GCF the 6 and 8 is the largest feasible number the divides 6 and also 8 precisely without any kind of remainder. The components of 6 and also 8 are 1, 2, 3, 6 and also 1, 2, 4, 8 respectively. There room 3 frequently used methods to discover the GCF of 6 and 8 - prime factorization, Euclidean algorithm, and long division.

You are watching: What is the gcf of 6 and 8

1.GCF the 6 and also 8
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 6 and also 8 is 2.

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Explanation:

The GCF of two non-zero integers, x(6) and y(8), is the biggest positive integer m(2) that divides both x(6) and also y(8) without any type of remainder.


Let's look at the various methods for finding the GCF the 6 and 8.

Prime administer MethodListing usual FactorsLong division Method

GCF the 6 and also 8 by element Factorization

Prime administrate of 6 and also 8 is (2 × 3) and (2 × 2 × 2) respectively. Together visible, 6 and also 8 have only one typical prime variable i.e. 2. Hence, the GCF that 6 and 8 is 2.

GCF that 6 and 8 through Listing typical Factors

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

There space 2 typical factors of 6 and 8, that space 1 and also 2. Therefore, the greatest usual factor that 6 and also 8 is 2.

GCF of 6 and also 8 by lengthy Division

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GCF the 6 and 8 is the divisor that we get when the remainder becomes 0 after ~ doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of step 1 (6) through the remainder (2).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (2) is the GCF the 6 and also 8.

☛ also Check:


GCF that 6 and 8 Examples


Example 1: discover the GCF that 6 and 8, if your LCM is 24.

Solution:

∵ LCM × GCF = 6 × 8⇒ GCF(6, 8) = (6 × 8)/24 = 2Therefore, the greatest typical factor that 6 and also 8 is 2.


Example 2: For two numbers, GCF = 2 and also LCM = 24. If one number is 8, discover the other number.

Solution:

Given: GCF (y, 8) = 2 and also LCM (y, 8) = 24∵ GCF × LCM = 8 × (y)⇒ y = (GCF × LCM)/8⇒ y = (2 × 24)/8⇒ y = 6Therefore, the various other number is 6.


Example 3: discover the greatest number the divides 6 and also 8 exactly.

Solution:

The best number that divides 6 and also 8 exactly is your greatest usual factor, i.e. GCF the 6 and 8.⇒ factors of 6 and 8:

Factors the 6 = 1, 2, 3, 6Factors that 8 = 1, 2, 4, 8

Therefore, the GCF that 6 and 8 is 2.


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FAQs ~ above GCF of 6 and 8

What is the GCF that 6 and 8?

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

How to discover the GCF that 6 and 8 by prime Factorization?

To find the GCF the 6 and also 8, us will uncover the prime factorization of the offered numbers, i.e. 6 = 2 × 3; 8 = 2 × 2 × 2.⇒ since 2 is the only usual prime variable of 6 and also 8. Hence, GCF (6, 8) = 2.☛ What is a prime Number?

What is the Relation in between LCM and GCF of 6, 8?

The following equation deserve to be provided to refer the relation between Least common Multiple (LCM) and GCF that 6 and also 8, i.e. GCF × LCM = 6 × 8.

What room the techniques to uncover GCF that 6 and 8?

There space three typically used methods to uncover the GCF of 6 and 8.

By long DivisionBy Listing common FactorsBy element Factorization

If the GCF of 8 and also 6 is 2, uncover its LCM.

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GCF(8, 6) × LCM(8, 6) = 8 × 6Since the GCF the 8 and also 6 = 2⇒ 2 × LCM(8, 6) = 48Therefore, LCM = 24☛ GCF Calculator

How to discover the GCF the 6 and also 8 by Long division Method?

To discover the GCF that 6, 8 using long department method, 8 is split by 6. The matching divisor (2) once remainder equals 0 is taken together GCF.