HCF of 26 and 91 is 13. The greatest integer that can divide the numbers 26 and 91 exactly is the HCF value. The factors of 26 are 1, 2, 13, and 26, and the factors of 91 are 1, 7, 13, and 91. To determine the HCF value, we can make use of the prime factorisation method, long division method and by listing the common factors.
What is the HCF of 26 and 91?
The answer to this question is 13. The HCF of 26 and 91 using various methods is shown in this article for your reference. The HCF of 26 and 91 is 13, which divides both 26 and 91 exactly.
Also read: Highest common factor
How to Find HCF of 26 and 91?
There are three methods to find the HCF of 26 and 91
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 26 and 91 by Prime Factorisation Method
The prime factorisation of 26 and 91 is given by:
26 = 2 × 13
91 = 7 × 13
Common prime factors of 26 and 91 are 13
Hence, HCF (26, 91) = 13
HCF of 26 and 91 by Long Division Method
The numbers (26, 91) are divided by their prime factors to obtain the HCF of 26 and 91 using the division method. The HCF of 26 and 91 is the divisor we get when the remainder becomes zero after repeated long division.
No further division can be done.
Hence, HCF (26, 91) = 13
HCF of 26 and 91 by Listing the Factors
To find the HCF of 26 and 91 by listing the common factors, write down the factors as given below:
Factors of 26: 1, 2, 13, 26
Factors of 91: 1, 7, 13, 91
There are 2 common factors of 26 and 91, and they are 1 and 13.
Therefore, the highest common factor of 26 and 91 is 13.
Related Articles
- Prime Factorization 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 26 and 91 Solved Example
Question: If the product of two numbers = 2366 and HCF = 13, find the LCM.
Solution:
Given
Product of two numbers = 2366
HCF = 13
HCF × LCM = Product of two numbers
13 × LCM = 2366
LCM = 2366/13
LCM = 182
Hence, the LCM is 182.
Frequently Asked Questions on HCF of 26 and 91
Calculate the HCF of 26 and 91 if the LCM is 182.
Given
LCM = 182
LCM × HCF = 26 × 91
HCF = (26 × 91)/ 182
HCF = 13
Find the HCF of 26 and 91 by long division method.
List the methods used to find HCF of 26 and 91.
What is the HCF of 26 and 91?
Write the relation between HCF and LCM of 26 and 91.
The relation between HCF and LCM of 26 and 91 is
HCF × LCM = 26 × 91
HCF × LCM = 2366
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