GCF the 4 and 8 is the largest feasible number that divides 4 and 8 exactly without any kind of remainder. The factors of 4 and 8 room 1, 2, 4 and also 1, 2, 4, 8 respectively. There are 3 commonly used methods to discover the GCF of 4 and also 8 - element factorization, long division, and Euclidean algorithm.

You are watching: What is the gcf of 4 and 8

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

Answer: GCF of 4 and also 8 is 4.

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Explanation:

The GCF of 2 non-zero integers, x(4) and also y(8), is the best positive essence m(4) the divides both x(4) and also y(8) without any remainder.


Let's look in ~ the different methods for finding the GCF of 4 and also 8.

Prime administrate MethodUsing Euclid's AlgorithmListing usual Factors

GCF the 4 and also 8 by element Factorization

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

GCF the 4 and also 8 through Euclidean Algorithm

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

Here X = 8 and Y = 4

GCF(8, 4) = GCF(4, 8 mode 4) = GCF(4, 0)GCF(4, 0) = 4 (∵ GCF(X, 0) = |X|, whereby X ≠ 0)

Therefore, the value of GCF the 4 and also 8 is 4.

GCF that 4 and also 8 by Listing typical Factors

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Factors the 4: 1, 2, 4Factors that 8: 1, 2, 4, 8

There are 3 usual factors the 4 and also 8, that space 1, 2, and 4. Therefore, the greatest common factor that 4 and also 8 is 4.

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GCF of 4 and 8 Examples


Example 1: find the GCF of 4 and also 8, if your LCM is 8.

Solution:

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


Example 2: find the greatest number that divides 4 and also 8 exactly.

Solution:

The best number the divides 4 and 8 precisely is your greatest common factor, i.e. GCF of 4 and 8.⇒ components of 4 and also 8:

Factors that 4 = 1, 2, 4Factors that 8 = 1, 2, 4, 8

Therefore, the GCF that 4 and 8 is 4.


Example 3: For 2 numbers, GCF = 4 and LCM = 8. If one number is 4, discover the various other number.

Solution:

Given: GCF (y, 4) = 4 and LCM (y, 4) = 8∵ GCF × LCM = 4 × (y)⇒ y = (GCF × LCM)/4⇒ y = (4 × 8)/4⇒ y = 8Therefore, the various other number is 8.


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FAQs on GCF the 4 and also 8

What is the GCF that 4 and also 8?

The GCF that 4 and also 8 is 4. To calculate the greatest common factor that 4 and 8, we need to variable each number (factors of 4 = 1, 2, 4; components of 8 = 1, 2, 4, 8) and choose the greatest element that specifically divides both 4 and 8, i.e., 4.

How to discover the GCF that 4 and 8 by Long division Method?

To discover the GCF that 4, 8 using long division method, 8 is separated by 4. The corresponding divisor (4) once remainder equates to 0 is taken as GCF.

If the GCF the 8 and 4 is 4, find its LCM.

GCF(8, 4) × LCM(8, 4) = 8 × 4Since the GCF the 8 and also 4 = 4⇒ 4 × LCM(8, 4) = 32Therefore, LCM = 8☛ Greatest common Factor Calculator

What space the techniques to discover GCF the 4 and also 8?

There room three typically used techniques to uncover the GCF of 4 and also 8.

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By prime FactorizationBy lengthy DivisionBy Euclidean Algorithm

What is the Relation in between LCM and also GCF of 4, 8?

The complying with equation can be used to to express the relation in between Least typical Multiple and also GCF that 4 and 8, i.e. GCF × LCM = 4 × 8.

How to uncover the GCF of 4 and 8 by element Factorization?

To find the GCF of 4 and 8, us will find the element factorization of the given numbers, i.e. 4 = 2 × 2; 8 = 2 × 2 × 2.⇒ because 2, 2 are common terms in the element factorization the 4 and 8. Hence, GCF(4, 8) = 2 × 2 = 4☛ What is a prime Number?