GCF the 8 and 24 is the largest possible number that divides 8 and also 24 exactly without any kind of remainder. The components of 8 and 24 room 1, 2, 4, 8 and also 1, 2, 3, 4, 6, 8, 12, 24 respectively. There are 3 frequently used approaches to find the GCF the 8 and 24 - Euclidean algorithm, prime factorization, and long division.

You are watching: What is the gcf of 8 and 24

1.GCF the 8 and 24
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF the 8 and also 24 is 8.

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Explanation:

The GCF of two non-zero integers, x(8) and also y(24), is the biggest positive essence m(8) that divides both x(8) and y(24) without any remainder.


The methods to find the GCF of 8 and 24 are explained below.

Long division MethodPrime administrate MethodListing typical Factors

GCF that 8 and also 24 by lengthy Division

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GCF the 8 and 24 is the divisor the we get when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (8) is the GCF the 8 and also 24.

The matching divisor (8) is the GCF that 8 and also 24.

GCF that 8 and 24 by element Factorization

Prime administer of 8 and 24 is (2 × 2 × 2) and (2 × 2 × 2 × 3) respectively. As visible, 8 and 24 have usual prime factors. Hence, the GCF of 8 and 24 is 2 × 2 × 2 = 8.

GCF that 8 and 24 by Listing usual Factors

Factors the 8: 1, 2, 4, 8Factors the 24: 1, 2, 3, 4, 6, 8, 12, 24

There are 4 typical factors that 8 and 24, that are 8, 1, 2, and 4. Therefore, the greatest usual factor that 8 and also 24 is 8.

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GCF the 8 and 24 Examples


Example 1: For two numbers, GCF = 8 and LCM = 24. If one number is 8, find the various other number.

Solution:

Given: GCF (x, 8) = 8 and LCM (x, 8) = 24∵ GCF × LCM = 8 × (x)⇒ x = (GCF × LCM)/8⇒ x = (8 × 24)/8⇒ x = 24Therefore, the other number is 24.


Example 2: find the best number that divides 8 and also 24 exactly.

Solution:

The best number that divides 8 and also 24 specifically is their greatest common factor, i.e. GCF that 8 and also 24.⇒ determinants of 8 and also 24:

Factors of 8 = 1, 2, 4, 8Factors the 24 = 1, 2, 3, 4, 6, 8, 12, 24

Therefore, the GCF that 8 and also 24 is 8.


Example 3: discover the GCF of 8 and 24, if your LCM is 24.

Solution:

∵ LCM × GCF = 8 × 24⇒ GCF(8, 24) = (8 × 24)/24 = 8Therefore, the greatest typical factor the 8 and 24 is 8.


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FAQs ~ above GCF that 8 and also 24

What is the GCF of 8 and 24?

The GCF the 8 and also 24 is 8. To calculation the GCF that 8 and also 24, we require to variable each number (factors the 8 = 1, 2, 4, 8; components of 24 = 1, 2, 3, 4, 6, 8, 12, 24) and also choose the greatest element that precisely divides both 8 and 24, i.e., 8.

If the GCF the 24 and also 8 is 8, uncover its LCM.

GCF(24, 8) × LCM(24, 8) = 24 × 8Since the GCF the 24 and 8 = 8⇒ 8 × LCM(24, 8) = 192Therefore, LCM = 24☛ GCF Calculator

What is the Relation in between LCM and GCF the 8, 24?

The complying with equation have the right to be offered to express the relation in between LCM (Least usual Multiple) and also GCF the 8 and also 24, i.e. GCF × LCM = 8 × 24.

What room the approaches to uncover GCF that 8 and also 24?

There space three commonly used approaches to uncover the GCF of 8 and 24.

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By Listing common FactorsBy long DivisionBy element Factorization

How to find the GCF the 8 and 24 by element Factorization?

To find the GCF of 8 and also 24, we will find the element factorization that the offered numbers, i.e. 8 = 2 × 2 × 2; 24 = 2 × 2 × 2 × 3.⇒ since 2, 2, 2 are common terms in the element factorization the 8 and 24. Hence, GCF(8, 24) = 2 × 2 × 2 = 8☛ element Number

How to uncover the GCF the 8 and also 24 by Long department Method?

To find the GCF of 8, 24 utilizing long department method, 24 is divided by 8. The equivalent divisor (8) when remainder equates to 0 is taken as GCF.