GCF of 6 and 18 is the largest possible number that divides 6 and also 18 exactly without any kind of remainder. The factors of 6 and 18 room 1, 2, 3, 6 and 1, 2, 3, 6, 9, 18 respectively. There space 3 generally used approaches to uncover the GCF that 6 and 18 - Euclidean algorithm, lengthy division, and also prime factorization.

You are watching: Common factors of 6 and 18

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

Answer: GCF of 6 and also 18 is 6.

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Explanation:

The GCF of 2 non-zero integers, x(6) and y(18), is the biggest positive integer m(6) that divides both x(6) and also y(18) without any kind of remainder.


The techniques to discover the GCF of 6 and 18 are explained below.

Long department MethodListing typical FactorsPrime administer Method

GCF of 6 and also 18 by lengthy Division

GCF the 6 and 18 is the divisor the we gain when the remainder i do not care 0 after doing long division repeatedly.

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

The equivalent divisor (6) is the GCF the 6 and 18.

GCF of 6 and 18 through Listing typical Factors

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

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

GCF of 6 and 18 by prime Factorization

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Prime administrate of 6 and 18 is (2 × 3) and (2 × 3 × 3) respectively. As visible, 6 and 18 have usual prime factors. Hence, the GCF of 6 and 18 is 2 × 3 = 6.

☛ also Check:


GCF the 6 and 18 Examples


Example 1: uncover the greatest number the divides 6 and also 18 exactly.

Solution:

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

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

Therefore, the GCF of 6 and 18 is 6.


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


Example 3: uncover the GCF that 6 and 18, if your LCM is 18.

Solution:

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


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FAQs top top GCF that 6 and 18

What is the GCF the 6 and also 18?

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

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

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

How to discover the GCF the 6 and 18 by element Factorization?

To uncover the GCF that 6 and 18, we will uncover the element factorization that the given numbers, i.e. 6 = 2 × 3; 18 = 2 × 3 × 3.⇒ since 2, 3 are usual terms in the prime factorization that 6 and 18. Hence, GCF(6, 18) = 2 × 3 = 6☛ element Numbers

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

The complying with equation can be supplied to refer the relation between LCM and also GCF that 6 and also 18, i.e. GCF × LCM = 6 × 18.

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

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

What space the methods to uncover GCF the 6 and 18?

There room three typically used approaches to discover the GCF of 6 and 18.