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

You are watching: Greatest common factor of 8 and 12

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

Answer: GCF that 8 and also 12 is 4.

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Explanation:

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


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

Listing usual FactorsPrime administer MethodLong department Method

GCF that 8 and 12 through Listing common Factors

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

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

GCF of 8 and 12 by prime Factorization

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

GCF the 8 and also 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 department repeatedly.

Step 2: since 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 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 number = 96∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 96/4Therefore, the LCM is 24.


Example 2: find 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 common factor of 8 and also 12 is 4.


Example 3: For two numbers, GCF = 4 and also 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 top top GCF that 8 and also 12

What is the GCF that 8 and 12?

The GCF that 8 and also 12 is 4. To calculate the GCF the 8 and also 12, we need to variable 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 the 8, 12?

The following equation can be used to express the relation between LCM and GCF of 8 and 12, i.e. GCF × LCM = 8 × 12.

How to uncover the GCF that 8 and also 12 by Long department Method?

To find the GCF of 8, 12 making use of long department method, 12 is divided by 8. The equivalent divisor (4) as soon as remainder equates to 0 is taken together GCF.

What are the methods to discover GCF that 8 and also 12?

There room three generally used methods to discover the GCF that 8 and 12.

See more: Which Of The Following Is True Of Clan Control? ? Which Of The Following Is True About Clan Control

By long DivisionBy element FactorizationBy Euclidean Algorithm

If the GCF of 12 and also 8 is 4, find its LCM.

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

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

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