Find the HCF of 48, 60, and 72.

Find the HCF of 48, 60, and 72.

Correct Answer: 12

Step 1: List the factors of each number.
Step 2: Find the factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Step 3: Find the factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
Step 4: Find the factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
Step 5: Identify the common factors from the lists: 1, 2, 3, 4, 6, 12.
Step 6: Find the largest common factor: The largest number in the common factors is 12.
Step 7: Conclude that the HCF of 48, 60, and 72 is 12.

Highest Common Factor (HCF) – The HCF is the largest number that can divide all given numbers without leaving a remainder.
Prime Factorization – Finding the HCF can involve breaking down each number into its prime factors and identifying the common factors.
Divisibility Rules – Understanding how to determine if one number is a divisor of another is crucial for finding the HCF.