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

You are watching: Greatest common factor of 18 and 27

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

Answer: GCF that 18 and also 27 is 9.

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Explanation:

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


Let's look at the different methods because that finding the GCF the 18 and also 27.

Listing common FactorsLong division MethodPrime administer Method

GCF the 18 and also 27 by Listing usual Factors

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

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

GCF that 18 and also 27 by long Division

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

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

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

GCF that 18 and also 27 by prime Factorization

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

☛ likewise Check:


GCF of 18 and 27 Examples


Example 1: For 2 numbers, GCF = 9 and LCM = 54. If one number is 18, discover the other number.

Solution:

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


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

Solution:

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


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

Solution:

The biggest number that divides 18 and 27 exactly is their greatest common factor, i.e. GCF of 18 and also 27.⇒ factors of 18 and also 27:

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

Therefore, the GCF the 18 and also 27 is 9.


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FAQs ~ above GCF that 18 and 27

What is the GCF of 18 and also 27?

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

How to uncover the GCF that 18 and also 27 by Long division Method?

To discover the GCF the 18, 27 making use of long department method, 27 is split by 18. The matching divisor (9) as soon as remainder equates to 0 is taken together GCF.

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

The following equation can be used to express the relation between Least common Multiple and also GCF the 18 and also 27, i.e. GCF × LCM = 18 × 27.

If the GCF of 27 and 18 is 9, uncover its LCM.

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

How to find the GCF of 18 and 27 by element Factorization?

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

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

There room three frequently used methods to find the GCF the 18 and also 27.