GCF of 5 and 25 is the largest possible number that divides 5 and also 25 exactly without any remainder. The factors of 5 and also 25 room 1, 5 and also 1, 5, 25 respectively. There room 3 commonly used approaches to discover the GCF the 5 and 25 - Euclidean algorithm, element factorization, and also long division.

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1.GCF that 5 and also 25
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 5 and also 25 is 5.

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Explanation:

The GCF of 2 non-zero integers, x(5) and y(25), is the greatest positive essence m(5) that divides both x(5) and y(25) without any type of remainder.


The techniques to discover the GCF that 5 and 25 are defined below.

Using Euclid's AlgorithmPrime administrate MethodLong department Method

GCF that 5 and also 25 by Euclidean Algorithm

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

Here X = 25 and Y = 5

GCF(25, 5) = GCF(5, 25 mode 5) = GCF(5, 0)GCF(5, 0) = 5 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the worth of GCF the 5 and also 25 is 5.

GCF the 5 and also 25 by prime Factorization

Prime factorization of 5 and also 25 is (5) and (5 × 5) respectively. As visible, 5 and also 25 have only one usual prime factor i.e. 5. Hence, the GCF the 5 and 25 is 5.

GCF that 5 and also 25 by long Division

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GCF of 5 and also 25 is the divisor the we acquire when the remainder i do not care 0 ~ doing long department repeatedly.

Step 2: because the remainder = 0, the divisor (5) is the GCF of 5 and also 25.

The corresponding divisor (5) is the GCF that 5 and also 25.

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GCF the 5 and also 25 Examples


Example 1: The product of 2 numbers is 125. If their GCF is 5, what is your LCM?

Solution:

Given: GCF = 5 and also product of numbers = 125∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 125/5Therefore, the LCM is 25.


Example 2: discover the best number the divides 5 and also 25 exactly.

Solution:

The biggest number the divides 5 and also 25 specifically is your greatest typical factor, i.e. GCF the 5 and 25.⇒ factors of 5 and 25:

Factors of 5 = 1, 5Factors the 25 = 1, 5, 25

Therefore, the GCF the 5 and 25 is 5.


Example 3: uncover the GCF that 5 and also 25, if their LCM is 25.

Solution:

∵ LCM × GCF = 5 × 25⇒ GCF(5, 25) = (5 × 25)/25 = 5Therefore, the greatest typical factor that 5 and also 25 is 5.


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FAQs top top GCF that 5 and 25

What is the GCF of 5 and also 25?

The GCF of 5 and 25 is 5. To calculate the greatest typical factor of 5 and 25, we need to variable each number (factors of 5 = 1, 5; components of 25 = 1, 5, 25) and choose the greatest aspect that exactly divides both 5 and 25, i.e., 5.

What space the techniques to find GCF the 5 and also 25?

There are three typically used methods to uncover the GCF the 5 and also 25.

By prime FactorizationBy Listing usual FactorsBy lengthy Division

What is the Relation in between LCM and also GCF the 5, 25?

The complying with equation can be provided to express the relation in between LCM and GCF of 5 and 25, i.e. GCF × LCM = 5 × 25.

If the GCF that 25 and also 5 is 5, find its LCM.

See more: 30 Is What Is 30 Percent Of 200 Written As A Percent Value? Percentage Calculator: What Is 30 Percent Of 200

GCF(25, 5) × LCM(25, 5) = 25 × 5Since the GCF that 25 and 5 = 5⇒ 5 × LCM(25, 5) = 125Therefore, LCM = 25☛ Greatest common Factor Calculator

How to discover the GCF the 5 and 25 by element Factorization?

To discover the GCF of 5 and 25, we will find the prime factorization that the offered numbers, i.e. 5 = 5; 25 = 5 × 5.⇒ because 5 is the only usual prime element of 5 and 25. Hence, GCF (5, 25) = 5.☛ What space Prime Numbers?

How to uncover the GCF of 5 and 25 by Long department Method?

To discover the GCF that 5, 25 utilizing long department method, 25 is split by 5. The matching divisor (5) as soon as remainder amounts to 0 is taken together GCF.