GCF of 25 and also 30 is the largest feasible number the divides 25 and also 30 exactly without any kind of remainder. The factors of 25 and also 30 room 1, 5, 25 and 1, 2, 3, 5, 6, 10, 15, 30 respectively. There room 3 commonly used approaches to find the GCF that 25 and also 30 - lengthy division, Euclidean algorithm, and also prime factorization.

You are watching: What is the gcf of 25 and 30

1.GCF that 25 and 30
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 25 and also 30 is 5.

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Explanation:

The GCF of 2 non-zero integers, x(25) and y(30), is the greatest positive integer m(5) that divides both x(25) and y(30) without any kind of remainder.


Let's look at the various methods for finding the GCF that 25 and also 30.

Listing typical FactorsPrime administer MethodLong division Method

GCF that 25 and 30 by Listing typical Factors

Factors of 25: 1, 5, 25Factors that 30: 1, 2, 3, 5, 6, 10, 15, 30

There space 2 usual factors of 25 and also 30, that room 1 and 5. Therefore, the greatest typical factor the 25 and also 30 is 5.

GCF the 25 and also 30 by element Factorization

Prime factorization of 25 and also 30 is (5 × 5) and also (2 × 3 × 5) respectively. Together visible, 25 and 30 have actually only one common prime factor i.e. 5. Hence, the GCF the 25 and 30 is 5.

GCF of 25 and 30 by long Division

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GCF the 25 and 30 is the divisor that we obtain when the remainder i do not care 0 after doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will certainly divide the divisor of action 1 (25) through the remainder (5).Step 3: Repeat this process until the remainder = 0.

The matching divisor (5) is the GCF the 25 and 30.

☛ also Check:


GCF the 25 and 30 Examples


Example 1: For two numbers, GCF = 5 and LCM = 150. If one number is 30, uncover the other number.

Solution:

Given: GCF (y, 30) = 5 and LCM (y, 30) = 150∵ GCF × LCM = 30 × (y)⇒ y = (GCF × LCM)/30⇒ y = (5 × 150)/30⇒ y = 25Therefore, the other number is 25.


Example 2: discover the best number the divides 25 and 30 exactly.

Solution:

The best number the divides 25 and 30 exactly is your greatest usual factor, i.e. GCF the 25 and also 30.⇒ determinants of 25 and 30:

Factors that 25 = 1, 5, 25Factors that 30 = 1, 2, 3, 5, 6, 10, 15, 30

Therefore, the GCF of 25 and also 30 is 5.


Example 3: discover the GCF that 25 and 30, if your LCM is 150.

Solution:

∵ LCM × GCF = 25 × 30⇒ GCF(25, 30) = (25 × 30)/150 = 5Therefore, the greatest common factor that 25 and also 30 is 5.


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FAQs ~ above GCF that 25 and 30

What is the GCF that 25 and also 30?

The GCF of 25 and 30 is 5. To calculation the greatest common factor that 25 and also 30, we need to element each number (factors that 25 = 1, 5, 25; factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30) and also choose the greatest element that specifically divides both 25 and also 30, i.e., 5.

How to find the GCF that 25 and also 30 by prime Factorization?

To find the GCF that 25 and 30, us will find the element factorization of the given numbers, i.e. 25 = 5 × 5; 30 = 2 × 3 × 5.⇒ because 5 is the only common prime aspect of 25 and also 30. Hence, GCF (25, 30) = 5.☛ What are Prime Numbers?

What room the approaches to discover GCF that 25 and 30?

There are three generally used approaches to discover the GCF the 25 and also 30.

By long DivisionBy Euclidean AlgorithmBy element Factorization

What is the Relation between LCM and also GCF of 25, 30?

The complying with equation can be supplied to express the relation between Least typical Multiple and also GCF the 25 and 30, i.e. GCF × LCM = 25 × 30.

How to discover the GCF the 25 and 30 by Long division Method?

To discover the GCF the 25, 30 utilizing long division method, 30 is split by 25. The matching divisor (5) as soon as remainder amounts to 0 is taken together GCF.

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If the GCF the 30 and 25 is 5, discover its LCM.

GCF(30, 25) × LCM(30, 25) = 30 × 25Since the GCF the 30 and 25 = 5⇒ 5 × LCM(30, 25) = 750Therefore, LCM = 150☛ GCF Calculator