The HCF of 726 and 275 is 11. The greatest number that can divide 726 and 275 perfectly without leaving a remainder is the HCF of 726 and 275. 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, and 1, 5, 11, 25, 55, 275, respectively, are the factors of 726 and 275. The listing common factors, prime factorisation, and long division are the three most frequent methods used for calculating the HCF of 726 and 275.
Also read: Highest common factor
What is the HCF of 726 and 275?
The answer to this question is 11. This article shows how to find the HCF of 726 and 275 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 726 and 275?
There are three methods to find the HCF of 726 and 275:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 726 and 275 by Prime Factorisation Method
The prime factorisation of 726 and 275 is given by:
Prime factorisation of 726 = (2 × 3 × 11 × 11)
Prime factorisation of 275 = (5 × 5 × 11)
Hence, the HCF of 726 and 275 is 11.
HCF (726, 275) = 11
HCF of 726 and 275 by Long Division Method
The divisor that we get when the remainder is 0 after doing long division repeatedly is the HCF of 726 and 275.
No further division can be done.
Hence, HCF (726, 275) = 11
HCF of 726 and 275 by Listing Common Factors
To calculate the HCF of 726 and 275 by listing common factors, list the factors as shown below:
Factors of 726 = 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Factors of 275 = 1, 5, 11, 25, 55, 275
Therefore, the HCF of 726 and 275 is 11.
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Video Lesson on Properties of HCF and LCM
HCF of 726 and 275 Solved Example
Find the highest number that divides 726 and 275 exactly.
Solution:
The highest number that divides 726 and 275 exactly is their Highest Common Factor .i.e HCF of 726 and 275.
⇒ Factors of 726 and 275:
Factors of 726 = 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Factors of 275 = 1, 5, 11, 25, 55, 275
Therefore, the HCF of 726 and 275 is 11.
Frequently Asked Questions on HCF of 726 and 275
What is the HCF of 726 and 275?
How to find the HCF of 726 and 275 by prime factorisation?
⇒ 11 is the only common prime factor of 726 and 275. Hence, HCF (726, 275) = 11.
What are the methods to find the HCF of 726 and 275?
Long Division
Listing Common Factors
Prime Factorisation
How to find the HCF of 726 and 275 by long division method?
If the HCF of 275 and 726 is 11, find its LCM.
The HCF of 275 and 726 = 11
⇒ 11 × LCM(275, 726) = 199650
Therefore, LCM = 18150
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