What Is 8 Of 12

The HCF of 8 and 12 is iv. The Highest Common Factor of ii or more numbers is defined as the largest positive integer that divides the numbers without leaving a residuum. In the given set of numbers 8 and 12, 4 is the Greatest Mutual Factor (GCF) that divides both viii and 12. Thus, we tin can say the Highest Mutual Cistron of 8 and 12 is four. To learn more well-nigh Highest Mutual Factor (HCF), refer to the article HCF designed by BYJU'S experts. Let us sympathize the unproblematic steps of how to find the Highest Common Factor of eight and 12 in detail in this article.

What is the HCF of 8 and 12?

The Highest Common Factor of 8 and 12 is 4. The numbers one, ii, and 4 are the three mutual factors of 8 and 12. Therefore the Highest Common Factor of 8 and 12 is four.

How to Find HCF of 8 and 12?

There are iii methods to find the HCF of 8 and 12:

• Prime Factorisation
• Long Division method
• Listing mutual factors

HCF of 8 and 12 past Prime Factorisation Method

In the prime factorisation, to find the HCF, we express the given numbers as the product of prime number factors. Hence, 8 and 12 tin be expressed as;

8 = 2 × 2 × 2

12 = 2 × 2 × 3

Common prime factors of eight and 12 are ii and ii.

Therefore, HCF (8, 12) = 2 × 2 = 4

HCF of 8 and 12 by Long Division Method

The following steps are used to observe the Highest Mutual Gene of eight and 12:

Pace ane: Separate the largest number by the smallest number from the given two numbers.

Step two: At present, bank check the residuum. If it is non 0, then make it a new divisor and write the previous divisor as the new dividend. Then perform the division.

Stride iii: Continue this procedure until we become the remainder as zero. The final divisor will be the HCF of the given two numbers.

The Highest Common Factor of eight and 12 by the long division method is;

HCF (8, 12) = 4

HCF of 8 and 12 by Listing the Factors

Here, we list out the mutual factors of viii and 12 to discover their HCF. The factors of viii and 12 are as follows:

Factors of 8: 1, 2, 4, 8

Factors of 12: one, 2, 3, 4, half-dozen, 12

Therefore, HCF (eight, 12) = 4

Related Articles

• Highest Common Factor
• HCF of Two Numbers
• GCF
• HCF and LCM
• GCF Computer

Video Lesson on Properties of HCF and LCM

Solved Example

Question: What is the HCF of viii and 12 if their LCM is 24?

Solution: Given

LCM = 24

We know that

LCM × HCF = 8 × 12

HCF (viii, 12) = (8 × 12)/LCM

HCF (8, 12) = (8 × 12)/24

HCF (viii, 12) = 4

Hence the Highest Common Factor of viii and 12 is 4.

Frequently Asked Questions on HCF of 8 and 12

What is the HCF of eight and 12?

The HCF of 8 and 12 is iv.

What are the common factors of viii and 12?

1, 2 and iv are the common factors of viii and 12.

Name the methods used to find the HCF of eight and 12.

The methods used to observe the HCF of 8 and 12 are equally follows:

Prime Factorisation

Long Sectionalisation method

List mutual factors

Write the relation between LCM and HCF of 8 and 12.

The below equation is used to denote the relation between LCM and HCF of 8 and 12

HCF × LCM = 8 × 12

Is the HCF of 8 and 12 and the HCF of 4 and 12 are same?

Yes. The HCF of 8 and 12 is 4 and the HCF of 4 and 12 is also 4.

What Is 8 Of 12,

Source: https://byjus.com/maths/hcf-of-8-and-12/

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