GCF of 8 and also 12 is the largest feasible number that divides 8 and 12 exactly without any kind of remainder. The factors of 8 and 12 space 1, 2, 4, 8 and 1, 2, 3, 4, 6, 12 respectively. There space 3 commonly used methods to discover the GCF the 8 and 12 - long division, prime factorization, and also Euclidean algorithm.

You are watching: Greatest common factor of 8 and 12

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

Answer: GCF the 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) the divides both x(8) and y(12) without any type of remainder.


The techniques to discover the GCF that 8 and 12 are defined below.

Listing common FactorsPrime administer MethodLong department Method

GCF of 8 and also 12 through Listing common Factors

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

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

GCF the 8 and 12 by prime Factorization

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

GCF that 8 and 12 by lengthy Division

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

Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of step 1 (8) by the remainder (4).Step 3: Repeat this procedure until the remainder = 0.

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

☛ also Check:


GCF that 8 and also 12 Examples


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

Solution:

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


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

Solution:

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


Example 3: For two numbers, GCF = 4 and also LCM = 24. If one number is 8, uncover the various 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 on GCF that 8 and 12

What is the GCF that 8 and also 12?

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

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

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

How to discover the GCF of 8 and also 12 through Long department Method?

To uncover the GCF of 8, 12 using long division method, 12 is split by 8. The corresponding divisor (4) as soon as remainder equals 0 is taken as GCF.

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

There space three frequently used techniques to uncover the GCF of 8 and 12.

See more: How Many Grams Does A Quarter Weigh, How Much Does A Quarter Weigh

By long DivisionBy prime FactorizationBy Euclidean Algorithm

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

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