Answer:
Step-by-step explanation:
To find the highest common factor (HCF) of the numbers 45, 60, and 150, we can use various methods such as prime factorization or the Euclidean algorithm. Let's use the prime factorization method:
1. Find the prime factorization of each number:
- 45 = 3 × 3 × 5
- 60 = 2 × 2 × 3 × 5
- 150 = 2 × 3 × 5 × 5
2. Identify the common prime factors:
- The common prime factors among all three numbers are 3 and 5.
3. Determine the product of the common prime factors:
- HCF = 3 × 5 = 15
Therefore, the highest common factor (HCF) of 45, 60, and 150 is 15.
