The HCF of 106, 159 and 265 is 53. The given numbers 106, 159 and 265 are exactly divisible by the HCF. The factors of 106 are 1, 2, 53, 106, the factors of 159 are 1, 3, 53, 159, and the factors of 265 are 1, 5, 53, 265. The methods to obtain the HCF are prime factorisation, long division and listing common factors. The experienced faculty prepared this article after good research to increase the knowledge of fundamentals among students.
Also read: Highest common factor
What is the HCF of 106, 159 and 265?
The answer to this question is 53. Using three different methods, the HCF of 106, 159 and 265 can be calculated. The HCF of 106, 159 and 265 is 53, which divides the given numbers exactly.
How to Find HCF of 106, 159 and 265?
The methods to get the HCF of 106, 159 and 265 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 106, 159 and 265 by Prime Factorisation Method
The prime factorisation of 106, 159 and 265 is:
106 = 2 × 53
159 = 3 × 53
265 = 5 × 53
Common prime factor of 106, 159 and 265 = 53
Hence, HCF (106, 159, 265) = 53
HCF of 106, 159 and 265 by Long Division Method
Let us divide (106, 159, 265) by the factors to get the HCF of 106, 159 and 265. The divisor in the long division when the remainder is zero is the HCF.
First, let us divide 159 by 106.
Again divide 265 by the HCF 53.
No further division can be done.
Hence, HCF (106, 159, 265) = 53
HCF of 106, 159 and 265 by Listing Common Factors
The HCF of 106, 159 and 265 by listing common factors is shown here:
Factors of 106: 1, 2, 53, 106
Factors of 159: 1, 3, 53, 159
Factors of 265: 1, 5, 53, 265
There are 2 common factors of 106, 159 and 265, and they are 1 and 53.
Therefore, the highest common factor of 106, 159 and 265 is 53.
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Video Lesson on Properties of HCF and LCM
HCF of 106, 159 and 265 Solved Example
Question: Find the HCF of 106, 159 and 265 from the numbers 273, 53, 270, 304 and 275.
Solution:
The HCF value is the number which divides 106, 159 and 265 evenly.
The number which satisfies this condition is 53.
Hence, the HCF is 53.
Frequently Asked Questions on HCF of 106, 159 and 265
What is the HCF of 106, 159 and 265?
Using the prime factorisation method, find the HCF of 106, 159 and 265.
Using the prime factorisation method:
106 = 2 × 53
159 = 3 × 53
265 = 5 × 53
Hence, the HCF is 53.
What methods can be used to find HCF of 106, 159 and 265?
Find the LCM if the HCF is 53 and the product of three numbers is 1183572150.
Given
HCF = 53
Product = 1183572150
HCF × LCM = Product
LCM = 1183572150/53
LCM = 22331550
Mention the relation between HCF and LCM of 106, 159 and 265.
The relation between HCF and LCM of 106, 159 and 265 is:
HCF × LCM = 105 × 159 × 265
HCF × LCM = 1183572150
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