The HCF of 8 18 26 is 2. This is the highest common factor of the given numbers 8, 18, and 26. Because 2 can divide them completely without reminder. 2 Is the greatest common factor.

In this question for finding the HCF of 8, 18, 26, we will use the prime factorization method, long division method, and listing common multiple methods.

All processes are given with step by step check below:

## Methods For Finding The HCF of 8 18 26

- By Prime Factorization Method
- By Listing Common Multiple
- By Long Division Method

## HCF of 8 18 26 By Prime Factorization Method

Prime factorization is a process in which a number can be divided into multiple prime numbers ( These numbers are the smallest divisor of given numbers).

For finding the HCF of 8 18 26 by the Prime factorization method we have to do the prime factors of these given numbers.

Prime Factors of 8 18 26 are as follow:

8 = 2X2X2

18 = 2X3X3

26 = 2X13

Here we can see the common factors are 2.

Hence the HCF of 8 18 26 is 2.

## HCF of 8 18 26 By Listing Common Multiples

For finding the HCF of 8 18 26 by Listing Common Multiple, we have to find all multiples of the given numbers.

Multiples are the lowest numbers that can divide the given numbers completely.

For finding the HCF of 8 18 26 by listing Common Multiple, We will find the multiples of 8 and 12.

Multiples of 8 18 26 are as follow:

8 = 1, 2, 4

18 = 1, 2, 3, 6, 9

26 = 1, 2, 13

Here we can see the Highest or greatest divisor of the numbers 8 18 26 is 2.

So, the HCF of 8 18 26 is 2 by listing common multiple methods.

## HCF of 8 18 26 By Long Division Methods

For finding the HCF of 8 18 26 by the Long division method, we have to follow the following steps:

- Divide the higher number with the second higher one.
- check reminder and now divide second higher number with reminder.
- Now again check the reminder and pepeat the process.
- Repeat this process untill you get ZERO (0) reminder.
- Once the reminder is zero divisor will be the HCF of given number.

In this question for finding the HCF of 8 18 26, we will use the long division method.

All processes are given with step by step check below:

In our question, we have three numbers 8 18 26. So, we will take the two highest numbers 18 and 26.

**Step 1** In this, we will divide 26 by 18. by doing this our reminder is 8.

Step 2. Now we will divide 18 by 8. On dividing, we get reminder 2.

Step 3. Now divide 8 by 2. Finally, the remainder is zero.

So, as per the rule, the last divisor is HCF.

Hence 2 is the HCF of 8 18 26.

## FAQs

This question can be asked in many ways in the exam. But you do not need to panic at all, we have provided you the solution of all types of methods.

Mostly you may get to see this question in the exam like this:

### Find the HCF of 8 18 26 by Listing Common Multiple

HCF of 8 and 12 by Listing common multiple is 2. Check details in the above post.

### Find the HCF of 8 18 26 by Prime Factorization Method

HCF of 8 and 12 by Prime Factorization is 2. Check details in the above post.

### Find the HCF of 8 18 26 by Long Division Method

HCF of 8 and 12 by Llong Division Method is 2. Check details in the above post.

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