Question
Example Find the HCF and LCM of 32 and 60 using prime factors Answer HCF of 32 and \( 60=2 \times 2=4 \) LCM of 32 and \( 60=2^{5} \times 3 \times 5 \) EXERCISE 1.3 1. List the factors of 27 and 36 and then find the HCF.
Ask by Little King. in South Africa
Jan 23,2025
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Answer
The HCF of 27 and 36 is 9.
Solution
**EXERCISE 1.3**
**1. List the factors of 27 and 36 and then find the HCF.**
**Step 1: List the Factors**
- **Factors of 27:**
- 1, 3, 9, 27
- **Factors of 36:**
- 1, 2, 3, 4, 6, 9, 12, 18, 36
**Step 2: Identify the Common Factors**
- **Common Factors of 27 and 36:**
- 1, 3, 9
**Step 3: Determine the Highest Common Factor (HCF)**
- The highest number common to both lists of factors is **9**.
**Answer:**
- **HCF of 27 and 36 = 9**
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Simplify this solution The Deep Dive
The factors of 27 are 1, 3, 9, and 27, while the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors between the two are 1, 3, and 9, which makes the HCF of 27 and 36 equal to 9. Now, if you’re wondering how this all connects to everyday life, think about making a playlist! If you have 27 songs and your friend has 36, the greatest number of songs you can use to create something everyone enjoys (without repeating) is 9. It's all about finding common ground, whether in music or math!
