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

You are watching: What is the greatest common factor of 50 and 100

1.GCF of 50 and 100
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 50 and 100 is 50.

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Explanation:

The GCF of two non-zero integers, x(50) and y(100), is the best positive creature m(50) that divides both x(50) and also y(100) without any remainder.


The techniques to discover the GCF that 50 and also 100 are described below.

Long division MethodListing common FactorsUsing Euclid's Algorithm

GCF that 50 and also 100 by long Division

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GCF of 50 and 100 is the divisor the we get when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: because the remainder = 0, the divisor (50) is the GCF the 50 and 100.

The equivalent divisor (50) is the GCF the 50 and 100.

GCF of 50 and also 100 through Listing typical Factors

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

There space 6 common factors that 50 and also 100, that room 1, 2, 5, 10, 50, and 25. Therefore, the greatest common factor the 50 and 100 is 50.

GCF that 50 and 100 by Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mode Y)where X > Y and mod is the modulo operator.

Here X = 100 and also Y = 50

GCF(100, 50) = GCF(50, 100 mod 50) = GCF(50, 0)GCF(50, 0) = 50 (∵ GCF(X, 0) = |X|, whereby X ≠ 0)

Therefore, the value of GCF of 50 and also 100 is 50.

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GCF the 50 and also 100 Examples


Example 1: find the greatest number that divides 50 and 100 exactly.

Solution:

The biggest number that divides 50 and also 100 specifically is their greatest usual factor, i.e. GCF the 50 and also 100.⇒ determinants of 50 and 100:

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

Therefore, the GCF that 50 and also 100 is 50.


Example 2: The product of two numbers is 5000. If your GCF is 50, what is your LCM?

Solution:

Given: GCF = 50 and product of number = 5000∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 5000/50Therefore, the LCM is 100.


Example 3: For 2 numbers, GCF = 50 and LCM = 100. If one number is 100, discover the various other number.

Solution:

Given: GCF (y, 100) = 50 and also LCM (y, 100) = 100∵ GCF × LCM = 100 × (y)⇒ y = (GCF × LCM)/100⇒ y = (50 × 100)/100⇒ y = 50Therefore, the various other number is 50.


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FAQs on GCF of 50 and 100

What is the GCF the 50 and 100?

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

What are the methods to uncover GCF that 50 and also 100?

There room three frequently used approaches to uncover the GCF the 50 and 100.

By long DivisionBy Euclidean AlgorithmBy prime Factorization

How to uncover the GCF of 50 and also 100 by Long division Method?

To find the GCF the 50, 100 using long division method, 100 is separated by 50. The matching divisor (50) once remainder equates to 0 is taken together GCF.

How to discover the GCF the 50 and also 100 by prime Factorization?

To find the GCF of 50 and 100, us will discover the element factorization of the provided numbers, i.e. 50 = 2 × 5 × 5; 100 = 2 × 2 × 5 × 5.⇒ because 2, 5, 5 are common terms in the element factorization that 50 and 100. Hence, GCF(50, 100) = 2 × 5 × 5 = 50☛ What room Prime Numbers?

What is the Relation between LCM and also GCF the 50, 100?

The complying with equation have the right to be provided to to express the relation in between LCM and GCF of 50 and 100, i.e. GCF × LCM = 50 × 100.

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If the GCF the 100 and also 50 is 50, find its LCM.

GCF(100, 50) × LCM(100, 50) = 100 × 50Since the GCF the 100 and 50 = 50⇒ 50 × LCM(100, 50) = 5000Therefore, LCM = 100☛ Greatest usual Factor Calculator