Welcome to the World of HCF: Exploring Factors and Common Factors

What is the Highest Common Factor (HCF) of 216, 288, and 720?

Is it:

(A) 12

(B) 24

(C) 84

(D) 72

Final answer:

The HCF (Highest Common Factor) of 216, 288, and 720 is 72, which is the largest number that can divide each of these numbers without a remainder.

Explanation:

The HCF, or Highest Common Factor, of several numbers is the largest number that can divide each of these numbers without a remainder. To find the HCF of 216, 288, and 720, we can list the factors of each number. For 216, the factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216. For 288, the factors are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 and 288. For 720, the factors include 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360 and 720.

The common factors of these three numbers include 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. However, the Highest Common Factor (or HCF) of 216, 288, and 720 is 72.

By understanding factors and common factors, we can efficiently determine the HCF of multiple numbers. The concept of HCF is essential in various mathematical calculations and problem-solving scenarios.

For further exploration and practice with HCF, you can refer to additional resources and practice questions related to this topic.