GCF that 12 and 18 is the largest possible number the divides 12 and also 18 exactly without any type of remainder. The components of 12 and 18 space 1, 2, 3, 4, 6, 12 and also 1, 2, 3, 6, 9, 18 respectively. There room 3 typically used methods to uncover the GCF the 12 and 18 - element factorization, long division, and also Euclidean algorithm.

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

Answer: GCF the 12 and also 18 is 6.

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Explanation:

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


Let's look at the different methods because that finding the GCF of 12 and also 18.

Long department MethodPrime factorization MethodListing usual Factors

GCF the 12 and 18 by long Division

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GCF that 12 and 18 is the divisor the we acquire when the remainder i do not care 0 after ~ doing long department repeatedly.

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

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

GCF the 12 and 18 by element Factorization

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

GCF the 12 and also 18 by Listing common Factors

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

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

☛ additionally Check:


GCF the 12 and also 18 Examples


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

Solution:

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


Example 2: uncover the biggest number the divides 12 and 18 exactly.

Solution:

The greatest number that divides 12 and also 18 precisely is your greatest common factor, i.e. GCF the 12 and also 18.⇒ factors of 12 and also 18:

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

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


Example 3: For two numbers, GCF = 6 and 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 the 12 and also 18?

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

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

The following equation have the right to be supplied to express the relation between LCM and also GCF of 12 and 18, i.e. GCF × LCM = 12 × 18.

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

To find the GCF that 12, 18 using long department method, 18 is divided by 12. The corresponding divisor (6) once remainder equals 0 is taken as GCF.

What room the techniques to discover GCF the 12 and 18?

There are three commonly used methods to uncover the GCF the 12 and also 18.

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By element FactorizationBy Euclidean AlgorithmBy long Division

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

To uncover the GCF the 12 and also 18, us will uncover the element factorization of the given numbers, i.e. 12 = 2 × 2 × 3; 18 = 2 × 3 × 3.⇒ since 2, 3 are usual terms in the element factorization of 12 and 18. Hence, GCF(12, 18) = 2 × 3 = 6☛ What space Prime Numbers?

If the GCF that 18 and 12 is 6, find its LCM.

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