GCF of 12 and 18 is the largest feasible number the divides 12 and also 18 specifically without any type of remainder. The factors of 12 and 18 space 1, 2, 3, 4, 6, 12 and 1, 2, 3, 6, 9, 18 respectively. There are 3 frequently used approaches to find the GCF that 12 and 18 - prime factorization, lengthy division, and also Euclidean algorithm.

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1.GCF of 12 and also 18
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 12 and 18 is 6.

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Explanation:

The GCF of 2 non-zero integers, x(12) and also y(18), is the best positive essence m(6) that divides both x(12) and also y(18) without any kind of remainder.


Let's look in ~ the various methods for finding the GCF that 12 and 18.

Long division MethodPrime factorization MethodListing common Factors

GCF of 12 and 18 by lengthy Division

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GCF of 12 and 18 is the divisor that we obtain when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will certainly divide the divisor of action 1 (12) by the remainder (6).Step 3: Repeat this process until the remainder = 0.

The equivalent divisor (6) is the GCF the 12 and 18.

GCF the 12 and also 18 by element Factorization

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Prime factorization of 12 and also 18 is (2 × 2 × 3) and also (2 × 3 × 3) respectively. Together visible, 12 and 18 have typical prime factors. Hence, the GCF of 12 and 18 is 2 × 3 = 6.

GCF the 12 and 18 through Listing usual Factors

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

There room 4 typical factors that 12 and 18, that room 1, 2, 3, and 6. Therefore, the greatest common factor that 12 and also 18 is 6.

☛ additionally Check:


GCF that 12 and also 18 Examples


Example 1: uncover the GCF that 12 and also 18, if your LCM is 36.

Solution:

∵ LCM × GCF = 12 × 18⇒ GCF(12, 18) = (12 × 18)/36 = 6Therefore, the greatest typical factor of 12 and also 18 is 6.


Example 2: find the greatest number the divides 12 and 18 exactly.

Solution:

The biggest number the divides 12 and 18 exactly is your greatest usual factor, i.e. GCF the 12 and 18.⇒ determinants of 12 and 18:

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

Therefore, the GCF of 12 and also 18 is 6.


Example 3: For 2 numbers, GCF = 6 and also LCM = 36. If one number is 12, uncover the other number.

Solution:

Given: GCF (x, 12) = 6 and also LCM (x, 12) = 36∵ GCF × LCM = 12 × (x)⇒ x = (GCF × LCM)/12⇒ x = (6 × 36)/12⇒ x = 18Therefore, the other number is 18.


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FAQs ~ above GCF the 12 and also 18

What is the GCF of 12 and also 18?

The GCF of 12 and also 18 is 6. To calculate the GCF (Greatest usual Factor) that 12 and also 18, we require to aspect each number (factors that 12 = 1, 2, 3, 4, 6, 12; components of 18 = 1, 2, 3, 6, 9, 18) and also choose the greatest aspect that precisely divides both 12 and also 18, i.e., 6.

What is the Relation in between LCM and also GCF of 12, 18?

The adhering to equation can be provided to refer the relation in between LCM and GCF the 12 and also 18, i.e. GCF × LCM = 12 × 18.

How to find the GCF the 12 and also 18 by Long division Method?

To find the GCF of 12, 18 using long department method, 18 is separated by 12. The matching divisor (6) once remainder amounts to 0 is taken together GCF.

What room the methods to find GCF of 12 and also 18?

There room three typically used approaches to find the GCF that 12 and 18.

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By prime FactorizationBy Euclidean AlgorithmBy long Division

How to uncover the GCF of 12 and also 18 by prime Factorization?

To discover the GCF the 12 and also 18, we will uncover the prime factorization the the given numbers, i.e. 12 = 2 × 2 × 3; 18 = 2 × 3 × 3.⇒ due to the fact that 2, 3 are typical terms in the element factorization that 12 and also 18. Hence, GCF(12, 18) = 2 × 3 = 6☛ What are Prime Numbers?

If the GCF of 18 and also 12 is 6, uncover its LCM.

GCF(18, 12) × LCM(18, 12) = 18 × 12Since the GCF the 18 and also 12 = 6⇒ 6 × LCM(18, 12) = 216Therefore, LCM = 36☛ GCF Calculator