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What is the greatest common divisor (GCD) of 12 and 15?
What is the greatest common divisor (GCD) of 12 and 15?
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What is the greatest common divisor (GCD) of 12 and 15?
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The GCD of 12 and 15 is 3, as it is the largest number that divides both.
Questions & Step-by-step Solutions
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Q
Q: What is the greatest common divisor (GCD) of 12 and 15?
Solution:
The GCD of 12 and 15 is 3, as it is the largest number that divides both.
Steps: 5
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Step 1: List the factors of 12. The factors are 1, 2, 3, 4, 6, and 12.
Step 2: List the factors of 15. The factors are 1, 3, 5, and 15.
Step 3: Identify the common factors from both lists. The common factors are 1 and 3.
Step 4: Find the largest common factor. The largest common factor is 3.
Step 5: Therefore, the greatest common divisor (GCD) of 12 and 15 is 3.
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