https://file.aiquickdraw.com/mathbot/file/1726552809201nisymziy.jpg

The question in the image asks:

"There are 42 students and 54 desks in a classroom. What is the largest number of students that can be arranged evenly at each desk?"

This problem is asking for the greatest number of students that can sit evenly at each desk. To solve this, we need to determine the **greatest common divisor (GCD)** of 42 and 54. 

Let's calculate the GCD of 42 and 54.

### Prime factorization:
- 42 = 2 × 3 × 7
- 54 = 2 × 3³

The common factors are 2 and 3, so:

\[
\text{GCD}(42, 54) = 2 \times 3 = 6
\]

Thus, the largest number of students that can be arranged evenly at each desk is **6 students**.

Would you like more details or explanations on this?

Here are 5 related questions:
1. What is the GCD of 28 and 35?
2. How can the concept of GCD be applied in dividing groups evenly?
3. How do you calculate the Least Common Multiple (LCM) of two numbers?
4. If there were 56 students and 72 desks, how would you find the largest even arrangement?
5. Can the GCD be used to solve problems in areas other than seating arrangements?

**Tip:** The GCD helps in finding the largest groupings where no remainder is left when distributing items evenly.

There are 42 students and 54 desks in a classroom. What is the largest number of students that can be arranged evenly at each desk?

Learn how to calculate the largest number of students that can be evenly arranged at each desk. This problem involves finding the greatest common divisor (GCD) of 42 and 54. Suitable for students in Grades 6-8.

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