GCF that 15 and 28 is the largest feasible number the divides 15 and 28 exactly without any type of remainder. The factors of 15 and also 28 are 1, 3, 5, 15 and also 1, 2, 4, 7, 14, 28 respectively. There room 3 generally used approaches to discover the GCF that 15 and also 28 - prime factorization, Euclidean algorithm, and long division.

You are watching: Greatest common factor of 15 and 28

1.GCF that 15 and also 28
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 15 and 28 is 1.

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Explanation:

The GCF of two non-zero integers, x(15) and also y(28), is the greatest positive creature m(1) that divides both x(15) and also y(28) without any remainder.


The methods to discover the GCF of 15 and also 28 are described below.

Long department MethodListing usual FactorsPrime administer Method

GCF the 15 and also 28 by lengthy Division

GCF of 15 and 28 is the divisor the we gain when the remainder i do not care 0 after ~ doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of action 1 (15) by the remainder (13).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (1) is the GCF of 15 and also 28.

GCF that 15 and also 28 through Listing typical Factors

Factors of 15: 1, 3, 5, 15Factors the 28: 1, 2, 4, 7, 14, 28

Since, 1 is the only typical factor between 15 and also 28. The Greatest typical Factor of 15 and 28 is 1.

GCF that 15 and also 28 by prime Factorization

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Prime factorization of 15 and also 28 is (3 × 5) and (2 × 2 × 7) respectively. Together visible, there are no common prime factors between 15 and 28, i.e. They room co-prime. Hence, the GCF of 15 and 28 will be 1.

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GCF that 15 and also 28 Examples


Example 1: uncover the GCF the 15 and 28, if their LCM is 420.

Solution:

∵ LCM × GCF = 15 × 28⇒ GCF(15, 28) = (15 × 28)/420 = 1Therefore, the greatest usual factor of 15 and also 28 is 1.


Example 2: The product of two numbers is 420. If your GCF is 1, what is their LCM?

Solution:

Given: GCF = 1 and also product of number = 420∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 420/1Therefore, the LCM is 420.


Example 3: find the best number the divides 15 and 28 exactly.

Solution:

The biggest number that divides 15 and 28 precisely is your greatest usual factor, i.e. GCF that 15 and also 28.⇒ factors of 15 and 28:

Factors of 15 = 1, 3, 5, 15Factors that 28 = 1, 2, 4, 7, 14, 28

Therefore, the GCF that 15 and also 28 is 1.


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FAQs top top GCF of 15 and 28

What is the GCF that 15 and also 28?

The GCF that 15 and 28 is 1. To calculation the GCF (Greatest usual Factor) the 15 and also 28, we require to variable each number (factors of 15 = 1, 3, 5, 15; determinants of 28 = 1, 2, 4, 7, 14, 28) and also choose the greatest element that exactly divides both 15 and also 28, i.e., 1.

How to uncover the GCF the 15 and also 28 by prime Factorization?

To find the GCF that 15 and also 28, us will discover the prime factorization that the provided numbers, i.e. 15 = 3 × 5; 28 = 2 × 2 × 7.⇒ over there is no typical prime element for 15 and also 28. Hence, GCF (15, 28) = 1.☛ element Numbers

How to discover the GCF that 15 and also 28 through Long division Method?

To discover the GCF that 15, 28 utilizing long department method, 28 is separated by 15. The corresponding divisor (1) when remainder amounts to 0 is taken as GCF.

What is the Relation between LCM and GCF of 15, 28?

The adhering to equation deserve to be offered to express the relation in between LCM and GCF that 15 and 28, i.e. GCF × LCM = 15 × 28.

If the GCF that 28 and also 15 is 1, find its LCM.

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GCF(28, 15) × LCM(28, 15) = 28 × 15Since the GCF of 28 and 15 = 1⇒ 1 × LCM(28, 15) = 420Therefore, LCM = 420☛ GCF Calculator

What space the methods to find GCF that 15 and also 28?

There are three frequently used methods to uncover the GCF the 15 and 28.