GCF that 8 and also 20 is the largest possible number the divides 8 and 20 exactly without any type of remainder. The determinants of 8 and 20 space 1, 2, 4, 8 and also 1, 2, 4, 5, 10, 20 respectively. There room 3 typically used techniques to discover the GCF the 8 and also 20 - long division, Euclidean algorithm, and also prime factorization.

You are watching: Greatest common factor of 20 and 8

1.GCF the 8 and also 20
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 8 and also 20 is 4.

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Explanation:

The GCF of 2 non-zero integers, x(8) and also y(20), is the best positive creature m(4) the divides both x(8) and y(20) without any remainder.


Let's look at the different methods because that finding the GCF the 8 and also 20.

Long department MethodListing common FactorsPrime factorization Method

GCF of 8 and 20 by long Division

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GCF of 8 and also 20 is the divisor the we get when the remainder becomes 0 after doing long department repeatedly.

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

The matching divisor (4) is the GCF the 8 and also 20.

GCF of 8 and also 20 through Listing common Factors

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Factors the 8: 1, 2, 4, 8Factors of 20: 1, 2, 4, 5, 10, 20

There room 3 usual factors of 8 and also 20, that are 1, 2, and 4. Therefore, the greatest usual factor that 8 and 20 is 4.

GCF that 8 and also 20 by element Factorization

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Prime administrate of 8 and 20 is (2 × 2 × 2) and (2 × 2 × 5) respectively. As visible, 8 and also 20 have common prime factors. Hence, the GCF that 8 and 20 is 2 × 2 = 4.

☛ also Check:


GCF that 8 and 20 Examples


Example 1: For 2 numbers, GCF = 4 and also LCM = 40. If one number is 8, discover the other number.

Solution:

Given: GCF (y, 8) = 4 and also LCM (y, 8) = 40∵ GCF × LCM = 8 × (y)⇒ y = (GCF × LCM)/8⇒ y = (4 × 40)/8⇒ y = 20Therefore, the other number is 20.


Example 2: uncover the GCF the 8 and also 20, if your LCM is 40.

Solution:

∵ LCM × GCF = 8 × 20⇒ GCF(8, 20) = (8 × 20)/40 = 4Therefore, the greatest common factor of 8 and 20 is 4.


Example 3: discover the biggest number the divides 8 and also 20 exactly.

Solution:

The greatest number the divides 8 and also 20 precisely is your greatest usual factor, i.e. GCF that 8 and 20.⇒ determinants of 8 and 20:

Factors that 8 = 1, 2, 4, 8Factors of 20 = 1, 2, 4, 5, 10, 20

Therefore, the GCF that 8 and 20 is 4.


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FAQs on GCF that 8 and 20

What is the GCF that 8 and also 20?

The GCF the 8 and 20 is 4. To calculate the greatest usual factor that 8 and 20, we need to factor each number (factors the 8 = 1, 2, 4, 8; factors of 20 = 1, 2, 4, 5, 10, 20) and also choose the greatest aspect that exactly divides both 8 and also 20, i.e., 4.

What is the Relation between LCM and GCF that 8, 20?

The following equation can be used to express the relation between LCM (Least common Multiple) and also GCF that 8 and also 20, i.e. GCF × LCM = 8 × 20.

How to discover the GCF the 8 and also 20 by Long division Method?

To discover the GCF the 8, 20 utilizing long division method, 20 is divided by 8. The corresponding divisor (4) as soon as remainder equals 0 is taken as GCF.

What are the methods to uncover GCF the 8 and also 20?

There space three frequently used approaches to uncover the GCF the 8 and also 20.

See more: How Much Does A Cup Of Coconut Oil Weigh Ts And Measures Primer

By element FactorizationBy long DivisionBy Euclidean Algorithm

If the GCF the 20 and also 8 is 4, discover its LCM.

GCF(20, 8) × LCM(20, 8) = 20 × 8Since the GCF the 20 and also 8 = 4⇒ 4 × LCM(20, 8) = 160Therefore, LCM = 40☛ GCF Calculator

How to uncover the GCF the 8 and also 20 by prime Factorization?

To discover the GCF of 8 and 20, we will uncover the prime factorization of the provided numbers, i.e. 8 = 2 × 2 × 2; 20 = 2 × 2 × 5.⇒ since 2, 2 are usual terms in the element factorization that 8 and 20. Hence, GCF(8, 20) = 2 × 2 = 4☛ What is a element Number?