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

You are watching: Common factors of 8 and 20

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

Answer: GCF that 8 and 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 integer m(4) that divides both x(8) and also y(20) without any type of remainder.


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

Long department MethodListing common FactorsPrime administer Method

GCF of 8 and 20 by long Division

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

Step 2: because 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 equivalent divisor (4) is the GCF of 8 and also 20.

GCF of 8 and also 20 by Listing typical Factors

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

There space 3 usual factors that 8 and also 20, that space 1, 2, and 4. Therefore, the greatest common factor the 8 and also 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 also (2 × 2 × 5) respectively. As visible, 8 and 20 have usual prime factors. Hence, the GCF of 8 and also 20 is 2 × 2 = 4.

☛ additionally Check:


GCF of 8 and 20 Examples


Example 1: For 2 numbers, GCF = 4 and also LCM = 40. If one number is 8, find 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 various other number is 20.


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

Solution:

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


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

Solution:

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

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

Therefore, the GCF the 8 and 20 is 4.


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FAQs top top GCF the 8 and 20

What is the GCF of 8 and 20?

The GCF the 8 and also 20 is 4. To calculation the greatest usual factor that 8 and also 20, we need to variable each number (factors of 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 in between LCM and GCF of 8, 20?

The adhering to equation deserve to be offered to express the relation between LCM (Least typical Multiple) and GCF the 8 and 20, i.e. GCF × LCM = 8 × 20.

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

To discover the GCF that 8, 20 using long division method, 20 is split by 8. The matching divisor (4) when remainder equals 0 is taken as GCF.

What room the techniques to discover GCF of 8 and 20?

There room three generally used approaches to find the GCF the 8 and 20.

See more: Convert 66 Cm Is Equal To How Many Inches In 66 Cm? Conversion 66 Cm Into Inches

By element FactorizationBy long DivisionBy Euclidean Algorithm

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

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

How to find the GCF of 8 and 20 by prime Factorization?

To discover the GCF the 8 and 20, us will find the element factorization that the provided numbers, i.e. 8 = 2 × 2 × 2; 20 = 2 × 2 × 5.⇒ due to the fact that 2, 2 are common terms in the prime factorization that 8 and 20. Hence, GCF(8, 20) = 2 × 2 = 4☛ What is a prime Number?