The HCF of 609 and 957 is 87. The integer value, which divides 609 and 957 exactly, is the HCF. The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609 and the factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957. The methods we can use to get the HCF value are prime factorisation, long division and listing common factors.
Also read: Highest common factor
What is the HCF of 609 and 957?
The answer to this question is 87. Using three methods, the HCF of 609 and 957 is calculated here. The HCF of 609 and 957 is 87, which divides the three numbers exactly.
How to Find HCF of 609 and 957?
The methods to find the HCF of 609 and 957 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 609 and 957 by Prime Factorisation Method
The prime factorisation of 609 and 957 is given by:
609 = 3 × 7 × 29
957 = 3 × 11 × 29
Common prime factors of 609 and 957 = 3, 29
Hence, HCF (609, 957) = 3 × 29 = 87
HCF of 609 and 957 by Long Division Method
Let us divide 609 and 957 by the prime factors to find the HCF of 609 and 957. The divisor in the long division, when the remainder is zero, is the HCF value.
No further division can be done.
Hence, HCF (609, 957) = 87
HCF of 609 and 957 by Listing the Factors
The HCF of 609 and 957 is shown below by listing out the common factors:
Factors of 609: 1, 3, 7, 21, 29, 87, 203, 609
Factors of 957: 1, 3, 11, 29, 33, 87, 319, 957
There are 4 common factors of 609 and 957, and they are 1, 3, 29 and 87.
Therefore, the highest common factor of 609 and 957 is 87.
Related Articles
- Prime Factorisation Calculator
- Properties of HCF and LCM
- Prime Factorisation and Division Method for HCF and LCM
- Prime Factorisation
- GCD Calculator
Video Lesson on Properties of HCF and LCM
HCF of 609 and 957 Solved Example
Question: In the numbers 123, 70, 175, 87, 150, 121, 153, find the HCF of 609 and 957.
Solution:
HCF of 609 and 957 is the number which divides 609 and 957, with the remainder as zero. The number which satisfies this condition is 87.
Hence, the HCF is 87.
Frequently Asked Questions on HCF of 609 and 957.
What is the HCF of 609 and 957?
Using the prime factorisation method, find the HCF of 609 and 957.
Using the prime factorisation method,
609 = 3 × 7 × 29
957 = 3 × 11 × 29
HCF = 3 × 29 = 87
Hence, the HCF is 87.
What methods can be used to find HCF of 609 and 957?
Find the HCF of 609 and 957 if the LCM is 6699.
We know that
LCM × HCF = 609 × 957
HCF = (609 × 957)/6699
HCF = 87
Mention the relation between HCF and LCM of 609 and 957.
The relation between HCF and LCM of 609 and 957 is
HCF × LCM = 609 × 957
HCF × LCM = 582813
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