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

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

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

Answer: GCF of 18 and 20 is 2.

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Explanation:

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


The methods to find the GCF the 18 and 20 are described below.

Listing usual FactorsPrime administer MethodUsing Euclid's Algorithm

GCF that 18 and also 20 by Listing typical Factors

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

There are 2 common factors that 18 and 20, that space 1 and 2. Therefore, the greatest usual factor of 18 and 20 is 2.

GCF the 18 and also 20 by element Factorization

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

GCF the 18 and also 20 by Euclidean Algorithm

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

Here X = 20 and also 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|, wherein X ≠ 0)

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

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GCF of 18 and also 20 Examples


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

Solution:

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


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

Solution:

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


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

Solution:

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


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FAQs on GCF that 18 and 20

What is the GCF that 18 and 20?

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

How to find the GCF of 18 and also 20 by element Factorization?

To uncover the GCF of 18 and 20, us will uncover the prime factorization of the given numbers, i.e. 18 = 2 × 3 × 3; 20 = 2 × 2 × 5.⇒ since 2 is the only common prime factor of 18 and also 20. Hence, GCF (18, 20) = 2.☛ element Number

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

The following equation have the right to be provided to to express the relation in between LCM (Least usual Multiple) and also GCF that 18 and also 20, i.e. GCF × LCM = 18 × 20.

What room the approaches to discover GCF that 18 and 20?

There are three typically used techniques to discover the GCF of 18 and also 20.

By element FactorizationBy lengthy DivisionBy Listing usual Factors

How to find the GCF that 18 and 20 by Long department Method?

To find the GCF that 18, 20 utilizing long department method, 20 is split by 18. The corresponding divisor (2) as soon as remainder equals 0 is taken as GCF.

See more: What Is 1/5 Of 45 Times 1/5? What Is 1/5 Divided By 45 (Calculate 1/5 ÷ 45

If the GCF that 20 and also 18 is 2, find its LCM.

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