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

You are watching: Greatest common factor of 8 and 24

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

Answer: GCF that 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 greatest positive integer m(8) that divides both x(8) and y(24) without any remainder.


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

Long department MethodPrime administrate MethodListing usual Factors

GCF of 8 and also 24 by long Division

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GCF the 8 and also 24 is the divisor the we acquire when the remainder i do not care 0 after doing long division repeatedly.

Step 2: because the remainder = 0, the divisor (8) is the GCF that 8 and 24.

The corresponding divisor (8) is the GCF of 8 and also 24.

GCF that 8 and also 24 by element Factorization

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

GCF that 8 and 24 by Listing typical Factors

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

There room 4 common factors of 8 and 24, that room 8, 1, 2, and also 4. Therefore, the greatest usual factor of 8 and 24 is 8.

☛ likewise Check:


GCF of 8 and also 24 Examples


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

Solution:

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


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

Solution:

The biggest number the divides 8 and 24 precisely is their greatest usual factor, i.e. GCF of 8 and also 24.⇒ components of 8 and 24:

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

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


Example 3: find 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 common factor that 8 and 24 is 8.


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FAQs ~ above GCF of 8 and also 24

What is the GCF that 8 and 24?

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

If the GCF of 24 and 8 is 8, find its LCM.

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

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

The complying with equation can be used to refer the relation in between LCM (Least common Multiple) and also GCF of 8 and 24, i.e. GCF × LCM = 8 × 24.

What space the approaches to discover GCF the 8 and also 24?

There room three generally used techniques to find the GCF the 8 and 24.

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By Listing common FactorsBy lengthy DivisionBy element Factorization

How to uncover the GCF of 8 and 24 by prime Factorization?

To uncover the GCF the 8 and 24, us will find the element factorization of the provided numbers, i.e. 8 = 2 × 2 × 2; 24 = 2 × 2 × 2 × 3.⇒ because 2, 2, 2 are typical terms in the prime factorization of 8 and also 24. Hence, GCF(8, 24) = 2 × 2 × 2 = 8☛ prime Number

How to find the GCF that 8 and also 24 through Long division Method?

To discover the GCF the 8, 24 using long division method, 24 is split by 8. The corresponding divisor (8) when remainder equates to 0 is taken together GCF.