GCF the 9 and also 18 is the largest feasible number the divides 9 and 18 specifically without any remainder. The factors of 9 and 18 room 1, 3, 9 and also 1, 2, 3, 6, 9, 18 respectively. There space 3 frequently used approaches to find the GCF of 9 and also 18 - Euclidean algorithm, lengthy division, and prime factorization.

You are watching: What is the gcf of 9 and 18?

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

Answer: GCF the 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 biggest positive creature m(9) that divides both x(9) and also y(18) without any type of remainder.


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

Listing usual FactorsPrime administrate MethodLong department Method

GCF the 9 and also 18 by Listing typical Factors

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

There room 3 typical factors that 9 and 18, that space 1, 3, and also 9. Therefore, the greatest typical factor the 9 and 18 is 9.

GCF the 9 and also 18 by element Factorization

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

GCF that 9 and 18 by lengthy Division

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GCF that 9 and also 18 is the divisor the we gain when the remainder becomes 0 after doing long division repeatedly.

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

The equivalent divisor (9) is the GCF of 9 and 18.

☛ also Check:


GCF the 9 and also 18 Examples


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

Solution:

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


Example 2: discover the GCF that 9 and 18, if your LCM is 18.

Solution:

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


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

Solution:

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


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FAQs on GCF that 9 and 18

What is the GCF that 9 and 18?

The GCF the 9 and also 18 is 9. To calculate the greatest typical 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 also choose the greatest element that precisely divides both 9 and also 18, i.e., 9.

How to discover the GCF the 9 and also 18 by element Factorization?

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

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

The following equation can be provided to to express the relation between Least common Multiple (LCM) and also GCF of 9 and 18, i.e. GCF × LCM = 9 × 18.

What space the methods to discover GCF of 9 and also 18?

There room three commonly used techniques to discover the GCF the 9 and also 18.

By long DivisionBy prime FactorizationBy Listing usual Factors

How to uncover the GCF the 9 and 18 through Long division Method?

To discover the GCF of 9, 18 making use of long department method, 18 is divided by 9. The equivalent divisor (9) once remainder equates to 0 is taken as GCF.

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

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