The HCF of 8, 9 and 25 is 1. The greatest possible number that divides 8, 9, and 25 perfectly without any remainder is the HCF of 8, 9, and 25. The factors of 8, 9 and 25 are (1, 2, 4, 8), (1, 3, 9) and (1, 5, 25), respectively. Long division, prime factorisation, and listing common factors are the three regularly used methods for calculating the HCF of 8, 9, and 25.
Also read: Highest common factor
What is the HCF of 8, 9 and 25?
The answer to this question is 1. This article shows how to find the HCF of 8, 9 and 25 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, 9 and 25?
There are three methods to find the HCF of 8, 9 and 25:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 8, 9 and 25 by Prime Factorisation Method
The prime factorisation of 8, 9 and 25 is given by:
Prime factorisation of 8 = (2 × 2 × 2)
Prime factorisation of 9 = (3 × 3)
Prime factorisation of 25 = (5 × 5)
Hence, the HCF of 8, 9 and 25 is 1.
HCF (8, 9, 25) = 1
HCF of 8, 9 and 25 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing a long division repeatedly is HCF of 8, 9 and 25.
No further division can be done.
Hence, HCF (8, 9, 25) = 1
HCF of 8, 9 and 25 by Listing Common Factors
To calculate the HCF of 8, 9 and 25 by listing out the common factors, list the factors as shown below:
Factors of 8: 1, 2, 4, 8
Factors of 9: 1, 3, 9
Factors of 25: 1, 5, 25
Since 1 is the only common factor between 8, 9 and 25, the Highest Common Factor of 8, 9 and 25 is 1.
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HCF of 8, 9 and 25 Solved Example
Find the highest number that divides 8, 9, and 25 completely.
Solution:
The highest number that divides 8, 9, and 25 exactly is their highest common factor.
Factors of 8 = 1, 2, 4, 8
Factors of 9 = 1, 3, 9
Factors of 25 = 1, 5, 25
Hence, the HCF of 8, 9, and 25 is 1.
∴ The highest number that divides 8, 9, and 25 is 1.
Frequently Asked Questions on HCF of 8, 9 and 25
What is the HCF of 8, 9 and 25?
Which of the following numbers is HCF of 8, 9 and 25? 1, 57, 39, 37, 37, 70, 29, 43, 72
What are the methods to find HCF of 8, 9 and 25?
By Long Division
By Listing Common Factors
By Prime Factorisation
How to find the HCF of 8, 9 and 25 by Prime Factorization?
⇒ There is no common prime factor for 8, 9 and 25. Hence, HCF(8, 9, 25) = 1.
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