https://file.aiquickdraw.com/mathbot/file/1730679154683kxj3v8ny.jpg

To solve this problem, we need to determine which numbers fill in the two blank circles in this "GCF-LCM Web," using the numbers given: 380 and 19.

1. **Identify Prime Factors**: Start by finding the prime factors of 380 and 19.
   - **19** is a prime number, so its only factors are \(1\) and \(19\).
   - **380** can be factored as follows:
     \[
     380 = 2 \times 2 \times 5 \times 19 = 2^2 \times 5 \times 19
     \]

2. **Determine the GCF (Greatest Common Factor)**: The GCF is the largest factor that both 380 and 19 share.
   - Since 19 is a factor in both numbers, the **GCF is 19**.

3. **Determine the LCM (Least Common Multiple)**: The LCM is the smallest number that both 380 and 19 can divide into without leaving a remainder.
   - Since 380 is already a multiple of 19, the **LCM is 380**.

4. **Place Values in the Web**: 
   - The GCF of 380 and 19 should go in one of the blank circles, which is **19**.
   - The LCM of 380 and 19 should go in the other blank circle, which is **380**.

Thus, the two missing values are **380** and **19**. This completes the GCF-LCM Web.

Would you like further details or have any questions?

### Related Questions:
1. How do you calculate the GCF and LCM of two numbers?
2. Why is 19 considered a prime number?
3. What is the difference between a prime factorization and finding GCF/LCM?
4. How would the web change if different numbers were used, like 45 and 60?
5. What are some real-world applications of GCF and LCM?

#### Tip:
When finding GCF and LCM, breaking down each number into its prime factors can make the process clearer.

Fill each blank circle to complete the GCF-LCM Web with the numbers 380 and 19.

Learn how to complete a GCF-LCM web using the numbers 380 and 19. Understand the prime factorization method to find the GCF as 19 and LCM as 380, suitable for middle school math students in grades 6-8.

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