GCF of 18 and also 24 is the largest feasible number the divides 18 and also 24 exactly without any kind of remainder. The components of 18 and also 24 room 1, 2, 3, 6, 9, 18 and 1, 2, 3, 4, 6, 8, 12, 24 respectively. There space 3 frequently used approaches to find the GCF of 18 and 24 - Euclidean algorithm, element factorization, and long division.

You are watching: The gcf of 18 and 24

1.GCF that 18 and 24
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF that 18 and 24 is 6.

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Explanation:

The GCF of 2 non-zero integers, x(18) and y(24), is the greatest positive creature m(6) the divides both x(18) and also y(24) without any remainder.


Let's look in ~ the different methods because that finding the GCF that 18 and 24.

Prime factorization MethodLong department MethodListing typical Factors

GCF that 18 and also 24 by element Factorization

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Prime administer of 18 and 24 is (2 × 3 × 3) and (2 × 2 × 2 × 3) respectively. As visible, 18 and 24 have common prime factors. Hence, the GCF that 18 and 24 is 2 × 3 = 6.

GCF of 18 and 24 by lengthy Division

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GCF that 18 and 24 is the divisor the we get when the remainder i do not care 0 ~ doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will certainly divide the divisor of action 1 (18) by the remainder (6).Step 3: Repeat this process until the remainder = 0.

The equivalent divisor (6) is the GCF the 18 and 24.

GCF of 18 and also 24 by Listing typical Factors

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Factors that 18: 1, 2, 3, 6, 9, 18Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

There space 4 common factors of 18 and also 24, that space 1, 2, 3, and 6. Therefore, the greatest usual factor the 18 and also 24 is 6.

☛ also Check:


GCF the 18 and also 24 Examples


Example 1: uncover the greatest number the divides 18 and also 24 exactly.

Solution:

The greatest number that divides 18 and 24 specifically is your greatest usual factor, i.e. GCF that 18 and 24.⇒ components of 18 and also 24:

Factors of 18 = 1, 2, 3, 6, 9, 18Factors the 24 = 1, 2, 3, 4, 6, 8, 12, 24

Therefore, the GCF the 18 and 24 is 6.


Example 2: The product of two numbers is 432. If your GCF is 6, what is your LCM?

Solution:

Given: GCF = 6 and product of numbers = 432∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 432/6Therefore, the LCM is 72.


Example 3: find the GCF that 18 and 24, if their LCM is 72.

Solution:

∵ LCM × GCF = 18 × 24⇒ GCF(18, 24) = (18 × 24)/72 = 6Therefore, the greatest usual factor the 18 and 24 is 6.


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FAQs on GCF that 18 and 24

What is the GCF the 18 and 24?

The GCF of 18 and 24 is 6. To calculation the greatest common factor the 18 and 24, we require to aspect each number (factors the 18 = 1, 2, 3, 6, 9, 18; determinants of 24 = 1, 2, 3, 4, 6, 8, 12, 24) and also choose the greatest factor that precisely divides both 18 and also 24, i.e., 6.

What space the approaches to uncover GCF of 18 and also 24?

There room three commonly used techniques to find the GCF the 18 and also 24.

By element FactorizationBy Euclidean AlgorithmBy lengthy Division

What is the Relation between LCM and GCF the 18, 24?

The adhering to equation deserve to be provided to express the relation between LCM and GCF that 18 and 24, i.e. GCF × LCM = 18 × 24.

How to find the GCF that 18 and 24 through Long division Method?

To uncover the GCF that 18, 24 using long division method, 24 is divided by 18. The matching divisor (6) as soon as remainder amounts to 0 is taken as GCF.

See more: Oem Suzuki Ozark 250 Rear End Diagram, Suzuki Ozark

How to discover the GCF that 18 and 24 by element Factorization?

To uncover the GCF of 18 and also 24, we will uncover the prime factorization the the given numbers, i.e. 18 = 2 × 3 × 3; 24 = 2 × 2 × 2 × 3.⇒ due to the fact that 2, 3 are typical terms in the element factorization that 18 and 24. Hence, GCF(18, 24) = 2 × 3 = 6☛ prime Number

If the GCF of 24 and also 18 is 6, find its LCM.

GCF(24, 18) × LCM(24, 18) = 24 × 18Since the GCF that 24 and 18 = 6⇒ 6 × LCM(24, 18) = 432Therefore, LCM = 72☛ Greatest usual Factor Calculator