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The image shows a problem asking to compute the greatest common divisor (gcd) of the numbers 45 and 40. 

To find the gcd of 45 and 40, we use the following method:

1. **Prime Factorization:**
   - 45 = 3² × 5
   - 40 = 2³ × 5

2. **Common Factors:** The only common factor between 45 and 40 is 5.

Thus, the **gcd(45, 40) = 5**.

Would you like more details or explanations about this?

Here are five related questions for further understanding:
1. How can you find the gcd of two numbers using the Euclidean algorithm?
2. What is the gcd of 60 and 48?
3. Can the gcd of two numbers ever be greater than the smaller number?
4. How is the gcd used in simplifying fractions?
5. What is the relationship between gcd and least common multiple (LCM)?

**Tip:** The Euclidean algorithm is an efficient way to compute the gcd of two numbers by repeatedly applying division and taking remainders.

What is the greatest common divisor (gcd) of 45 and 40?

Learn how to calculate the greatest common divisor (gcd) of 45 and 40 using the prime factorization method. Understand the steps involved and key concepts from number theory. This solution is suitable for students in Grades 5-7.

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