GCF the 28 and 56 is the largest feasible number that divides 28 and also 56 precisely without any type of remainder. The components of 28 and also 56 are 1, 2, 4, 7, 14, 28 and also 1, 2, 4, 7, 8, 14, 28, 56 respectively. There space 3 typically used methods to find the GCF that 28 and also 56 - Euclidean algorithm, element factorization, and long division.

You are watching: What is the gcf of 28 and 56

1.GCF of 28 and also 56
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF of 28 and also 56 is 28.

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Explanation:

The GCF of 2 non-zero integers, x(28) and y(56), is the greatest positive integer m(28) the divides both x(28) and y(56) without any kind of remainder.


The methods to uncover the GCF the 28 and 56 are explained below.

Long department MethodListing usual FactorsUsing Euclid's Algorithm

GCF that 28 and 56 by lengthy Division

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GCF the 28 and also 56 is the divisor that we obtain when the remainder i do not care 0 after ~ doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (28) is the GCF of 28 and also 56.

The corresponding divisor (28) is the GCF the 28 and 56.

GCF that 28 and 56 through Listing usual Factors

Factors of 28: 1, 2, 4, 7, 14, 28Factors that 56: 1, 2, 4, 7, 8, 14, 28, 56

There room 6 typical factors the 28 and also 56, that are 1, 2, 4, 7, 14, and 28. Therefore, the greatest common factor of 28 and also 56 is 28.

GCF of 28 and also 56 by Euclidean Algorithm

As every the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mode Y)where X > Y and also mod is the modulo operator.

Here X = 56 and also Y = 28

GCF(56, 28) = GCF(28, 56 mode 28) = GCF(28, 0)GCF(28, 0) = 28 (∵ GCF(X, 0) = |X|, wherein X ≠ 0)

Therefore, the worth of GCF that 28 and also 56 is 28.

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GCF of 28 and also 56 Examples


Example 1: The product of two numbers is 1568. If their GCF is 28, what is their LCM?

Solution:

Given: GCF = 28 and product of number = 1568∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 1568/28Therefore, the LCM is 56.


Example 2: discover the greatest number the divides 28 and 56 exactly.

Solution:

The best number that divides 28 and 56 precisely is their greatest common factor, i.e. GCF of 28 and also 56.⇒ factors of 28 and 56:

Factors of 28 = 1, 2, 4, 7, 14, 28Factors that 56 = 1, 2, 4, 7, 8, 14, 28, 56

Therefore, the GCF that 28 and also 56 is 28.


Example 3: discover the GCF that 28 and 56, if your LCM is 56.

Solution:

∵ LCM × GCF = 28 × 56⇒ GCF(28, 56) = (28 × 56)/56 = 28Therefore, the greatest typical factor that 28 and also 56 is 28.


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FAQs top top GCF of 28 and also 56

What is the GCF that 28 and 56?

The GCF the 28 and also 56 is 28. To calculate the greatest usual factor (GCF) of 28 and also 56, we need to aspect each number (factors of 28 = 1, 2, 4, 7, 14, 28; determinants of 56 = 1, 2, 4, 7, 8, 14, 28, 56) and also choose the greatest variable that exactly divides both 28 and also 56, i.e., 28.

If the GCF the 56 and 28 is 28, uncover its LCM.

GCF(56, 28) × LCM(56, 28) = 56 × 28Since the GCF that 56 and 28 = 28⇒ 28 × LCM(56, 28) = 1568Therefore, LCM = 56☛ GCF Calculator

What is the Relation in between LCM and GCF the 28, 56?

The following equation deserve to be used to express the relation in between Least typical Multiple (LCM) and GCF that 28 and 56, i.e. GCF × LCM = 28 × 56.

How to uncover the GCF the 28 and also 56 by element Factorization?

To find the GCF that 28 and 56, us will uncover the prime factorization of the given numbers, i.e. 28 = 2 × 2 × 7; 56 = 2 × 2 × 2 × 7.⇒ since 2, 2, 7 are typical terms in the element factorization of 28 and also 56. Hence, GCF(28, 56) = 2 × 2 × 7 = 28☛ What room Prime Numbers?

How to discover the GCF of 28 and also 56 through Long department Method?

To uncover the GCF the 28, 56 making use of long division method, 56 is divided by 28. The matching divisor (28) when remainder amounts to 0 is taken together GCF.

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What are the techniques to uncover GCF the 28 and 56?

There room three frequently used methods to uncover the GCF of 28 and also 56.