26 और 91 को HCF होगा - 26 aur 91 ko hchf hoga

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26 और 91 का एचसीएफ और एलसीएम क्या है 26 और 91 का एचसीएफ 13 और एलसीएम 182 होगा

26 aur 91 ka hcf aur LCM kya hai 26 aur 91 ka hcf 13 aur LCM 182 hoga

26 और 91 का एचसीएफ और एलसीएम क्या है 26 और 91 का एचसीएफ 13 और एलसीएम 182 होगा

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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