GCF that 18 and 20 is the largest possible number the divides 18 and 20 precisely without any type of remainder. The determinants of 18 and also 20 space 1, 2, 3, 6, 9, 18 and 1, 2, 4, 5, 10, 20 respectively. There space 3 frequently used techniques to find the GCF that 18 and 20 - element factorization, Euclidean algorithm, and long division.

You are watching: What is the gcf of 18 and 20

 1 GCF the 18 and 20 2 List that Methods 3 Solved Examples 4 FAQs

Answer: GCF of 18 and also 20 is 2.

Explanation:

The GCF of two non-zero integers, x(18) and also y(20), is the greatest positive creature m(2) that divides both x(18) and y(20) without any remainder.

The techniques to discover the GCF of 18 and also 20 are defined below.

Listing common FactorsPrime administrate MethodUsing Euclid's Algorithm

### GCF of 18 and also 20 through Listing common Factors

Factors that 18: 1, 2, 3, 6, 9, 18Factors that 20: 1, 2, 4, 5, 10, 20

There are 2 typical factors the 18 and also 20, that are 1 and also 2. Therefore, the greatest typical factor the 18 and 20 is 2.

### GCF of 18 and also 20 by prime Factorization

Prime administrate of 18 and 20 is (2 × 3 × 3) and also (2 × 2 × 5) respectively. As visible, 18 and also 20 have actually only one typical prime aspect i.e. 2. Hence, the GCF that 18 and also 20 is 2.

### GCF of 18 and also 20 by Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)where X > Y and also mod is the modulo operator.

Here X = 20 and Y = 18

GCF(20, 18) = GCF(18, 20 mode 18) = GCF(18, 2)GCF(18, 2) = GCF(2, 18 mode 2) = GCF(2, 0)GCF(2, 0) = 2 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the worth of GCF the 18 and 20 is 2.

## GCF of 18 and 20 Examples

Example 1: find the GCF the 18 and also 20, if their LCM is 180.

Solution:

∵ LCM × GCF = 18 × 20⇒ GCF(18, 20) = (18 × 20)/180 = 2Therefore, the greatest usual factor the 18 and 20 is 2.

Example 2: The product of 2 numbers is 360. If your GCF is 2, what is their LCM?

Solution:

Given: GCF = 2 and product of numbers = 360∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 360/2Therefore, the LCM is 180.

Example 3: For two numbers, GCF = 2 and LCM = 180. If one number is 20, find the other number.

Solution:

Given: GCF (z, 20) = 2 and also LCM (z, 20) = 180∵ GCF × LCM = 20 × (z)⇒ z = (GCF × LCM)/20⇒ z = (2 × 180)/20⇒ z = 18Therefore, the other number is 18.

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## FAQs top top GCF of 18 and also 20

### What is the GCF the 18 and also 20?

The GCF the 18 and 20 is 2. To calculation the greatest common factor (GCF) of 18 and 20, we require to aspect each number (factors of 18 = 1, 2, 3, 6, 9, 18; determinants of 20 = 1, 2, 4, 5, 10, 20) and choose the greatest aspect that exactly divides both 18 and also 20, i.e., 2.

### How to find the GCF that 18 and 20 by prime Factorization?

To find the GCF that 18 and 20, us will uncover the element factorization of the offered numbers, i.e. 18 = 2 × 3 × 3; 20 = 2 × 2 × 5.⇒ because 2 is the only common prime variable of 18 and 20. Hence, GCF (18, 20) = 2.☛ prime Number

### What is the Relation in between LCM and also GCF of 18, 20?

The adhering to equation deserve to be provided to express the relation in between LCM (Least common Multiple) and GCF that 18 and also 20, i.e. GCF × LCM = 18 × 20.

### What are the approaches to uncover GCF of 18 and 20?

There are three generally used methods to find the GCF of 18 and also 20.

By prime FactorizationBy long DivisionBy Listing usual Factors

### How to find the GCF the 18 and also 20 by Long division Method?

To uncover the GCF that 18, 20 using long department method, 20 is divided by 18. The equivalent divisor (2) once remainder amounts to 0 is taken as GCF.

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### If the GCF of 20 and also 18 is 2, discover its LCM.

GCF(20, 18) × LCM(20, 18) = 20 × 18Since the GCF of 20 and 18 = 2⇒ 2 × LCM(20, 18) = 360Therefore, LCM = 180☛ Greatest common Factor Calculator