GCF the 20 and 100 is the largest feasible number that divides 20 and 100 specifically without any remainder. The factors of 20 and also 100 are 1, 2, 4, 5, 10, 20 and 1, 2, 4, 5, 10, 20, 25, 50, 100 respectively. There are 3 commonly used techniques to discover the GCF that 20 and 100 - Euclidean algorithm, prime factorization, and also long division.

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1.GCF the 20 and 100
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF the 20 and 100 is 20.

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Explanation:

The GCF of two non-zero integers, x(20) and y(100), is the best positive integer m(20) the divides both x(20) and y(100) without any remainder.


The techniques to discover the GCF of 20 and also 100 are explained below.

Prime administer MethodListing usual FactorsLong department Method

GCF the 20 and 100 by element Factorization

Prime administer of 20 and 100 is (2 × 2 × 5) and (2 × 2 × 5 × 5) respectively. As visible, 20 and 100 have common prime factors. Hence, the GCF of 20 and also 100 is 2 × 2 × 5 = 20.

GCF the 20 and also 100 by Listing usual Factors

Factors the 20: 1, 2, 4, 5, 10, 20Factors the 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

There space 6 typical factors of 20 and also 100, that space 1, 2, 4, 5, 10, and 20. Therefore, the greatest usual factor the 20 and 100 is 20.

GCF that 20 and also 100 by long Division

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GCF of 20 and also 100 is the divisor the we get when the remainder i do not care 0 after ~ doing long department repeatedly.

Step 2: since the remainder = 0, the divisor (20) is the GCF that 20 and also 100.

The matching divisor (20) is the GCF the 20 and also 100.

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GCF the 20 and 100 Examples


Example 1: uncover the GCF that 20 and also 100, if their LCM is 100.

Solution:

∵ LCM × GCF = 20 × 100⇒ GCF(20, 100) = (20 × 100)/100 = 20Therefore, the greatest typical factor the 20 and 100 is 20.


Example 2: uncover the greatest number that divides 20 and 100 exactly.

Solution:

The best number that divides 20 and 100 specifically is your greatest common factor, i.e. GCF of 20 and 100.⇒ factors of 20 and also 100:

Factors the 20 = 1, 2, 4, 5, 10, 20Factors the 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100

Therefore, the GCF the 20 and 100 is 20.


Example 3: For two numbers, GCF = 20 and also LCM = 100. If one number is 100, discover the other number.

Solution:

Given: GCF (x, 100) = 20 and also LCM (x, 100) = 100∵ GCF × LCM = 100 × (x)⇒ x = (GCF × LCM)/100⇒ x = (20 × 100)/100⇒ x = 20Therefore, the other number is 20.


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FAQs on GCF of 20 and 100

What is the GCF the 20 and also 100?

The GCF that 20 and 100 is 20. To calculate the greatest common factor (GCF) that 20 and 100, we need to element each number (factors of 20 = 1, 2, 4, 5, 10, 20; factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100) and also choose the greatest aspect that precisely divides both 20 and 100, i.e., 20.

If the GCF of 100 and 20 is 20, uncover its LCM.

GCF(100, 20) × LCM(100, 20) = 100 × 20Since the GCF of 100 and 20 = 20⇒ 20 × LCM(100, 20) = 2000Therefore, LCM = 100☛ Greatest typical Factor Calculator

What is the Relation between LCM and also GCF of 20, 100?

The following equation deserve to be provided to to express the relation in between Least usual Multiple (LCM) and also GCF of 20 and 100, i.e. GCF × LCM = 20 × 100.

How to discover the GCF that 20 and also 100 by prime Factorization?

To find the GCF that 20 and also 100, we will uncover the element factorization the the offered numbers, i.e. 20 = 2 × 2 × 5; 100 = 2 × 2 × 5 × 5.⇒ due to the fact that 2, 2, 5 are usual terms in the element factorization of 20 and 100. Hence, GCF(20, 100) = 2 × 2 × 5 = 20☛ element Numbers

What space the methods to discover GCF the 20 and also 100?

There space three generally used approaches to discover the GCF of 20 and also 100.

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By long DivisionBy element FactorizationBy Euclidean Algorithm

How to uncover the GCF that 20 and also 100 through Long division Method?

To uncover the GCF the 20, 100 utilizing long division method, 100 is separated by 20. The corresponding divisor (20) as soon as remainder equals 0 is taken together GCF.