GCF the 9 and 18 is the largest feasible number the divides 9 and also 18 exactly without any kind of remainder. The determinants of 9 and 18 are 1, 3, 9 and 1, 2, 3, 6, 9, 18 respectively. There are 3 commonly used techniques to find the GCF that 9 and 18 - Euclidean algorithm, long division, and also prime factorization.

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1.GCF of 9 and 18
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 9 and 18 is 9.

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Explanation:

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


Let's look in ~ the different methods because that finding the GCF of 9 and also 18.

Listing usual FactorsPrime administer MethodLong division Method

GCF of 9 and 18 by Listing typical Factors

Factors that 9: 1, 3, 9Factors of 18: 1, 2, 3, 6, 9, 18

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

GCF that 9 and also 18 by prime Factorization

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

GCF of 9 and also 18 by long Division

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GCF the 9 and 18 is the divisor that we obtain when the remainder i do not care 0 after doing long division repeatedly.

Step 2: since the remainder = 0, the divisor (9) is the GCF the 9 and 18.

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

☛ likewise Check:


GCF of 9 and 18 Examples


Example 1: The product of 2 numbers is 162. If your GCF is 9, what is your LCM?

Solution:

Given: GCF = 9 and product of number = 162∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 162/9Therefore, the LCM is 18.


Example 2: find the GCF that 9 and 18, if their LCM is 18.

Solution:

∵ LCM × GCF = 9 × 18⇒ GCF(9, 18) = (9 × 18)/18 = 9Therefore, the greatest usual factor the 9 and 18 is 9.


Example 3: For two numbers, GCF = 9 and also LCM = 18. If one number is 9, find the various other number.

Solution:

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


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FAQs top top GCF that 9 and also 18

What is the GCF that 9 and 18?

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

How to find the GCF that 9 and 18 by prime Factorization?

To find the GCF of 9 and also 18, us will find the element factorization the the offered numbers, i.e. 9 = 3 × 3; 18 = 2 × 3 × 3.⇒ due to the fact that 3, 3 are common terms in the element factorization that 9 and also 18. Hence, GCF(9, 18) = 3 × 3 = 9☛ What space Prime Numbers?

What is the Relation in between LCM and GCF that 9, 18?

The following equation deserve to be supplied to to express the relation in between Least typical Multiple (LCM) and also GCF the 9 and also 18, i.e. GCF × LCM = 9 × 18.

What are the methods to find GCF that 9 and 18?

There space three frequently used approaches to discover the GCF the 9 and 18.

By lengthy DivisionBy element FactorizationBy Listing typical Factors

How to uncover the GCF of 9 and also 18 by Long department Method?

To uncover the GCF of 9, 18 making use of long department method, 18 is separated by 9. The corresponding divisor (9) when remainder equates to 0 is taken as GCF.

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If the GCF of 18 and also 9 is 9, discover its LCM.

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