GCF the 15 and 20 is the largest possible number that divides 15 and also 20 exactly without any kind of remainder. The factors of 15 and also 20 space 1, 3, 5, 15 and also 1, 2, 4, 5, 10, 20 respectively. There are 3 generally used methods to find the GCF that 15 and 20 - prime factorization, long division, and also Euclidean algorithm.

You are watching: What is the gcf of 15 and 20

1.GCF that 15 and also 20
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 15 and also 20 is 5.

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Explanation:

The GCF of two non-zero integers, x(15) and also y(20), is the greatest positive essence m(5) that divides both x(15) and y(20) without any type of remainder.


The approaches to discover the GCF the 15 and also 20 are described below.

Prime factorization MethodLong department MethodListing typical Factors

GCF of 15 and also 20 by prime Factorization

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Prime administer of 15 and also 20 is (3 × 5) and also (2 × 2 × 5) respectively. As visible, 15 and 20 have only one usual prime variable i.e. 5. Hence, the GCF of 15 and 20 is 5.

GCF of 15 and also 20 by lengthy Division

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GCF the 15 and also 20 is the divisor the we obtain when the remainder becomes 0 after ~ doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will certainly divide the divisor of step 1 (15) by the remainder (5).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (5) is the GCF that 15 and also 20.

GCF that 15 and also 20 by Listing usual Factors

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Factors the 15: 1, 3, 5, 15Factors of 20: 1, 2, 4, 5, 10, 20

There room 2 common factors the 15 and 20, that are 1 and 5. Therefore, the greatest usual factor that 15 and also 20 is 5.

☛ likewise Check:


GCF the 15 and 20 Examples


Example 1: uncover the best number the divides 15 and 20 exactly.

Solution:

The biggest number the divides 15 and 20 exactly is their greatest usual factor, i.e. GCF that 15 and also 20.⇒ components of 15 and 20:

Factors of 15 = 1, 3, 5, 15Factors that 20 = 1, 2, 4, 5, 10, 20

Therefore, the GCF that 15 and 20 is 5.


Example 2: discover the GCF the 15 and also 20, if their LCM is 60.

Solution:

∵ LCM × GCF = 15 × 20⇒ GCF(15, 20) = (15 × 20)/60 = 5Therefore, the greatest usual factor the 15 and 20 is 5.


Example 3: For 2 numbers, GCF = 5 and LCM = 60. If one number is 20, find the various other number.

Solution:

Given: GCF (z, 20) = 5 and LCM (z, 20) = 60∵ GCF × LCM = 20 × (z)⇒ z = (GCF × LCM)/20⇒ z = (5 × 60)/20⇒ z = 15Therefore, the other number is 15.


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FAQs top top GCF the 15 and also 20

What is the GCF that 15 and also 20?

The GCF of 15 and 20 is 5. To calculation the GCF (Greatest typical Factor) that 15 and 20, we require to factor each number (factors that 15 = 1, 3, 5, 15; determinants of 20 = 1, 2, 4, 5, 10, 20) and choose the greatest factor that precisely divides both 15 and 20, i.e., 5.

How to find the GCF the 15 and also 20 by element Factorization?

To discover the GCF the 15 and 20, us will uncover the element factorization the the provided numbers, i.e. 15 = 3 × 5; 20 = 2 × 2 × 5.⇒ because 5 is the only typical prime element of 15 and 20. Hence, GCF (15, 20) = 5.☛ element Numbers

How to discover the GCF the 15 and 20 through Long division Method?

To find the GCF of 15, 20 using long department method, 20 is split by 15. The equivalent divisor (5) when remainder amounts to 0 is taken as GCF.

What are the techniques to discover GCF of 15 and also 20?

There are three typically used approaches to find the GCF of 15 and also 20.

By Euclidean AlgorithmBy prime FactorizationBy long Division

If the GCF the 20 and 15 is 5, find its LCM.

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GCF(20, 15) × LCM(20, 15) = 20 × 15Since the GCF of 20 and also 15 = 5⇒ 5 × LCM(20, 15) = 300Therefore, LCM = 60☛ Greatest typical Factor Calculator

What is the Relation in between LCM and also GCF the 15, 20?

The adhering to equation can be provided to refer the relation between LCM and GCF of 15 and also 20, i.e. GCF × LCM = 15 × 20.