GCF of 5 and 25 is the largest possible number the divides 5 and also 25 specifically without any remainder. The determinants of 5 and 25 are 1, 5 and also 1, 5, 25 respectively. There space 3 commonly used methods to find the GCF that 5 and also 25 - Euclidean algorithm, element factorization, and long division.

You are watching: What is the gcf of 5 and 25

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

Answer: GCF that 5 and 25 is 5.

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Explanation:

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


The methods to discover the GCF of 5 and also 25 are defined below.

Using Euclid's AlgorithmPrime administer MethodLong department Method

GCF of 5 and also 25 by Euclidean Algorithm

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

Here X = 25 and also Y = 5

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

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

GCF of 5 and 25 by element Factorization

Prime administrate of 5 and also 25 is (5) and also (5 × 5) respectively. As visible, 5 and also 25 have actually only one typical prime variable i.e. 5. Hence, the GCF of 5 and also 25 is 5.

GCF the 5 and also 25 by lengthy Division

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GCF the 5 and also 25 is the divisor that we obtain when the remainder becomes 0 after ~ doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (5) is the GCF of 5 and also 25.

The matching divisor (5) is the GCF the 5 and 25.

☛ additionally Check:


GCF that 5 and 25 Examples


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

Solution:

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


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

Solution:

The greatest number that divides 5 and also 25 specifically is their greatest typical factor, i.e. GCF that 5 and 25.⇒ components of 5 and also 25:

Factors of 5 = 1, 5Factors that 25 = 1, 5, 25

Therefore, the GCF of 5 and 25 is 5.


Example 3: uncover the GCF of 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 the 5 and 25 is 5.


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FAQs top top GCF that 5 and 25

What is the GCF the 5 and also 25?

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

What are the methods to discover GCF of 5 and also 25?

There room three frequently used methods to uncover the GCF the 5 and 25.

By element FactorizationBy Listing typical FactorsBy lengthy Division

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

The following equation can be offered to to express the relation between LCM and also GCF the 5 and 25, i.e. GCF × LCM = 5 × 25.

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

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

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

To find the GCF of 5 and 25, us will uncover the element factorization the the given numbers, i.e. 5 = 5; 25 = 5 × 5.⇒ because 5 is the only usual prime variable of 5 and 25. Hence, GCF (5, 25) = 5.☛ What room Prime Numbers?

How to find the GCF of 5 and 25 by Long division Method?

To find the GCF that 5, 25 utilizing long division method, 25 is divided by 5. The corresponding divisor (5) once remainder equals 0 is taken as GCF.