How to Find HCF of 3 Numbers?
To find the HCF of 3 numbers, identify their prime numbers and multiply the common prime factors.
Steps To find the Highest Common Factor (HCF) of three numbers:
Step 1: Find the prime factors of each number.
Step 2: Identify the common prime factors among the three numbers.
Step 3: Multiply the common prime factors.
Step 4: Product obtained is the HCF of the three numbers.
Example: Let’s say we want to calculate the HCF of 12, 18, and 24.
Solution:
Find the prime factors of each number:
- Prime factors of 12: 12 = 2×2×3
- Prime factors of 18: 18 = 2×3×3
- Prime factors of 24: 24 = 2×2×2×3
Identify the common prime factors:
The common prime factors among 12, 18, and 24 are 2 and 3.
Multiply the common prime factors:
2×3 = 6
The product obtained is the HCF of the three numbers:
Therefore, the HCF of 12, 18, and 24 is 6.
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How to Find HCF of 3 Numbers?
Highest Common Factor (HCF), also known as the Greatest Common Divisor (GCD), is a fundamental concept in number theory and arithmetic. It refers to the largest positive integer that divides two or more integers without leaving a remainder. The HCF is particularly useful for simplifying fractions, solving problems involving ratios, and understanding the properties of numbers.
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