GCF that 3 and 12 is the largest possible number the divides 3 and also 12 precisely without any kind of remainder. The determinants of 3 and also 12 are 1, 3 and also 1, 2, 3, 4, 6, 12 respectively. There are 3 frequently used techniques to discover the GCF the 3 and 12 - lengthy division, Euclidean algorithm, and also prime factorization.

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

Answer: GCF of 3 and 12 is 3.

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Explanation:

The GCF of two non-zero integers, x(3) and also y(12), is the best positive integer m(3) the divides both x(3) and y(12) without any kind of remainder.


The methods to find the GCF of 3 and also 12 are defined below.

Listing typical FactorsLong department MethodPrime administer Method

GCF of 3 and also 12 through Listing typical Factors

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

There space 2 typical factors that 3 and 12, that are 1 and also 3. Therefore, the greatest usual factor the 3 and also 12 is 3.

GCF that 3 and 12 by long Division

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GCF that 3 and 12 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, the divisor (3) is the GCF of 3 and 12.

The matching divisor (3) is the GCF that 3 and also 12.

GCF the 3 and 12 by prime Factorization

Prime administer of 3 and also 12 is (3) and (2 × 2 × 3) respectively. Together visible, 3 and also 12 have actually only one usual prime element i.e. 3. Hence, the GCF of 3 and 12 is 3.

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GCF that 3 and also 12 Examples


Example 1: uncover the greatest number that divides 3 and 12 exactly.

Solution:

The biggest number the divides 3 and 12 exactly is your greatest typical factor, i.e. GCF the 3 and 12.⇒ components of 3 and also 12:

Factors of 3 = 1, 3Factors that 12 = 1, 2, 3, 4, 6, 12

Therefore, the GCF of 3 and 12 is 3.


Example 2: uncover the GCF of 3 and 12, if their LCM is 12.

Solution:

∵ LCM × GCF = 3 × 12⇒ GCF(3, 12) = (3 × 12)/12 = 3Therefore, the greatest typical factor that 3 and 12 is 3.


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

Solution:

Given: GCF (x, 3) = 3 and also LCM (x, 3) = 12∵ GCF × LCM = 3 × (x)⇒ x = (GCF × LCM)/3⇒ x = (3 × 12)/3⇒ x = 12Therefore, the various other number is 12.


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FAQs top top GCF the 3 and 12

What is the GCF the 3 and also 12?

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

What is the Relation between LCM and GCF of 3, 12?

The adhering to equation can be provided to to express the relation between LCM and GCF of 3 and also 12, i.e. GCF × LCM = 3 × 12.

If the GCF that 12 and 3 is 3, discover its LCM.

GCF(12, 3) × LCM(12, 3) = 12 × 3Since the GCF the 12 and 3 = 3⇒ 3 × LCM(12, 3) = 36Therefore, LCM = 12☛ Greatest usual Factor Calculator

What space the approaches to uncover GCF the 3 and also 12?

There space three typically used approaches to uncover the GCF that 3 and also 12.

See more: How Many Oz In One Chicken Breast ? How Many Oz Is A Full Chicken Breast

By prime FactorizationBy long DivisionBy Listing usual Factors

How to find the GCF of 3 and also 12 by element Factorization?

To uncover the GCF that 3 and 12, us will uncover the element factorization that the given numbers, i.e. 3 = 3; 12 = 2 × 2 × 3.⇒ due to the fact that 3 is the only common prime variable of 3 and also 12. Hence, GCF (3, 12) = 3.☛ element Number

How to uncover the GCF the 3 and also 12 by Long department Method?

To uncover the GCF the 3, 12 utilizing long division method, 12 is separated by 3. The corresponding divisor (3) as soon as remainder amounts to 0 is taken together GCF.