GCF the 18 and also 36 is the largest possible number the divides 18 and also 36 precisely without any kind of remainder. The determinants of 18 and 36 room 1, 2, 3, 6, 9, 18 and 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There room 3 frequently used approaches to uncover the GCF that 18 and 36 - long division, prime factorization, and also Euclidean algorithm.

You are watching: What is the gcf of 18 and 36

1.GCF that 18 and also 36
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 18 and also 36 is 18.

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Explanation:

The GCF of two non-zero integers, x(18) and y(36), is the greatest positive creature m(18) that divides both x(18) and also y(36) without any type of remainder.


Let's look at the various methods because that finding the GCF that 18 and 36.

Long division MethodPrime administrate MethodListing usual Factors

GCF of 18 and 36 by long Division

GCF the 18 and also 36 is the divisor that we gain when the remainder i do not care 0 after ~ doing long department repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (18) is the GCF of 18 and 36.

The matching divisor (18) is the GCF of 18 and 36.

GCF that 18 and also 36 by prime Factorization

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Prime factorization of 18 and 36 is (2 × 3 × 3) and (2 × 2 × 3 × 3) respectively. Together visible, 18 and 36 have typical prime factors. Hence, the GCF of 18 and also 36 is 2 × 3 × 3 = 18.

GCF the 18 and 36 by Listing typical Factors

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Factors that 18: 1, 2, 3, 6, 9, 18Factors the 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

There room 6 usual factors of 18 and 36, that room 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor the 18 and 36 is 18.

☛ likewise Check:


GCF the 18 and 36 Examples


Example 1: The product of two numbers is 648. If their GCF is 18, what is your LCM?

Solution:

Given: GCF = 18 and also product of number = 648∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 648/18Therefore, the LCM is 36.


Example 2: discover the greatest number that divides 18 and 36 exactly.

Solution:

The best number the divides 18 and 36 precisely is their greatest typical factor, i.e. GCF of 18 and also 36.⇒ components of 18 and also 36:

Factors the 18 = 1, 2, 3, 6, 9, 18Factors the 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Therefore, the GCF that 18 and 36 is 18.


Example 3: For two numbers, GCF = 18 and LCM = 36. If one number is 18, uncover the other number.

Solution:

Given: GCF (x, 18) = 18 and also LCM (x, 18) = 36∵ GCF × LCM = 18 × (x)⇒ x = (GCF × LCM)/18⇒ x = (18 × 36)/18⇒ x = 36Therefore, the other number is 36.


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FAQs ~ above GCF of 18 and also 36

What is the GCF of 18 and also 36?

The GCF that 18 and 36 is 18. To calculation the greatest usual factor (GCF) that 18 and 36, we require to factor each number (factors of 18 = 1, 2, 3, 6, 9, 18; determinants of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest aspect that exactly divides both 18 and 36, i.e., 18.

How to uncover the GCF the 18 and 36 by prime Factorization?

To find the GCF that 18 and 36, us will discover the element factorization that the given numbers, i.e. 18 = 2 × 3 × 3; 36 = 2 × 2 × 3 × 3.⇒ because 2, 3, 3 are typical terms in the element factorization of 18 and also 36. Hence, GCF(18, 36) = 2 × 3 × 3 = 18☛ element Number

If the GCF the 36 and also 18 is 18, discover its LCM.

GCF(36, 18) × LCM(36, 18) = 36 × 18Since the GCF of 36 and also 18 = 18⇒ 18 × LCM(36, 18) = 648Therefore, LCM = 36☛ Greatest common Factor Calculator

How to find the GCF that 18 and 36 by Long department Method?

To find the GCF that 18, 36 using long division method, 36 is divided by 18. The matching divisor (18) once remainder equals 0 is taken as GCF.

What space the methods to uncover GCF that 18 and 36?

There are three generally used approaches to find the GCF the 18 and 36.

See more: What Is 10% Of 200000 ? What Is 10 Percent Of 200000

By element FactorizationBy Euclidean AlgorithmBy long Division

What is the Relation between LCM and also GCF the 18, 36?

The following equation have the right to be supplied to to express the relation in between Least common Multiple and also GCF that 18 and also 36, i.e. GCF × LCM = 18 × 36.