GCF the 8 and 28 is the largest feasible number the divides 8 and also 28 precisely without any remainder. The factors of 8 and also 28 room 1, 2, 4, 8 and also 1, 2, 4, 7, 14, 28 respectively. There room 3 generally used methods to find the GCF of 8 and also 28 - prime factorization, Euclidean algorithm, and also long division.

You are watching: Greatest common factor of 8 and 28

1.GCF the 8 and also 28
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF of 8 and also 28 is 4.

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Explanation:

The GCF of 2 non-zero integers, x(8) and y(28), is the greatest positive integer m(4) the divides both x(8) and y(28) without any type of remainder.


The approaches to uncover the GCF that 8 and also 28 are explained below.

Prime factorization MethodLong department MethodListing common Factors

GCF the 8 and also 28 by prime Factorization

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Prime administer of 8 and also 28 is (2 × 2 × 2) and (2 × 2 × 7) respectively. As visible, 8 and 28 have typical prime factors. Hence, the GCF of 8 and also 28 is 2 × 2 = 4.

GCF that 8 and 28 by long Division

GCF that 8 and also 28 is the divisor the we get when the remainder becomes 0 after doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of step 1 (8) by the remainder (4).Step 3: Repeat this process until the remainder = 0.

The matching divisor (4) is the GCF the 8 and 28.

GCF that 8 and 28 by Listing typical Factors

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

There are 3 common factors of 8 and 28, that room 1, 2, and also 4. Therefore, the greatest typical factor that 8 and also 28 is 4.

☛ likewise Check:


GCF of 8 and also 28 Examples


Example 1: find the GCF of 8 and 28, if their LCM is 56.

Solution:

∵ LCM × GCF = 8 × 28⇒ GCF(8, 28) = (8 × 28)/56 = 4Therefore, the greatest common factor of 8 and also 28 is 4.


Example 2: The product of 2 numbers is 224. If their GCF is 4, what is your LCM?

Solution:

Given: GCF = 4 and also product of number = 224∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 224/4Therefore, the LCM is 56.


Example 3: uncover the greatest number that divides 8 and also 28 exactly.

Solution:

The greatest number that divides 8 and 28 specifically is their greatest common factor, i.e. GCF that 8 and 28.⇒ components of 8 and also 28:

Factors the 8 = 1, 2, 4, 8Factors the 28 = 1, 2, 4, 7, 14, 28

Therefore, the GCF the 8 and 28 is 4.


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FAQs on GCF the 8 and 28

What is the GCF of 8 and 28?

The GCF of 8 and also 28 is 4. To calculation the GCF (Greatest common Factor) of 8 and also 28, we need to aspect each number (factors the 8 = 1, 2, 4, 8; determinants of 28 = 1, 2, 4, 7, 14, 28) and also choose the greatest element that specifically divides both 8 and 28, i.e., 4.

What are the approaches to uncover GCF the 8 and 28?

There room three frequently used methods to discover the GCF the 8 and 28.

By Euclidean AlgorithmBy lengthy DivisionBy prime Factorization

How to find the GCF that 8 and 28 by prime Factorization?

To uncover the GCF the 8 and also 28, we will discover the element factorization of the given numbers, i.e. 8 = 2 × 2 × 2; 28 = 2 × 2 × 7.⇒ since 2, 2 are usual terms in the prime factorization the 8 and also 28. Hence, GCF(8, 28) = 2 × 2 = 4☛ prime Number

If the GCF the 28 and 8 is 4, discover its LCM.

GCF(28, 8) × LCM(28, 8) = 28 × 8Since the GCF that 28 and also 8 = 4⇒ 4 × LCM(28, 8) = 224Therefore, LCM = 56☛ Greatest typical Factor Calculator

What is the Relation in between LCM and GCF of 8, 28?

The following equation deserve to be used to express the relation between Least typical Multiple (LCM) and also GCF that 8 and also 28, i.e. GCF × LCM = 8 × 28.

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How to uncover the GCF the 8 and also 28 through Long department Method?

To discover the GCF the 8, 28 making use of long division method, 28 is separated by 8. The corresponding divisor (4) when remainder equals 0 is taken together GCF.