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7:05 Done deltamath.com \( \equiv \quad \) Assignment Overview 16 DeltaMath Greatest Common Factor © This is the only question in this section. Question (D) Video Examples What is the greatest common factor of 48,12 , and 3 ? Answer Attempt 1 out of 2 \( \square \) Submit Answer Copyright ©2025 DeltaMath.com All Rights Reserved. Terms \& Policies

Ask by Nguyen Reed. in the United States
Jan 26,2025

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Answer

The greatest common factor of 48, 12, and 3 is 3.

Solution

To find the **Greatest Common Factor (GCF)** of the numbers **48, 12, and 3**, follow these steps: ### Step 1: List the Factors of Each Number 1. **Factors of 48:** \[ 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 \] 2. **Factors of 12:** \[ 1, 2, 3, 4, 6, 12 \] 3. **Factors of 3:** \[ 1, 3 \] ### Step 2: Identify the Common Factors Find the numbers that appear in **all three lists**: - **Common Factors:** \(1, 3\) ### Step 3: Determine the Greatest Common Factor - The **largest** number in the common factors list is **3**. ### **Conclusion** The **Greatest Common Factor (GCF)** of **48, 12, and 3** is **3**. \[ \boxed{3} \]

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Did you know that the concept of the greatest common factor (GCF) dates back to ancient civilizations? The Greeks were among the first to study numbers systematically, including identifying common divisors using methods like the Euclidean algorithm, which is still taught in schools today! This ancient knowledge now underpins modern mathematics and helps in simplifying fractions and solving problems involving ratios. In practical terms, finding the GCF is super useful! Imagine you’re organizing a party and want to divide snacks evenly among friends. If you have 48 chips, 12 cookies, and 3 sodas, knowing the GCF lets you figure out how many of each treat can be distributed equally without leftovers. It saves you from the awkward moment when someone ends up with an uneven share!

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