GCF of 8 and also 20 is the largest possible number that divides 8 and 20 specifically without any type of remainder. The factors of 8 and 20 space 1, 2, 4, 8 and also 1, 2, 4, 5, 10, 20 respectively. There space 3 frequently used approaches to find the GCF that 8 and also 20 - long division, Euclidean algorithm, and prime factorization.

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

Answer: GCF the 8 and also 20 is 4.

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Explanation:

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


Let's look in ~ the various methods because that finding the GCF the 8 and also 20.

Long department MethodListing common FactorsPrime administer Method

GCF the 8 and also 20 by lengthy Division

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GCF of 8 and 20 is the divisor the we gain when the remainder i do not care 0 ~ doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of step 1 (8) by the remainder (4).Step 3: Repeat this procedure until the remainder = 0.

The equivalent divisor (4) is the GCF that 8 and 20.

GCF the 8 and 20 through Listing usual Factors

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

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

GCF of 8 and 20 by prime Factorization

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Prime administer of 8 and also 20 is (2 × 2 × 2) and (2 × 2 × 5) respectively. Together visible, 8 and also 20 have typical prime factors. Hence, the GCF of 8 and 20 is 2 × 2 = 4.

☛ additionally Check:


GCF the 8 and also 20 Examples


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

Solution:

Given: GCF (y, 8) = 4 and 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 that 8 and also 20, if your LCM is 40.

Solution:

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


Example 3: find the best number the divides 8 and 20 exactly.

Solution:

The biggest number that divides 8 and also 20 specifically is your greatest common factor, i.e. GCF the 8 and 20.⇒ components of 8 and 20:

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

Therefore, the GCF of 8 and also 20 is 4.


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FAQs on GCF that 8 and 20

What is the GCF the 8 and also 20?

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

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

The adhering to equation have the right to be used to express the relation in between LCM (Least usual Multiple) and also GCF the 8 and also 20, i.e. GCF × LCM = 8 × 20.

How to uncover the GCF of 8 and 20 by Long division Method?

To uncover the GCF the 8, 20 using long department method, 20 is split by 8. The matching divisor (4) when remainder equates to 0 is taken together GCF.

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

There room three typically used approaches to discover the GCF the 8 and 20.

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By prime FactorizationBy long DivisionBy Euclidean Algorithm

If the GCF that 20 and also 8 is 4, uncover 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 find the GCF the 8 and 20 by prime Factorization?

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