GCF that 11 and 44 is the largest feasible number the divides 11 and 44 precisely without any kind of remainder. The determinants of 11 and 44 space 1, 11 and 1, 2, 4, 11, 22, 44 respectively. There are 3 typically used methods to find the GCF of 11 and 44 - lengthy division, Euclidean algorithm, and also prime factorization.

You are watching: What is the gcf of 11 and 44

1.GCF of 11 and 44
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 11 and 44 is 11.

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Explanation:

The GCF of 2 non-zero integers, x(11) and y(44), is the greatest positive essence m(11) that divides both x(11) and y(44) without any kind of remainder.


The approaches to uncover the GCF of 11 and also 44 are explained below.

Long department MethodListing typical FactorsPrime factorization Method

GCF that 11 and 44 by lengthy Division

GCF of 11 and also 44 is the divisor the we gain when the remainder i do not care 0 ~ doing long department repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (11) is the GCF of 11 and 44.

The corresponding divisor (11) is the GCF the 11 and also 44.

GCF the 11 and also 44 by Listing common Factors

Factors of 11: 1, 11Factors of 44: 1, 2, 4, 11, 22, 44

There space 2 common factors that 11 and 44, that are 1 and also 11. Therefore, the greatest usual factor the 11 and 44 is 11.

GCF that 11 and also 44 by element Factorization

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Prime administrate of 11 and also 44 is (11) and (2 × 2 × 11) respectively. Together visible, 11 and also 44 have only one usual prime element i.e. 11. Hence, the GCF of 11 and 44 is 11.

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GCF of 11 and 44 Examples


Example 1: discover the GCF the 11 and 44, if their LCM is 44.

Solution:

∵ LCM × GCF = 11 × 44⇒ GCF(11, 44) = (11 × 44)/44 = 11Therefore, the greatest usual factor the 11 and 44 is 11.


Example 2: The product of 2 numbers is 484. If their GCF is 11, what is your LCM?

Solution:

Given: GCF = 11 and product of numbers = 484∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 484/11Therefore, the LCM is 44.


Example 3: discover the best number the divides 11 and 44 exactly.

Solution:

The biggest number the divides 11 and 44 precisely is your greatest typical factor, i.e. GCF that 11 and also 44.⇒ factors of 11 and 44:

Factors the 11 = 1, 11Factors that 44 = 1, 2, 4, 11, 22, 44

Therefore, the GCF the 11 and also 44 is 11.


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FAQs ~ above GCF of 11 and 44

What is the GCF that 11 and 44?

The GCF that 11 and also 44 is 11. To calculation the greatest usual factor (GCF) of 11 and 44, we need to element each number (factors of 11 = 1, 11; components of 44 = 1, 2, 4, 11, 22, 44) and also choose the greatest variable that specifically divides both 11 and also 44, i.e., 11.

How to discover the GCF that 11 and also 44 by element Factorization?

To find the GCF of 11 and also 44, we will uncover the prime factorization that the given numbers, i.e. 11 = 11; 44 = 2 × 2 × 11.⇒ due to the fact that 11 is the only common prime aspect of 11 and also 44. Hence, GCF (11, 44) = 11.☛ What is a prime Number?

If the GCF that 44 and 11 is 11, discover its LCM.

GCF(44, 11) × LCM(44, 11) = 44 × 11Since the GCF of 44 and also 11 = 11⇒ 11 × LCM(44, 11) = 484Therefore, LCM = 44☛ GCF Calculator

What room the techniques to discover GCF of 11 and 44?

There space three typically used approaches to find the GCF of 11 and also 44.

By prime FactorizationBy lengthy DivisionBy Euclidean Algorithm

What is the Relation between LCM and GCF of 11, 44?

The adhering to equation can be offered to refer the relation between Least usual Multiple (LCM) and GCF of 11 and 44, i.e. GCF × LCM = 11 × 44.

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How to find the GCF that 11 and also 44 by Long division Method?

To uncover the GCF of 11, 44 making use of long division method, 44 is split by 11. The corresponding divisor (11) once remainder amounts to 0 is taken as GCF.