GCF of 18 and 81 is the largest possible number the divides 18 and also 81 precisely without any kind of remainder. The components of 18 and also 81 room 1, 2, 3, 6, 9, 18 and also 1, 3, 9, 27, 81 respectively. There space 3 frequently used techniques to find the GCF that 18 and 81 - lengthy division, Euclidean algorithm, and prime factorization.

You are watching: What is the gcf of 18 and 81

1.GCF that 18 and also 81
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 18 and 81 is 9.

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Explanation:

The GCF of two non-zero integers, x(18) and also y(81), is the biggest positive creature m(9) the divides both x(18) and also y(81) without any remainder.


Let's look in ~ the different methods for finding the GCF the 18 and 81.

Listing usual FactorsLong department MethodPrime administer Method

GCF the 18 and 81 through Listing usual Factors

Factors the 18: 1, 2, 3, 6, 9, 18Factors that 81: 1, 3, 9, 27, 81

There room 3 common factors of 18 and 81, that room 1, 3, and 9. Therefore, the greatest usual factor of 18 and also 81 is 9.

GCF that 18 and 81 by lengthy Division

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GCF of 18 and 81 is the divisor the we gain when the remainder i do not care 0 ~ doing long division repeatedly.

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

The corresponding divisor (9) is the GCF that 18 and 81.

GCF that 18 and 81 by element Factorization

Prime administer of 18 and 81 is (2 × 3 × 3) and also (3 × 3 × 3 × 3) respectively. As visible, 18 and also 81 have usual prime factors. Hence, the GCF the 18 and also 81 is 3 × 3 = 9.

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GCF that 18 and 81 Examples


Example 1: For 2 numbers, GCF = 9 and also LCM = 162. If one number is 81, discover the various other number.

Solution:

Given: GCF (y, 81) = 9 and also LCM (y, 81) = 162∵ GCF × LCM = 81 × (y)⇒ y = (GCF × LCM)/81⇒ y = (9 × 162)/81⇒ y = 18Therefore, the other number is 18.


Example 2: discover the GCF the 18 and 81, if your LCM is 162.

Solution:

∵ LCM × GCF = 18 × 81⇒ GCF(18, 81) = (18 × 81)/162 = 9Therefore, the greatest typical factor of 18 and 81 is 9.


Example 3: The product of 2 numbers is 1458. If your GCF is 9, what is your LCM?

Solution:

Given: GCF = 9 and product of numbers = 1458∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 1458/9Therefore, the LCM is 162.


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FAQs on GCF that 18 and also 81

What is the GCF the 18 and 81?

The GCF that 18 and 81 is 9. To calculate the GCF (Greatest typical Factor) of 18 and 81, we need to aspect each number (factors that 18 = 1, 2, 3, 6, 9, 18; determinants of 81 = 1, 3, 9, 27, 81) and choose the greatest element that specifically divides both 18 and 81, i.e., 9.

How to uncover the GCF of 18 and also 81 through Long department Method?

To find the GCF that 18, 81 making use of long division method, 81 is split by 18. The matching divisor (9) when remainder equals 0 is taken as GCF.

What is the Relation in between LCM and also GCF of 18, 81?

The complying with equation can be provided to refer the relation between Least typical Multiple (LCM) and also GCF the 18 and also 81, i.e. GCF × LCM = 18 × 81.

How to find the GCF of 18 and 81 by element Factorization?

To uncover the GCF of 18 and 81, we will discover the element factorization that the given numbers, i.e. 18 = 2 × 3 × 3; 81 = 3 × 3 × 3 × 3.⇒ because 3, 3 are common terms in the element factorization that 18 and also 81. Hence, GCF(18, 81) = 3 × 3 = 9☛ element Numbers

What are the methods to find GCF the 18 and 81?

There room three typically used techniques to find the GCF the 18 and 81.

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By element FactorizationBy lengthy DivisionBy Euclidean Algorithm

If the GCF that 81 and 18 is 9, find its LCM.

GCF(81, 18) × LCM(81, 18) = 81 × 18Since the GCF the 81 and also 18 = 9⇒ 9 × LCM(81, 18) = 1458Therefore, LCM = 162☛ GCF Calculator