The HCF of 8, 10 and 12 is 2. The greatest number that divides 8, 10, and 12 perfectly, leaving no remainder, is known as the HCF of 8, 10, and 12. Factors of 8, 10, and 12 are, respectively, (1, 2, 4, 8), (1, 2, 5, 10), and (1, 2, 3, 4, 6, 12). The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 8, 10 and 12.
Also read: Highest common factor
What is the HCF of 8, 10 and 12?
The answer to this question is 2. This article shows the HCF of 8, 10 and 12 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 8, 10 and 12?
There are three methods to find the HCF of 8, 10 and 12:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 8, 10 and 12 by Prime Factorisation Method
The prime factorisation of 8, 10 and 12 is given by:
Prime factorisation of 8 = (2 × 2 × 2)
Prime factorisation of 10 = (2 × 5)
Prime factorisation of 12 = (2 × 2 × 3)
Hence, the HCF of 8, 10 and 12 is 2.
HCF (8, 10, 12) = 2
HCF of 8, 10 and 12 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 8, 10 and 12.
No further division can be done.
Hence, HCF (8, 10, 12) = 2
HCF of 8, 10 and 12 by Listing the Factors
To calculate the HCF of 8, 10 and 12 by listing out the common factors, list the factors as shown below:
Factors of 8: 1, 2, 4, 8
Factors of 10: 1, 2, 5, 10
Factors of 12: 1, 2, 3, 4, 6, 12
There are 2 common factors of 8, 10 and 12, that are 1 and 2. Therefore, the highest common factor of 8, 10 and 12 is 2.
Related Articles
Video Lesson on Properties of HCF and LCM
HCF of 8, 10 and 12 Solved Example
Find the highest number that divides 8, 10, and 12 completely.
Solution:
The highest number that divides 8, 10, and 12 exactly is their highest common factor.
Factors of 8 = 1, 2, 4, 8
Factors of 10 = 1, 2, 5, 10
Factors of 12 = 1, 2, 3, 4, 6, 12
The HCF of 8, 10, and 12 is 2.
The highest number that divides 8, 10, and 12 is 2.
Comments