How to Find HCF of 8, 9, and 25?
We can find the HCF of 8, 9, and 25 using the following three methods:
- Listing Factors
- Prime Factorization
- Long Division
HCF of 8, 9, and 25 using Listing Factors
In this method, we list all the factors of all the numbers and select the number that is common and the largest factor.
⇒ Factors of 8 are 1, 2, 4, 8
⇒ Factors of 9 are 1, 3, 9
⇒ Factors of 25 are 1, 5, 25
Ast the only factor common for all the given numbers is 1. Hence, the HCF of 8, 9 and 25 is 1.
HCF of 8, 9 and 25 by Prime Factorization
In Prime factorization method we represent each number as the product of two prime factors. Once we have listed all the numbers we then try to find the factors that are common in all the above-mentioned numbers prime factors. The product of all such prime factors is the HCF of the numbers.
Prime Factorization of 8 = 2 × 2 × 2
Prime Factorization of 9 = 3 × 3
Prime Factorization of 25 = 5 × 5
As there are no common prime factors between 8, 9, 25. Hence, the HCF of 8, 9, 25 is 1.
HCF of 8, 9 and 25 by Long Division method
In this method, we can find the HCF of the first 2 numbers with division method and then the HCF of the produced result with the third number. This will give you the result of the HCF of all the 3 numbers.
In long division method we first calculate the HCF of 9 and 25.
- 25 ÷ 9 ⇒ Q = 2, R = 7
- 9 ÷ 7 ⇒ Q = 1, R = 2
- 7 ÷ 2 ⇒ Q = 3, R = 1
- 2 ÷ 1 ⇒ Q = 2, R = 0
Hence, HCF of 9 and 25 is 1
Now, we will find HCF of 1 and 8
- 8 ÷ 1 ⇒ Q = 8, R = 0
Hence, HCF of 1 and 8 is 1
Thus, HCF of 8, 9 and 25 = HCF (HCF of 9 and 25) and 8 = 1
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