https://file.aiquickdraw.com/mathbot/file/172745824606233jtq44m.jpg

The image shows the following calculation:

\[
\text{gcd}(133, 147)
\]

This is asking for the greatest common divisor (gcd) of the numbers 133 and 147. Let me calculate it for you.

I'll use the Euclidean algorithm to find the gcd of 133 and 147.

Starting with:
1. Divide 147 by 133 to get the remainder: 
\[
147 \div 133 = 1 \quad \text{remainder} \ 14
\]
2. Now, divide 133 by 14:
\[
133 \div 14 = 9 \quad \text{remainder} \ 7
\]
3. Divide 14 by 7:
\[
14 \div 7 = 2 \quad \text{remainder} \ 0
\]

Since the remainder is now 0, the gcd is the last non-zero remainder, which is 7.

Thus, 
\[
\text{gcd}(133, 147) = 7
\]

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. How does the Euclidean algorithm work in general?
2. What are the properties of the greatest common divisor?
3. Can you find the least common multiple (LCM) of 133 and 147?
4. How can prime factorization be used to find the gcd?
5. How can gcd help in simplifying fractions?

**Tip:** When calculating gcd manually, the Euclidean algorithm is often the quickest method!

What is the greatest common divisor (gcd) of 133 and 147?

Learn how to find the greatest common divisor (gcd) of 133 and 147 using the Euclidean Algorithm. This problem covers key number theory concepts and explains the steps in detail. Suitable for students in Grades 7-9.

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