GCF the 15 and 18 is the largest feasible number the divides 15 and also 18 exactly without any type of remainder. The components of 15 and also 18 room 1, 3, 5, 15 and also 1, 2, 3, 6, 9, 18 respectively. There room 3 commonly used methods to uncover the GCF the 15 and 18 - lengthy division, prime factorization, and Euclidean algorithm.

You are watching: Greatest common factor of 15 and 18

1.GCF of 15 and also 18
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF the 15 and 18 is 3.

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Explanation:

The GCF of 2 non-zero integers, x(15) and y(18), is the biggest positive essence m(3) that divides both x(15) and also y(18) without any kind of remainder.


The methods to uncover the GCF of 15 and 18 are defined below.

Long division MethodListing common FactorsPrime factorization Method

GCF the 15 and 18 by lengthy Division

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GCF that 15 and also 18 is the divisor that we obtain when the remainder becomes 0 ~ doing long division repeatedly.

Step 2: because the remainder ≠ 0, we will certainly divide the divisor of step 1 (15) through the remainder (3).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (3) is the GCF that 15 and also 18.

GCF that 15 and also 18 through Listing common Factors

Factors the 15: 1, 3, 5, 15Factors that 18: 1, 2, 3, 6, 9, 18

There are 2 common factors of 15 and also 18, that space 1 and also 3. Therefore, the greatest typical factor the 15 and 18 is 3.

GCF that 15 and 18 by prime Factorization

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Prime factorization of 15 and also 18 is (3 × 5) and also (2 × 3 × 3) respectively. As visible, 15 and also 18 have only one usual prime aspect i.e. 3. Hence, the GCF that 15 and 18 is 3.

☛ likewise Check:


GCF of 15 and also 18 Examples


Example 1: uncover the GCF of 15 and 18, if their LCM is 90.

Solution:

∵ LCM × GCF = 15 × 18⇒ GCF(15, 18) = (15 × 18)/90 = 3Therefore, the greatest usual factor of 15 and 18 is 3.


Example 2: The product of two numbers is 270. If your GCF is 3, what is their LCM?

Solution:

Given: GCF = 3 and product of number = 270∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 270/3Therefore, the LCM is 90.


Example 3: find the best number that divides 15 and also 18 exactly.

Solution:

The biggest number that divides 15 and also 18 precisely is your greatest typical factor, i.e. GCF that 15 and 18.⇒ components of 15 and also 18:

Factors of 15 = 1, 3, 5, 15Factors that 18 = 1, 2, 3, 6, 9, 18

Therefore, the GCF the 15 and 18 is 3.


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FAQs top top GCF of 15 and also 18

What is the GCF the 15 and also 18?

The GCF of 15 and 18 is 3. To calculation the greatest typical factor (GCF) of 15 and also 18, we need to variable each number (factors of 15 = 1, 3, 5, 15; determinants of 18 = 1, 2, 3, 6, 9, 18) and choose the greatest element that specifically divides both 15 and also 18, i.e., 3.

What space the techniques to find GCF of 15 and 18?

There space three commonly used techniques to uncover the GCF that 15 and also 18.

By Euclidean AlgorithmBy element FactorizationBy lengthy Division

If the GCF the 18 and 15 is 3, discover its LCM.

GCF(18, 15) × LCM(18, 15) = 18 × 15Since the GCF of 18 and 15 = 3⇒ 3 × LCM(18, 15) = 270Therefore, LCM = 90☛ Greatest typical Factor Calculator

What is the Relation between LCM and GCF of 15, 18?

The following equation have the right to be used to to express the relation in between LCM and GCF of 15 and 18, i.e. GCF × LCM = 15 × 18.

See more: Solved Part C What Is The Value Of The Bond Angles In Bf3? What Is The Idealized Bond Angle

How to uncover the GCF the 15 and also 18 by element Factorization?

To find the GCF of 15 and also 18, we will uncover the prime factorization the the given numbers, i.e. 15 = 3 × 5; 18 = 2 × 3 × 3.⇒ because 3 is the only common prime factor of 15 and 18. Hence, GCF (15, 18) = 3.☛ What space Prime Numbers?

How to uncover the GCF the 15 and 18 through Long department Method?

To find the GCF the 15, 18 utilizing long division method, 18 is divided by 15. The matching divisor (3) once remainder equals 0 is taken together GCF.