Find the HCF of 48, 60, and 72.

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Question: Find the HCF of 48, 60, and 72.

Options:

Correct Answer: 24

Solution:

The HCF of 48, 60, and 72 is 12, as it is the largest number that divides all three.

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.