The HCF of 8 and 12 is 4. This is the highest common factor of the given numbers 8 and 12. Because 4 can divide them completely.

In this question for finding the HCF of 8 And 12, 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 And 12

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

## HCF of Keyword 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 and 12 by the Prime factorization method we have to do the prime factors of these given numbers.

Prime Factors of 8 and 12 are as follow:

8 = 2X2X2

12 = 2X2X3

Here we can see the common factors are 2X2 = 4.

Hence the HCF of 8 and 12 is 4.

## HCF of 8 And 12 By Listing Common Multiples

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

Multiples of 8 and 12 are as follow:

8 = 1, 2, 4

12 = 1, 2, 3, 4, 6

Here we can see the Highest or greatest divisor of the numbers 8 and 12 is 4.

So, the HCF of 8 and 12 is 4 by listing common multiple methods.

## HCF of 8 And 12 By Long Division Methods

For finding the HCF of 8 And 12 by the Long division method, we have to follow the following steps:

- Divide the higher number with the lower one.
- check reminder and now divide first number with reminder.
- Now again check the reminder and divide the first reminder.
- 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 And 12, 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:

In our question, we have two numbers 8 and 12.

In this, we will divide 12 by 8 in our first step.

On dividing, we get 8 reminders. Now again divide 8 by 4.

Now 8 is completely divided by 4 and reminder is 0.

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

Hence 4 is the HCF of 8 and 12.

## 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 and 12 by Listing Common Multiple

HCF of 8 and 12 by Listing common multiple is 4. Check details in the above post.

### Find the HCF of 8 and 12 by Prime Factorization Method

HCF of 8 and 12 by Prime Factorization is 4. Check details in the above post.

### Find the HCF of 8 and 12 by Long Division Method

HCF of 8 and 12 by Llong Division Method is 4. Check details in the above post.

I hope you like the solution. If still, you have some doubts, then please do comments. We will provide you the best solution.

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