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

You are watching: Highest 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 also 12 is 4.

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Explanation:

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


The approaches to find the GCF of 8 and 12 are defined below.

Listing usual FactorsPrime administer MethodLong department Method

GCF that 8 and also 12 through Listing typical Factors

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

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

GCF the 8 and also 12 by element Factorization

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

GCF the 8 and 12 by lengthy Division

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GCF of 8 and 12 is the divisor the we obtain when the remainder becomes 0 ~ doing long department 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 corresponding divisor (4) is the GCF that 8 and 12.

☛ also Check:


GCF the 8 and 12 Examples


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

Solution:

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


Example 2: uncover the GCF of 8 and also 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 12 is 4.


Example 3: For 2 numbers, GCF = 4 and LCM = 24. If one number is 8, find the 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 various other number is 12.


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FAQs top top GCF that 8 and 12

What is the GCF of 8 and 12?

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

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

The adhering to equation can be provided to refer the relation in between LCM and also GCF that 8 and 12, i.e. GCF × LCM = 8 × 12.

How to discover the GCF that 8 and also 12 by Long division Method?

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

What space the approaches to discover GCF of 8 and 12?

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

See more: Greatest 5 Digit Number Without Repeating Any Digit, What Is The Largest 5

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 8 = 4⇒ 4 × LCM(12, 8) = 96Therefore, LCM = 24☛ GCF Calculator

How to discover the GCF of 8 and 12 by element Factorization?

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