GCF of 12 and also 24 is the largest feasible number that divides 12 and also 24 precisely without any remainder. The determinants of 12 and 24 room 1, 2, 3, 4, 6, 12 and also 1, 2, 3, 4, 6, 8, 12, 24 respectively. There are 3 typically used methods to discover the GCF the 12 and also 24 - Euclidean algorithm, lengthy division, and prime factorization.

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1.GCF of 12 and also 24
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF of 12 and also 24 is 12.

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Explanation:

The GCF of two non-zero integers, x(12) and y(24), is the biggest positive integer m(12) the divides both x(12) and y(24) without any remainder.


The methods to uncover the GCF of 12 and 24 are defined below.

Long department MethodPrime factorization MethodListing typical Factors

GCF the 12 and also 24 by long Division

GCF that 12 and also 24 is the divisor that we gain when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: because the remainder = 0, the divisor (12) is the GCF the 12 and also 24.

The corresponding divisor (12) is the GCF the 12 and 24.

GCF of 12 and also 24 by element Factorization

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Prime factorization of 12 and 24 is (2 × 2 × 3) and (2 × 2 × 2 × 3) respectively. Together visible, 12 and 24 have typical prime factors. Hence, the GCF the 12 and 24 is 2 × 2 × 3 = 12.

GCF of 12 and also 24 through Listing common Factors

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

There space 6 typical factors of 12 and 24, that are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor of 12 and also 24 is 12.

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GCF of 12 and also 24 Examples


Example 1: find the GCF that 12 and 24, if your LCM is 24.

Solution:

∵ LCM × GCF = 12 × 24⇒ GCF(12, 24) = (12 × 24)/24 = 12Therefore, the greatest usual factor the 12 and 24 is 12.


Example 2: For 2 numbers, GCF = 12 and also LCM = 24. If one number is 12, find the various other number.

Solution:

Given: GCF (z, 12) = 12 and also LCM (z, 12) = 24∵ GCF × LCM = 12 × (z)⇒ z = (GCF × LCM)/12⇒ z = (12 × 24)/12⇒ z = 24Therefore, the other number is 24.


Example 3: The product of two numbers is 288. If your GCF is 12, what is your LCM?

Solution:

Given: GCF = 12 and also product of number = 288∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 288/12Therefore, the LCM is 24.


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FAQs ~ above GCF of 12 and 24

What is the GCF the 12 and 24?

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

What is the Relation in between LCM and GCF of 12, 24?

The adhering to equation can be offered to refer the relation in between LCM (Least usual Multiple) and also GCF that 12 and 24, i.e. GCF × LCM = 12 × 24.

If the GCF that 24 and also 12 is 12, uncover its LCM.

GCF(24, 12) × LCM(24, 12) = 24 × 12Since the GCF the 24 and also 12 = 12⇒ 12 × LCM(24, 12) = 288Therefore, LCM = 24☛ GCF Calculator

What space the approaches to find GCF the 12 and 24?

There room three commonly used approaches to uncover the GCF that 12 and also 24.

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By Euclidean AlgorithmBy element FactorizationBy long Division

How to find the GCF of 12 and also 24 by Long division Method?

To uncover the GCF that 12, 24 utilizing long department method, 24 is separated by 12. The corresponding divisor (12) when remainder equates to 0 is taken together GCF.

How to discover the GCF of 12 and 24 by prime Factorization?

To find the GCF that 12 and also 24, we will uncover the element factorization that the provided numbers, i.e. 12 = 2 × 2 × 3; 24 = 2 × 2 × 2 × 3.⇒ because 2, 2, 3 are usual terms in the element factorization the 12 and also 24. Hence, GCF(12, 24) = 2 × 2 × 3 = 12☛ What room Prime Numbers?