GCF that 8 and also 12 is the largest possible number that divides 8 and also 12 exactly without any type of remainder. The factors of 8 and 12 space 1, 2, 4, 8 and also 1, 2, 3, 4, 6, 12 respectively. There room 3 frequently used techniques to discover the GCF the 8 and also 12 - lengthy division, element factorization, and Euclidean algorithm.

You are watching: Common factors of 8 and 12

1.GCF of 8 and 12
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 8 and also 12 is 4.

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Explanation:

The GCF of 2 non-zero integers, x(8) and also y(12), is the greatest positive creature m(4) that divides both x(8) and also y(12) without any remainder.


The methods to find the GCF the 8 and also 12 are defined below.

Listing usual FactorsPrime factorization MethodLong division Method

GCF the 8 and 12 by Listing usual Factors

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Factors of 8: 1, 2, 4, 8Factors the 12: 1, 2, 3, 4, 6, 12

There are 3 typical factors of 8 and also 12, that room 1, 2, and also 4. Therefore, the greatest usual factor the 8 and 12 is 4.

GCF that 8 and also 12 by element Factorization

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Prime factorization of 8 and also 12 is (2 × 2 × 2) and (2 × 2 × 3) respectively. Together visible, 8 and also 12 have usual prime factors. Hence, the GCF that 8 and also 12 is 2 × 2 = 4.

GCF of 8 and also 12 by long Division

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GCF the 8 and also 12 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

Step 2: because the remainder ≠ 0, we will divide the divisor of action 1 (8) by the remainder (4).Step 3: Repeat this procedure until the remainder = 0.

The equivalent divisor (4) is the GCF the 8 and 12.

☛ likewise Check:


GCF of 8 and also 12 Examples


Example 1: The product of two numbers is 96. If your GCF is 4, what is their LCM?

Solution:

Given: GCF = 4 and also product of number = 96∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 96/4Therefore, the LCM is 24.


Example 2: find the GCF the 8 and 12, if your LCM is 24.

Solution:

∵ LCM × GCF = 8 × 12⇒ GCF(8, 12) = (8 × 12)/24 = 4Therefore, the greatest usual factor of 8 and 12 is 4.


Example 3: For 2 numbers, GCF = 4 and also LCM = 24. If one number is 8, find the other number.

Solution:

Given: GCF (y, 8) = 4 and LCM (y, 8) = 24∵ GCF × LCM = 8 × (y)⇒ y = (GCF × LCM)/8⇒ y = (4 × 24)/8⇒ y = 12Therefore, the other number is 12.


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FAQs top top GCF the 8 and 12

What is the GCF the 8 and also 12?

The GCF that 8 and also 12 is 4. To calculation the GCF that 8 and 12, we require to element each number (factors of 8 = 1, 2, 4, 8; factors of 12 = 1, 2, 3, 4, 6, 12) and choose the greatest factor that precisely divides both 8 and 12, i.e., 4.

What is the Relation in between LCM and also GCF the 8, 12?

The adhering to equation deserve to be used to express the relation between LCM and also GCF that 8 and also 12, i.e. GCF × LCM = 8 × 12.

How to find the GCF of 8 and also 12 through Long division Method?

To uncover the GCF of 8, 12 making use of long department method, 12 is divided by 8. The matching divisor (4) as soon as remainder amounts to 0 is taken together GCF.

What room the methods to discover GCF the 8 and also 12?

There space three generally used methods to uncover the GCF of 8 and also 12.

See more: Which Statement Describes How The Extradition Process Helps States Enforce Their Laws?

By long DivisionBy prime FactorizationBy Euclidean Algorithm

If the GCF the 12 and 8 is 4, find its LCM.

GCF(12, 8) × LCM(12, 8) = 12 × 8Since the GCF that 12 and also 8 = 4⇒ 4 × LCM(12, 8) = 96Therefore, LCM = 24☛ GCF Calculator

How to find the GCF that 8 and also 12 by element Factorization?

To find the GCF that 8 and 12, us will find the prime factorization that the provided numbers, i.e. 8 = 2 × 2 × 2; 12 = 2 × 2 × 3.⇒ because 2, 2 are usual terms in the element factorization the 8 and 12. Hence, GCF(8, 12) = 2 × 2 = 4☛ What is a element Number?