GCF that 24 and also 48 is the largest possible number that divides 24 and also 48 precisely without any remainder. The factors of 24 and 48 space 1, 2, 3, 4, 6, 8, 12, 24 and also 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 respectively. There are 3 frequently used approaches to find the GCF the 24 and also 48 - lengthy division, Euclidean algorithm, and prime factorization.

You are watching: Greatest common factor of 24 and 48

1.GCF of 24 and 48
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 24 and 48 is 24.

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Explanation:

The GCF of two non-zero integers, x(24) and y(48), is the best positive integer m(24) the divides both x(24) and y(48) without any kind of remainder.


The methods to discover the GCF that 24 and also 48 are explained below.

Prime factorization MethodListing usual FactorsLong division Method

GCF that 24 and also 48 by element Factorization

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Prime administer of 24 and also 48 is (2 × 2 × 2 × 3) and (2 × 2 × 2 × 2 × 3) respectively. Together visible, 24 and also 48 have common prime factors. Hence, the GCF that 24 and also 48 is 2 × 2 × 2 × 3 = 24.

GCF that 24 and also 48 by Listing common Factors

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Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

There room 8 typical factors that 24 and 48, that room 1, 2, 3, 4, 6, 8, 12, and 24. Therefore, the greatest typical factor of 24 and also 48 is 24.

GCF of 24 and 48 by long Division

GCF that 24 and also 48 is the divisor that we obtain when the remainder i do not care 0 after doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (24) is the GCF of 24 and 48.

The corresponding divisor (24) is the GCF of 24 and 48.

☛ likewise Check:


GCF that 24 and also 48 Examples


Example 1: The product of 2 numbers is 1152. If your GCF is 24, what is their LCM?

Solution:

Given: GCF = 24 and also product of number = 1152∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 1152/24Therefore, the LCM is 48.


Example 2: uncover the greatest number that divides 24 and also 48 exactly.

Solution:

The biggest number the divides 24 and 48 exactly is your greatest common factor, i.e. GCF that 24 and 48.⇒ determinants of 24 and 48:

Factors the 24 = 1, 2, 3, 4, 6, 8, 12, 24Factors the 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Therefore, the GCF that 24 and 48 is 24.


Example 3: discover the GCF the 24 and 48, if their LCM is 48.

Solution:

∵ LCM × GCF = 24 × 48⇒ GCF(24, 48) = (24 × 48)/48 = 24Therefore, the greatest common factor the 24 and also 48 is 24.


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FAQs on GCF that 24 and 48

What is the GCF the 24 and 48?

The GCF the 24 and also 48 is 24. To calculate the greatest typical factor (GCF) of 24 and also 48, we need to aspect each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; components of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48) and also choose the greatest factor that specifically divides both 24 and also 48, i.e., 24.

What are the methods to uncover GCF of 24 and also 48?

There are three generally used methods to discover the GCF that 24 and 48.

By prime FactorizationBy lengthy DivisionBy Euclidean Algorithm

How to uncover the GCF that 24 and also 48 by Long division Method?

To find the GCF of 24, 48 making use of long division method, 48 is separated by 24. The equivalent divisor (24) once remainder equals 0 is taken as GCF.

What is the Relation between LCM and also GCF of 24, 48?

The adhering to equation have the right to be offered to refer the relation between LCM and also GCF that 24 and 48, i.e. GCF × LCM = 24 × 48.

See more: What Are The Factors Of 115, Factors Of 115 And Factors Of 116

How to find the GCF that 24 and 48 by prime Factorization?

To discover the GCF the 24 and also 48, us will uncover the prime factorization the the given numbers, i.e. 24 = 2 × 2 × 2 × 3; 48 = 2 × 2 × 2 × 2 × 3.⇒ because 2, 2, 2, 3 are common terms in the prime factorization the 24 and also 48. Hence, GCF(24, 48) = 2 × 2 × 2 × 3 = 24☛ element Numbers

If the GCF of 48 and also 24 is 24, find its LCM.

GCF(48, 24) × LCM(48, 24) = 48 × 24Since the GCF of 48 and 24 = 24⇒ 24 × LCM(48, 24) = 1152Therefore, LCM = 48☛ GCF Calculator