GCF that 18 and 27 is the largest feasible number the divides 18 and 27 exactly without any type of remainder. The determinants of 18 and 27 space 1, 2, 3, 6, 9, 18 and also 1, 3, 9, 27 respectively. There space 3 commonly used methods to uncover the GCF the 18 and 27 - lengthy division, Euclidean algorithm, and also prime factorization.

You are watching: What is the gcf of 18 and 27

1.GCF of 18 and also 27
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 18 and 27 is 9.

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Explanation:

The GCF of 2 non-zero integers, x(18) and also y(27), is the best positive integer m(9) that divides both x(18) and also y(27) without any kind of remainder.


Let's look at the various methods for finding the GCF that 18 and 27.

Listing typical FactorsLong department MethodPrime factorization Method

GCF that 18 and also 27 by Listing usual Factors

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Factors of 18: 1, 2, 3, 6, 9, 18Factors of 27: 1, 3, 9, 27

There room 3 common factors the 18 and also 27, that room 1, 3, and also 9. Therefore, the greatest typical factor of 18 and 27 is 9.

GCF that 18 and 27 by lengthy Division

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GCF of 18 and also 27 is the divisor that we gain when the remainder i do not care 0 ~ doing long department repeatedly.

Step 2: because the remainder ≠ 0, we will certainly divide the divisor of step 1 (18) by the remainder (9).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (9) is the GCF that 18 and 27.

GCF of 18 and also 27 by prime Factorization

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Prime administrate of 18 and also 27 is (2 × 3 × 3) and also (3 × 3 × 3) respectively. As visible, 18 and also 27 have common prime factors. Hence, the GCF of 18 and also 27 is 3 × 3 = 9.

☛ also Check:


GCF the 18 and 27 Examples


Example 1: For two numbers, GCF = 9 and also LCM = 54. If one number is 18, find the other number.

Solution:

Given: GCF (x, 18) = 9 and also LCM (x, 18) = 54∵ GCF × LCM = 18 × (x)⇒ x = (GCF × LCM)/18⇒ x = (9 × 54)/18⇒ x = 27Therefore, the other number is 27.


Example 2: The product of 2 numbers is 486. If their GCF is 9, what is your LCM?

Solution:

Given: GCF = 9 and product of numbers = 486∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 486/9Therefore, the LCM is 54.


Example 3: discover the greatest number the divides 18 and also 27 exactly.

Solution:

The greatest number that divides 18 and also 27 precisely is your greatest common factor, i.e. GCF the 18 and also 27.⇒ factors of 18 and 27:

Factors of 18 = 1, 2, 3, 6, 9, 18Factors of 27 = 1, 3, 9, 27

Therefore, the GCF the 18 and 27 is 9.


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FAQs ~ above GCF of 18 and also 27

What is the GCF of 18 and also 27?

The GCF that 18 and 27 is 9. To calculation the greatest typical factor (GCF) of 18 and 27, we need to element each number (factors of 18 = 1, 2, 3, 6, 9, 18; determinants of 27 = 1, 3, 9, 27) and also choose the greatest factor that specifically divides both 18 and 27, i.e., 9.

How to discover the GCF the 18 and also 27 by Long department Method?

To find the GCF that 18, 27 using long division method, 27 is split by 18. The equivalent divisor (9) as soon as remainder amounts to 0 is taken as GCF.

What is the Relation in between LCM and GCF the 18, 27?

The following equation have the right to be offered to refer the relation between Least common Multiple and GCF that 18 and 27, i.e. GCF × LCM = 18 × 27.

If the GCF the 27 and also 18 is 9, discover its LCM.

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GCF(27, 18) × LCM(27, 18) = 27 × 18Since the GCF the 27 and 18 = 9⇒ 9 × LCM(27, 18) = 486Therefore, LCM = 54☛ Greatest typical Factor Calculator

How to find the GCF the 18 and also 27 by prime Factorization?

To uncover the GCF that 18 and also 27, we will find the prime factorization that the offered numbers, i.e. 18 = 2 × 3 × 3; 27 = 3 × 3 × 3.⇒ since 3, 3 are usual terms in the prime factorization the 18 and 27. Hence, GCF(18, 27) = 3 × 3 = 9☛ element Numbers

What are the methods to discover GCF that 18 and 27?

There room three frequently used techniques to discover the GCF that 18 and 27.