GCF the 6 and also 18 is the largest possible number that divides 6 and also 18 specifically without any kind of remainder. The components of 6 and 18 room 1, 2, 3, 6 and also 1, 2, 3, 6, 9, 18 respectively. There space 3 typically used techniques to find the GCF of 6 and also 18 - Euclidean algorithm, lengthy division, and prime factorization.

You are watching: Greatest common factor of 6 and 18

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

Answer: GCF of 6 and 18 is 6.

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Explanation:

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


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

Long department MethodListing common FactorsPrime administrate Method

GCF the 6 and also 18 by long Division

GCF of 6 and also 18 is the divisor that we acquire when the remainder i do not care 0 after ~ doing long division repeatedly.

Step 2: because the remainder = 0, the divisor (6) is the GCF of 6 and also 18.

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

GCF of 6 and 18 through Listing usual Factors

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

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

GCF that 6 and also 18 by element Factorization

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

☛ additionally Check:


GCF of 6 and also 18 Examples


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

Solution:

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

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

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


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

Solution:

Given: GCF (x, 18) = 6 and also 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: discover the GCF that 6 and 18, if their LCM is 18.

Solution:

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


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FAQs ~ above GCF the 6 and also 18

What is the GCF that 6 and also 18?

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

How to uncover the GCF that 6 and 18 through Long department Method?

To discover the GCF the 6, 18 using long department method, 18 is divided by 6. The matching divisor (6) once remainder equates to 0 is taken as GCF.

How to uncover the GCF that 6 and 18 by prime Factorization?

To find the GCF of 6 and also 18, we will find the element factorization of the offered numbers, i.e. 6 = 2 × 3; 18 = 2 × 3 × 3.⇒ because 2, 3 are common terms in the prime factorization of 6 and 18. Hence, GCF(6, 18) = 2 × 3 = 6☛ element Numbers

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

The following equation have the right to be offered to to express the relation between LCM and GCF the 6 and 18, i.e. GCF × LCM = 6 × 18.

If the GCF of 18 and also 6 is 6, find 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 space the techniques to uncover GCF the 6 and also 18?

There room three frequently used approaches to uncover the GCF that 6 and also 18.