GCF the 12 and 36 is the largest feasible number that divides 12 and 36 exactly without any remainder. The components of 12 and also 36 room 1, 2, 3, 4, 6, 12 and also 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There room 3 commonly used techniques to discover the GCF of 12 and 36 - element factorization, Euclidean algorithm, and long division.

You are watching: What is the gcf of 12 and 36

1.GCF that 12 and 36
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF of 12 and also 36 is 12.

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Explanation:

The GCF of 2 non-zero integers, x(12) and y(36), is the biggest positive integer m(12) that divides both x(12) and y(36) without any kind of remainder.


The techniques to discover the GCF that 12 and 36 are defined below.

Listing usual FactorsPrime factorization MethodLong department Method

GCF that 12 and also 36 by Listing usual Factors

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Factors that 12: 1, 2, 3, 4, 6, 12Factors that 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

There space 6 typical factors that 12 and 36, that are 1, 2, 3, 4, 6, and also 12. Therefore, the greatest usual factor that 12 and 36 is 12.

GCF of 12 and also 36 by prime Factorization

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Prime administer of 12 and 36 is (2 × 2 × 3) and also (2 × 2 × 3 × 3) respectively. As visible, 12 and 36 have usual prime factors. Hence, the GCF the 12 and also 36 is 2 × 2 × 3 = 12.

GCF that 12 and also 36 by lengthy Division

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GCF of 12 and 36 is the divisor that we gain when the remainder becomes 0 ~ doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (12) is the GCF of 12 and 36.

The corresponding divisor (12) is the GCF of 12 and 36.

☛ also Check:


GCF the 12 and also 36 Examples


Example 1: uncover the GCF of 12 and also 36, if their LCM is 36.

Solution:

∵ LCM × GCF = 12 × 36⇒ GCF(12, 36) = (12 × 36)/36 = 12Therefore, the greatest usual factor that 12 and 36 is 12.


Example 2: The product of 2 numbers is 432. If your GCF is 12, what is your LCM?

Solution:

Given: GCF = 12 and product of numbers = 432∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 432/12Therefore, the LCM is 36.


Example 3: uncover the biggest number that divides 12 and also 36 exactly.

Solution:

The biggest number that divides 12 and also 36 exactly is your greatest typical factor, i.e. GCF that 12 and 36.⇒ determinants of 12 and 36:

Factors the 12 = 1, 2, 3, 4, 6, 12Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Therefore, the GCF of 12 and also 36 is 12.


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FAQs on GCF of 12 and 36

What is the GCF of 12 and 36?

The GCF the 12 and also 36 is 12. To calculate the greatest typical factor (GCF) the 12 and 36, we require to aspect each number (factors the 12 = 1, 2, 3, 4, 6, 12; components of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest element that exactly divides both 12 and 36, i.e., 12.

What room the approaches to discover GCF of 12 and 36?

There room three typically used approaches to find the GCF of 12 and 36.

By prime FactorizationBy lengthy DivisionBy Listing usual Factors

What is the Relation between LCM and GCF the 12, 36?

The adhering to equation deserve to be offered to to express the relation between LCM and also GCF the 12 and also 36, i.e. GCF × LCM = 12 × 36.

If the GCF of 36 and also 12 is 12, uncover its LCM.

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GCF(36, 12) × LCM(36, 12) = 36 × 12Since the GCF of 36 and also 12 = 12⇒ 12 × LCM(36, 12) = 432Therefore, LCM = 36☛ GCF Calculator

How to discover the GCF of 12 and 36 through Long department Method?

To discover the GCF the 12, 36 making use of long division method, 36 is divided by 12. The corresponding divisor (12) as soon as remainder equates to 0 is taken together GCF.

How to find the GCF of 12 and also 36 by element Factorization?

To discover the GCF that 12 and 36, we will discover the prime factorization the the given numbers, i.e. 12 = 2 × 2 × 3; 36 = 2 × 2 × 3 × 3.⇒ because 2, 2, 3 are common terms in the element factorization that 12 and 36. Hence, GCF(12, 36) = 2 × 2 × 3 = 12☛ element Number