GCF that 18 and also 54 is the largest possible number the divides 18 and also 54 specifically without any type of remainder. The factors of 18 and also 54 room 1, 2, 3, 6, 9, 18 and also 1, 2, 3, 6, 9, 18, 27, 54 respectively. There room 3 typically used approaches to uncover the GCF of 18 and 54 - lengthy division, prime factorization, and Euclidean algorithm.

You are watching: Greatest common factor of 18 and 54

1.GCF of 18 and 54
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 18 and 54 is 18.

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Explanation:

The GCF of 2 non-zero integers, x(18) and y(54), is the biggest positive essence m(18) the divides both x(18) and also y(54) without any type of remainder.


Let's look in ~ the different methods for finding the GCF that 18 and 54.

Prime administer MethodListing common FactorsLong division Method

GCF the 18 and 54 by prime Factorization

Prime factorization of 18 and 54 is (2 × 3 × 3) and also (2 × 3 × 3 × 3) respectively. As visible, 18 and also 54 have typical prime factors. Hence, the GCF of 18 and 54 is 2 × 3 × 3 = 18.

GCF that 18 and also 54 through Listing common Factors

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Factors the 18: 1, 2, 3, 6, 9, 18Factors that 54: 1, 2, 3, 6, 9, 18, 27, 54

There room 6 typical factors that 18 and 54, that room 1, 2, 3, 6, 9, and 18. Therefore, the greatest typical factor the 18 and also 54 is 18.

GCF the 18 and 54 by long Division

GCF of 18 and 54 is the divisor that we get when the remainder becomes 0 ~ doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (18) is the GCF that 18 and 54.

The corresponding divisor (18) is the GCF the 18 and also 54.

☛ additionally Check:


GCF the 18 and 54 Examples


Example 1: discover the GCF that 18 and 54, if their LCM is 54.

Solution:

∵ LCM × GCF = 18 × 54⇒ GCF(18, 54) = (18 × 54)/54 = 18Therefore, the greatest typical factor the 18 and 54 is 18.


Example 2: discover the best number the divides 18 and also 54 exactly.

Solution:

The best number that divides 18 and 54 exactly is your greatest usual factor, i.e. GCF of 18 and 54.⇒ factors of 18 and also 54:

Factors the 18 = 1, 2, 3, 6, 9, 18Factors the 54 = 1, 2, 3, 6, 9, 18, 27, 54

Therefore, the GCF the 18 and 54 is 18.


Example 3: The product of 2 numbers is 972. If their GCF is 18, what is your LCM?

Solution:

Given: GCF = 18 and product of number = 972∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 972/18Therefore, the LCM is 54.


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FAQs top top GCF that 18 and 54

What is the GCF the 18 and 54?

The GCF of 18 and also 54 is 18. To calculate the GCF that 18 and also 54, we require to element each number (factors the 18 = 1, 2, 3, 6, 9, 18; determinants of 54 = 1, 2, 3, 6, 9, 18, 27, 54) and also choose the greatest aspect that exactly divides both 18 and also 54, i.e., 18.

How to discover the GCF the 18 and 54 by element Factorization?

To find the GCF the 18 and also 54, us will find the prime factorization of the provided numbers, i.e. 18 = 2 × 3 × 3; 54 = 2 × 3 × 3 × 3.⇒ since 2, 3, 3 are usual terms in the element factorization of 18 and also 54. Hence, GCF(18, 54) = 2 × 3 × 3 = 18☛ prime Number

How to discover the GCF that 18 and 54 by Long division Method?

To discover the GCF that 18, 54 making use of long division method, 54 is separated by 18. The matching divisor (18) when remainder equals 0 is taken together GCF.

If the GCF that 54 and 18 is 18, uncover its LCM.

GCF(54, 18) × LCM(54, 18) = 54 × 18Since the GCF that 54 and 18 = 18⇒ 18 × LCM(54, 18) = 972Therefore, LCM = 54☛ Greatest common Factor Calculator

What are the methods to find GCF that 18 and also 54?

There are three typically used techniques to uncover the GCF that 18 and 54.

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By long DivisionBy Listing typical FactorsBy prime Factorization

What is the Relation in between LCM and also GCF that 18, 54?

The following equation have the right to be provided to refer the relation between LCM (Least typical Multiple) and GCF that 18 and 54, i.e. GCF × LCM = 18 × 54.