GCF of 12 and 16 is the largest possible number the divides 12 and 16 exactly without any kind of remainder. The determinants of 12 and also 16 room 1, 2, 3, 4, 6, 12 and 1, 2, 4, 8, 16 respectively. There space 3 commonly used techniques to discover the GCF of 12 and also 16 - long division, Euclidean algorithm, and prime factorization.

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1.GCF that 12 and also 16
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 12 and also 16 is 4.

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Explanation:

The GCF of two non-zero integers, x(12) and also y(16), is the greatest positive creature m(4) that divides both x(12) and y(16) without any type of remainder.


Let's look at the different methods because that finding the GCF of 12 and also 16.

Long division MethodPrime administer MethodListing typical Factors

GCF the 12 and 16 by lengthy Division

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GCF of 12 and also 16 is the divisor that we gain when the remainder becomes 0 after doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of action 1 (12) by the remainder (4).Step 3: Repeat this procedure until the remainder = 0.

The equivalent divisor (4) is the GCF that 12 and 16.

GCF of 12 and 16 by prime Factorization

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Prime factorization of 12 and 16 is (2 × 2 × 3) and (2 × 2 × 2 × 2) respectively. Together visible, 12 and 16 have usual prime factors. Hence, the GCF the 12 and also 16 is 2 × 2 = 4.

GCF that 12 and also 16 through Listing typical Factors

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Factors that 12: 1, 2, 3, 4, 6, 12Factors that 16: 1, 2, 4, 8, 16

There space 3 usual factors that 12 and 16, that room 1, 2, and also 4. Therefore, the greatest typical factor of 12 and 16 is 4.

☛ also Check:


GCF of 12 and 16 Examples


Example 1: The product of two numbers is 192. If your GCF is 4, what is your LCM?

Solution:

Given: GCF = 4 and product of numbers = 192∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 192/4Therefore, the LCM is 48.


Example 2: uncover the greatest number the divides 12 and 16 exactly.

Solution:

The best number the divides 12 and 16 precisely is your greatest typical factor, i.e. GCF the 12 and 16.⇒ determinants of 12 and 16:

Factors the 12 = 1, 2, 3, 4, 6, 12Factors of 16 = 1, 2, 4, 8, 16

Therefore, the GCF that 12 and 16 is 4.


Example 3: discover the GCF that 12 and 16, if your LCM is 48.

Solution:

∵ LCM × GCF = 12 × 16⇒ GCF(12, 16) = (12 × 16)/48 = 4Therefore, the greatest common factor of 12 and 16 is 4.


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FAQs on GCF the 12 and 16

What is the GCF that 12 and also 16?

The GCF that 12 and also 16 is 4. To calculate the greatest typical factor that 12 and 16, we require to variable each number (factors of 12 = 1, 2, 3, 4, 6, 12; determinants of 16 = 1, 2, 4, 8, 16) and choose the greatest variable that exactly divides both 12 and also 16, i.e., 4.

What is the Relation in between LCM and also GCF that 12, 16?

The adhering to equation can be offered to refer the relation in between LCM (Least common Multiple) and also GCF of 12 and also 16, i.e. GCF × LCM = 12 × 16.

If the GCF the 16 and 12 is 4, discover its LCM.

GCF(16, 12) × LCM(16, 12) = 16 × 12Since the GCF the 16 and 12 = 4⇒ 4 × LCM(16, 12) = 192Therefore, LCM = 48☛ GCF Calculator

How to uncover the GCF the 12 and also 16 by prime Factorization?

To discover the GCF the 12 and also 16, us will uncover the prime factorization of the given numbers, i.e. 12 = 2 × 2 × 3; 16 = 2 × 2 × 2 × 2.⇒ due to the fact that 2, 2 are typical terms in the element factorization of 12 and 16. Hence, GCF(12, 16) = 2 × 2 = 4☛ prime Number

How to find the GCF of 12 and 16 through Long department Method?

To uncover the GCF that 12, 16 utilizing long division method, 16 is separated by 12. The equivalent divisor (4) once remainder equals 0 is taken as GCF.

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What are the approaches to discover GCF that 12 and 16?

There space three typically used techniques to uncover the GCF of 12 and also 16.