
    2. $\frac{6}{8}$
    3. $\frac{9}{12}$
    4. $\frac{1}{2}$
  5. Question 5: Find the GCF of 28 and 42.
    1. 14
    2. 7
    3. 2
    4. 28
  6. Question 6: Simplify the fraction $\frac{24}{36}$ using the GCF.
    1. $\frac{2}{3}$
    2. $\frac{4}{6}$
    3. $\frac{8}{12}$
    4. $\frac{1}{2}$
  7. Question 7: What is the GCF of 15 and 25?
    1. 5
    2. 3
    3. 1
    4. 15
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