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

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

Answer: GCF that 8 and 12 is 4.

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Explanation:

The GCF of 2 non-zero integers, x(8) and also y(12), is the biggest positive creature 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 also 12 are explained below.

Listing typical FactorsPrime factorization MethodLong division Method

GCF the 8 and also 12 through Listing usual Factors

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

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

GCF that 8 and 12 by prime Factorization

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

GCF that 8 and also 12 by long Division

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

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

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

☛ additionally Check:


GCF that 8 and also 12 Examples


Example 1: The product of two 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 of numbers⇒ LCM = Product/GCF = 96/4Therefore, the LCM is 24.


Example 2: find the GCF that 8 and also 12, if their LCM is 24.

Solution:

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


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


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FAQs ~ above GCF of 8 and also 12

What is the GCF the 8 and 12?

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

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

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

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

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

What room the techniques to discover GCF that 8 and 12?

There room three frequently used approaches to uncover the GCF of 8 and 12.

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By lengthy DivisionBy element FactorizationBy Euclidean Algorithm

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

To find the GCF that 8 and 12, us will find the element factorization of 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?