GCF the 15 and also 18 is the largest possible number that divides 15 and 18 precisely without any kind of remainder. The factors of 15 and also 18 room 1, 3, 5, 15 and also 1, 2, 3, 6, 9, 18 respectively. There are 3 commonly used techniques to discover the GCF the 15 and also 18 - lengthy division, prime factorization, and Euclidean algorithm.

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

1.GCF that 15 and 18
2.List the 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 best positive integer m(3) that divides both x(15) and y(18) without any remainder.


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

Long division MethodListing common FactorsPrime factorization Method

GCF of 15 and 18 by long Division

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

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

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

GCF of 15 and also 18 through Listing common Factors

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

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

GCF the 15 and also 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 actually only one common prime element i.e. 3. Hence, the GCF that 15 and 18 is 3.

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GCF that 15 and also 18 Examples


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

Solution:

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


Example 2: The product of two numbers is 270. If your 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: discover the greatest number the divides 15 and also 18 exactly.

Solution:

The greatest number the divides 15 and 18 precisely is their greatest common factor, i.e. GCF of 15 and also 18.⇒ determinants of 15 and 18:

Factors that 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 on GCF of 15 and also 18

What is the GCF that 15 and also 18?

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

What are the methods to discover GCF of 15 and also 18?

There are three frequently used methods to find the GCF of 15 and also 18.

By Euclidean AlgorithmBy element FactorizationBy lengthy Division

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

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

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

The following equation can be used to express the relation between LCM and also GCF the 15 and 18, i.e. GCF × LCM = 15 × 18.

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

To find the GCF that 15 and 18, we will uncover the prime 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 18. Hence, GCF (15, 18) = 3.☛ What room Prime Numbers?

How to discover the GCF the 15 and also 18 by Long department Method?

To uncover the GCF of 15, 18 using long department method, 18 is divided by 15. The matching divisor (3) when remainder equates to 0 is taken together GCF.