GCF of 8 and also 12 is the largest possible number that divides 8 and also 12 exactly without any kind of remainder. The components of 8 and 12 are 1, 2, 4, 8 and also 1, 2, 3, 4, 6, 12 respectively. There are 3 generally used techniques to uncover the GCF the 8 and also 12 - lengthy division, element factorization, and also Euclidean algorithm.

You are watching: What is the greatest common factor of 8 and 12

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

Answer: GCF of 8 and 12 is 4.

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Explanation:

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


The methods to discover the GCF that 8 and also 12 are explained below.

Listing typical FactorsPrime administer MethodLong division Method

GCF the 8 and also 12 by Listing usual Factors

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

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

GCF of 8 and also 12 by prime Factorization

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

GCF the 8 and also 12 by long Division

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GCF the 8 and 12 is the divisor the we get when the remainder i do not care 0 after ~ doing long division repeatedly.

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

The corresponding divisor (4) is the GCF that 8 and also 12.

☛ likewise Check:


GCF of 8 and 12 Examples


Example 1: The product of 2 numbers is 96. If your GCF is 4, what is their LCM?

Solution:

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


Example 2: discover 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 that 8 and also 12 is 4.


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

Solution:

Given: GCF (y, 8) = 4 and also 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 on GCF of 8 and 12

What is the GCF that 8 and 12?

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

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

The adhering to equation have the right to be offered to to express the relation in between LCM and also GCF of 8 and 12, i.e. GCF × LCM = 8 × 12.

How to uncover the GCF the 8 and 12 through Long department Method?

To uncover the GCF of 8, 12 using long division method, 12 is separated by 8. The equivalent divisor (4) as soon as remainder amounts to 0 is taken together GCF.

What are the approaches to find GCF of 8 and 12?

There space three typically used methods to find the GCF the 8 and also 12.

See more: With All My Heart In Italian, Thanks From The Bottom Of My Heart In Italian

By long DivisionBy element FactorizationBy Euclidean Algorithm

If the GCF that 12 and also 8 is 4, uncover 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 12 by prime Factorization?

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