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

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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 two non-zero integers, x(8) and also y(12), is the greatest positive integer m(4) that divides both x(8) and also y(12) without any remainder.


The techniques to find the GCF of 8 and also 12 are described below.

Listing common FactorsPrime administer MethodLong department Method

GCF of 8 and 12 by Listing typical Factors

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

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

GCF the 8 and 12 by prime Factorization

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

GCF the 8 and also 12 by long Division

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

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

The matching divisor (4) is the GCF of 8 and also 12.

☛ additionally Check:


GCF of 8 and 12 Examples


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

Solution:

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


Example 2: find the GCF the 8 and also 12, if their 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, discover 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 of 8 and 12

What is the GCF that 8 and also 12?

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

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

The complying with equation deserve to be offered to refer the relation in between LCM and also GCF that 8 and also 12, i.e. GCF × LCM = 8 × 12.

How to find the GCF the 8 and 12 by Long department Method?

To find the GCF the 8, 12 utilizing long division method, 12 is separated by 8. The matching divisor (4) as soon as remainder equates to 0 is taken as GCF.

What space the techniques to uncover GCF the 8 and 12?

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

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By long DivisionBy prime FactorizationBy Euclidean Algorithm

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

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

How to find the GCF the 8 and 12 by prime Factorization?

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