GCF that 15 and 30 is the largest possible number that divides 15 and 30 specifically without any remainder. The components of 15 and 30 space 1, 3, 5, 15 and 1, 2, 3, 5, 6, 10, 15, 30 respectively. There room 3 commonly used methods to uncover the GCF the 15 and 30 - long division, element factorization, and Euclidean algorithm.

You are watching: Greatest common factor of 15 and 30

1.GCF that 15 and 30
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 15 and also 30 is 15.

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Explanation:

The GCF of two non-zero integers, x(15) and y(30), is the biggest positive creature m(15) the divides both x(15) and y(30) without any remainder.


The methods to discover the GCF the 15 and also 30 are explained below.

Prime administrate MethodListing usual FactorsLong department Method

GCF of 15 and 30 by element Factorization

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Prime administer of 15 and also 30 is (3 × 5) and (2 × 3 × 5) respectively. As visible, 15 and 30 have usual prime factors. Hence, the GCF the 15 and 30 is 3 × 5 = 15.

GCF the 15 and 30 through Listing typical Factors

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Factors the 15: 1, 3, 5, 15Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

There room 4 common factors that 15 and 30, that are 1, 3, 5, and also 15. Therefore, the greatest typical factor of 15 and 30 is 15.

GCF the 15 and also 30 by lengthy Division

GCF of 15 and also 30 is the divisor that we acquire when the remainder i do not care 0 ~ doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (15) is the GCF that 15 and also 30.

The equivalent divisor (15) is the GCF of 15 and 30.

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GCF that 15 and also 30 Examples


Example 1: For 2 numbers, GCF = 15 and LCM = 30. If one number is 30, find the other number.

Solution:

Given: GCF (y, 30) = 15 and LCM (y, 30) = 30∵ GCF × LCM = 30 × (y)⇒ y = (GCF × LCM)/30⇒ y = (15 × 30)/30⇒ y = 15Therefore, the various other number is 15.


Example 2: discover the best number that divides 15 and 30 exactly.

Solution:

The biggest number the divides 15 and 30 exactly is your greatest common factor, i.e. GCF the 15 and 30.⇒ components of 15 and 30:

Factors that 15 = 1, 3, 5, 15Factors that 30 = 1, 2, 3, 5, 6, 10, 15, 30

Therefore, the GCF that 15 and 30 is 15.


Example 3: The product of 2 numbers is 450. If your GCF is 15, what is their LCM?

Solution:

Given: GCF = 15 and product of numbers = 450∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 450/15Therefore, the LCM is 30.


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FAQs top top GCF that 15 and also 30

What is the GCF the 15 and 30?

The GCF of 15 and also 30 is 15. To calculation the GCF (Greatest usual Factor) that 15 and also 30, we need to element each number (factors the 15 = 1, 3, 5, 15; components of 30 = 1, 2, 3, 5, 6, 10, 15, 30) and also choose the greatest element that exactly divides both 15 and also 30, i.e., 15.

If the GCF that 30 and 15 is 15, uncover its LCM.

GCF(30, 15) × LCM(30, 15) = 30 × 15Since the GCF the 30 and 15 = 15⇒ 15 × LCM(30, 15) = 450Therefore, LCM = 30☛ Greatest typical Factor Calculator

How to discover the GCF the 15 and 30 by prime Factorization?

To discover the GCF that 15 and also 30, we will uncover the prime factorization that the provided numbers, i.e. 15 = 3 × 5; 30 = 2 × 3 × 5.⇒ due to the fact that 3, 5 are typical terms in the prime factorization the 15 and 30. Hence, GCF(15, 30) = 3 × 5 = 15☛ What is a prime Number?

How to find the GCF the 15 and 30 by Long division Method?

To find the GCF of 15, 30 using long department method, 30 is separated by 15. The corresponding divisor (15) as soon as remainder equates to 0 is taken together GCF.

What is the Relation between LCM and also GCF of 15, 30?

The adhering to equation can be offered to express the relation between Least common Multiple (LCM) and also GCF the 15 and also 30, i.e. GCF × LCM = 15 × 30.

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What room the methods to discover GCF that 15 and 30?

There space three typically used techniques to uncover the GCF of 15 and 30.