GCF that 25 and also 30 is the largest possible number that divides 25 and 30 precisely without any remainder. The determinants of 25 and also 30 space 1, 5, 25 and also 1, 2, 3, 5, 6, 10, 15, 30 respectively. There are 3 frequently used techniques to uncover the GCF the 25 and also 30 - long division, Euclidean algorithm, and also prime factorization.

You are watching: What is the greatest common factor of 25 and 30

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

Answer: GCF the 25 and 30 is 5.

*

Explanation:

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


Let's look in ~ the various methods for finding the GCF of 25 and also 30.

Listing common FactorsPrime administer MethodLong division Method

GCF of 25 and 30 by Listing common Factors

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

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

GCF that 25 and 30 by element Factorization

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

GCF that 25 and also 30 by long Division

*

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

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of step 1 (25) through the remainder (5).Step 3: Repeat this procedure until the remainder = 0.

The corresponding divisor (5) is the GCF of 25 and also 30.

☛ additionally Check:


GCF of 25 and also 30 Examples


Example 1: For 2 numbers, GCF = 5 and LCM = 150. If one number is 30, uncover the various 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: uncover the best number that divides 25 and 30 exactly.

Solution:

The greatest number that divides 25 and also 30 exactly is their greatest typical factor, i.e. GCF of 25 and 30.⇒ components of 25 and also 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: uncover the GCF of 25 and also 30, if their 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.


Show solution >

go to slidego to slidego to slide


*


Ready to watch the people through math’s eyes?
Math is in ~ the main point of everything we do. Enjoy solving real-world math difficulties in live classes and also become an expert at everything.

Book a complimentary Trial Class


FAQs top top GCF that 25 and 30

What is the GCF that 25 and 30?

The GCF the 25 and also 30 is 5. To calculation the greatest usual factor that 25 and 30, we require to aspect each number (factors that 25 = 1, 5, 25; determinants of 30 = 1, 2, 3, 5, 6, 10, 15, 30) and choose the greatest variable that exactly divides both 25 and also 30, i.e., 5.

How to uncover the GCF the 25 and 30 by prime Factorization?

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

What are the approaches to uncover GCF the 25 and also 30?

There are three generally used methods to uncover the GCF of 25 and also 30.

By lengthy DivisionBy Euclidean AlgorithmBy prime Factorization

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

The adhering to equation have the right to be provided to express the relation in between Least typical Multiple and also GCF that 25 and also 30, i.e. GCF × LCM = 25 × 30.

How to find the GCF the 25 and 30 through Long division Method?

To discover the GCF of 25, 30 making use of long department method, 30 is divided by 25. The equivalent divisor (5) once remainder equals 0 is taken as GCF.

See more: Why Are Many Entrepreneurs Uncomfortable On A Relaxing Vacation? ? A

If the GCF of 30 and 25 is 5, uncover 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