GCF the 6 and 18 is the largest possible number the divides 6 and also 18 specifically without any kind of remainder. The factors of 6 and also 18 room 1, 2, 3, 6 and 1, 2, 3, 6, 9, 18 respectively. There are 3 commonly used techniques to uncover the GCF the 6 and also 18 - Euclidean algorithm, long division, and also prime factorization.

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1.GCF the 6 and 18
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 6 and 18 is 6.

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Explanation:

The GCF of two non-zero integers, x(6) and y(18), is the biggest positive essence m(6) the divides both x(6) and y(18) without any type of remainder.


The approaches to uncover the GCF that 6 and 18 are described below.

Long division MethodListing common FactorsPrime factorization Method

GCF that 6 and 18 by lengthy Division

GCF the 6 and 18 is the divisor that we get when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (6) is the GCF the 6 and also 18.

The matching divisor (6) is the GCF of 6 and also 18.

GCF of 6 and 18 through Listing typical Factors

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Factors the 6: 1, 2, 3, 6Factors the 18: 1, 2, 3, 6, 9, 18

There space 4 typical factors the 6 and also 18, that are 1, 2, 3, and also 6. Therefore, the greatest common factor of 6 and also 18 is 6.

GCF of 6 and also 18 by prime Factorization

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Prime factorization of 6 and also 18 is (2 × 3) and (2 × 3 × 3) respectively. Together visible, 6 and also 18 have common prime factors. Hence, the GCF that 6 and 18 is 2 × 3 = 6.

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GCF that 6 and also 18 Examples


Example 1: find the best number that divides 6 and also 18 exactly.

Solution:

The biggest number that divides 6 and also 18 precisely is their greatest typical factor, i.e. GCF the 6 and also 18.⇒ components of 6 and also 18:

Factors of 6 = 1, 2, 3, 6Factors that 18 = 1, 2, 3, 6, 9, 18

Therefore, the GCF that 6 and also 18 is 6.


Example 2: For two numbers, GCF = 6 and LCM = 18. If one number is 18, uncover the other number.

Solution:

Given: GCF (x, 18) = 6 and LCM (x, 18) = 18∵ GCF × LCM = 18 × (x)⇒ x = (GCF × LCM)/18⇒ x = (6 × 18)/18⇒ x = 6Therefore, the various other number is 6.


Example 3: find the GCF of 6 and also 18, if their LCM is 18.

Solution:

∵ LCM × GCF = 6 × 18⇒ GCF(6, 18) = (6 × 18)/18 = 6Therefore, the greatest common factor that 6 and 18 is 6.


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FAQs on GCF the 6 and also 18

What is the GCF the 6 and 18?

The GCF the 6 and 18 is 6. To calculation the greatest common factor (GCF) that 6 and 18, we require to variable each number (factors that 6 = 1, 2, 3, 6; factors of 18 = 1, 2, 3, 6, 9, 18) and choose the greatest variable that exactly divides both 6 and 18, i.e., 6.

How to find the GCF of 6 and also 18 by Long department Method?

To find the GCF of 6, 18 making use of long division method, 18 is split by 6. The matching divisor (6) once remainder amounts to 0 is taken as GCF.

How to find the GCF that 6 and 18 by element Factorization?

To discover the GCF that 6 and also 18, we will find the prime factorization the the offered numbers, i.e. 6 = 2 × 3; 18 = 2 × 3 × 3.⇒ due to the fact that 2, 3 are typical terms in the element factorization the 6 and also 18. Hence, GCF(6, 18) = 2 × 3 = 6☛ element Numbers

What is the Relation in between LCM and GCF the 6, 18?

The complying with equation have the right to be used to to express the relation in between LCM and GCF the 6 and also 18, i.e. GCF × LCM = 6 × 18.

If the GCF of 18 and 6 is 6, discover its LCM.

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GCF(18, 6) × LCM(18, 6) = 18 × 6Since the GCF of 18 and 6 = 6⇒ 6 × LCM(18, 6) = 108Therefore, LCM = 18☛ GCF Calculator

What room the techniques to find GCF that 6 and also 18?

There room three generally used methods to uncover the GCF the 6 and 18.