The HCF of 12, 16 and 24 is 4. The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 12, 16 and 24. The greatest number that divides 12, 16, and 24 perfectly without leaving a remainder is called the HCF of 12, 16, and 24. The set of numbers “(1, 2, 3, 4, 6, 12), (1, 2, 4, 8, 16), and (1, 2, 3, 4, 6, 8, 12, 24)”, respectively, that make up the factors of 12, 16, and 24.
Also read: Highest common factor
What is the HCF of 12, 16 and 24?
The answer to this question is 4. This article shows the HCF of 12, 16 and 24 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.
How to Find HCF of 12, 16 and 24?
There are three methods to find the HCF of 12, 16 and 24:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 12, 16 and 24 by Prime Factorisation Method
The prime factorisation of 12, 16 and 24 is given by:
Prime factorisation of 12 = (2 × 2 × 3)
Prime factorisation of 16 = (2 × 2 × 2 × 2)
Prime factorisation of 24 = (2 × 2 × 2 × 3)
Hence, the HCF of 12, 16 and 24 is 4.
HCF (12, 16, 24) = 4
HCF of 12, 16 and 24 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 12, 16 and 24.
No further division can be done.
Hence, HCF (12, 16, 24) = 4
HCF of 12, 16 and 24 by Listing the Factors
To calculate the HCF of 12, 16 and 24 by listing out the common factors, list the factors as shown below:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 16: 1, 2, 4, 8, 16
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
There are 3 common factors of 12, 16 and 24, that are 1, 2, and 4. Therefore, the highest common factor of 12, 16 and 24 is 4.
Related Articles
Video Lesson on Properties of HCF and LCM
HCF of 12, 16 and 24 Solved Example
Find the highest number that divides 12, 16, and 24 completely.
Solution:
The highest number that divides 12, 16, and 24 exactly is their highest common factor.
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
The HCF of 12, 16, and 24 is 4.
The highest number that divides 12, 16, and 24 is 4.
Comments