The Highest Common Factor (HCF) of 8, 9, and 25 is 1. The HCF is the largest number that can divide these three numbers without leaving any remainder. The factors of 8, 9, and 25 are (1, 2, 4, 8), (1, 3, 9) and (1, 5, 25) respectively. The HCF can be calculated using three commonly used methods: Long Division, Prime Factorisation, and Listing Common Factors.
Also read: Highest common factor
The HCF of these three numbers is 1, as demonstrated in this article. The Highest Common Factor (HCF) of any given numbers is the largest of their common factors.
We can calculate the HCF of 8, 9, and 25 using the following methods:
The prime factorisation of 8, 9, and 25 is:
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, since there are no common prime factors.
HCF (8, 9, 25) = 1
The HCF of 8, 9, and 25 is the divisor that we get when the remainder becomes 0 after performing long division repeatedly.
No further division can be done. Hence, HCF (8, 9, 25) = 1.
To calculate the HCF by listing the common factors, we list the factors of 8, 9, and 25 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 among 8, 9, and 25, the Highest Common Factor of these numbers is 1.
Let's find the highest number that can divide 8, 9, and 25 without leaving any remainder.
Solution:
The highest number that can divide 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 can divide 8, 9, and 25 is 1.
What is the HCF of 8, 9 and 25?
The HCF of 8, 9 and 25 is 1. To calculate the HCF (Highest Common Factor) of 8, 9 and 25, we need to factor each number (factors of 8 = 1, 2, 4, 8; factors of 9 = 1, 3, 9; factors of 25 = 1, 5, 25) and choose the highest factor that exactly divides 8, 9 and 25, i.e. 1.
Which of the following numbers is HCF of 8, 9 and 25? 1, 57, 39, 37, 37, 70, 29, 43, 72
HCF of 8, 9, 25 will be the number that divides 8, 9, and 25 without leaving any remainder. The only number among the giving numbers that satisfies this condition is 1.
What are the methods to find HCF of 8, 9 and 25?
There are three commonly used methods to find the 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?
To find the HCF of 8, 9 and 25, we will find the prime factorization of given numbers, i.e. 8 = 2 × 2 × 2; 9 = 3 × 3; 25 = 5 × 5. ⇒ There is no common prime factor for 8, 9 and 25. Hence, HCF(8, 9, 25) = 1.
What is the relation between LCM and HCF of 8, 9 and 25?
The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF of 8, 9 and 25, i.e. HCF(8, 9, 25) = [(8 × 9 × 25) × LCM(8, 9, 25)]/[LCM(8, 9) × LCM (9, 25) × LCM(8, 25)].