GCF the 15 and also 18 is the largest feasible number that divides 15 and also 18 specifically without any kind of remainder. The factors of 15 and also 18 room 1, 3, 5, 15 and 1, 2, 3, 6, 9, 18 respectively. There space 3 generally used techniques to find the GCF the 15 and also 18 - lengthy division, prime factorization, and also Euclidean algorithm.

You are watching: What is the greatest common factor of 15 and 18

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

Answer: GCF of 15 and also 18 is 3.

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Explanation:

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


The approaches to discover the GCF that 15 and 18 are defined below.

Long division MethodListing typical FactorsPrime administer Method

GCF of 15 and 18 by long Division

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GCF the 15 and 18 is the divisor that we gain when the remainder i do not care 0 after ~ doing long division repeatedly.

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

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

GCF of 15 and 18 by Listing usual Factors

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

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

GCF of 15 and 18 by element Factorization

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Prime administrate of 15 and 18 is (3 × 5) and also (2 × 3 × 3) respectively. As visible, 15 and also 18 have only one common prime variable i.e. 3. Hence, the GCF of 15 and also 18 is 3.

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GCF of 15 and also 18 Examples


Example 1: find 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 their GCF is 3, what is your LCM?

Solution:

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


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

Solution:

The greatest number that divides 15 and 18 specifically is their greatest typical factor, i.e. GCF of 15 and also 18.⇒ determinants of 15 and 18:

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

Therefore, the GCF that 15 and also 18 is 3.


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FAQs top top GCF the 15 and 18

What is the GCF the 15 and 18?

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

What space the methods to uncover GCF the 15 and also 18?

There are three generally used methods to discover the GCF of 15 and also 18.

By Euclidean AlgorithmBy prime FactorizationBy long Division

If the GCF the 18 and also 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 common Factor Calculator

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

The complying with equation deserve to be provided to to express the relation in between LCM and GCF of 15 and also 18, i.e. GCF × LCM = 15 × 18.

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

To discover the GCF that 15 and 18, us will find the element factorization of the offered numbers, i.e. 15 = 3 × 5; 18 = 2 × 3 × 3.⇒ since 3 is the only usual prime factor of 15 and also 18. Hence, GCF (15, 18) = 3.☛ What are Prime Numbers?

How to find the GCF of 15 and 18 by Long department Method?

To uncover the GCF of 15, 18 utilizing long division method, 18 is divided by 15. The equivalent divisor (3) when remainder amounts to 0 is taken together GCF.