GCF of 25 and also 40 is the largest possible number the divides 25 and also 40 precisely without any remainder. The determinants of 25 and 40 room 1, 5, 25 and also 1, 2, 4, 5, 8, 10, 20, 40 respectively. There room 3 generally used methods to discover the GCF the 25 and also 40 - Euclidean algorithm, element factorization, and also long division.

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1.GCF the 25 and also 40
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF that 25 and also 40 is 5.

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Explanation:

The GCF of 2 non-zero integers, x(25) and also y(40), is the greatest positive essence m(5) that divides both x(25) and y(40) without any remainder.


Let's look at the various methods for finding the GCF the 25 and also 40.

Long department MethodListing common FactorsPrime administrate Method

GCF of 25 and also 40 by long Division

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GCF the 25 and 40 is the divisor that we acquire 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 step 1 (25) by the remainder (15).Step 3: Repeat this process until the remainder = 0.

The equivalent divisor (5) is the GCF of 25 and also 40.

GCF the 25 and also 40 by Listing typical Factors

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Factors that 25: 1, 5, 25Factors that 40: 1, 2, 4, 5, 8, 10, 20, 40

There are 2 usual factors the 25 and also 40, that space 1 and also 5. Therefore, the greatest common factor the 25 and 40 is 5.

GCF the 25 and also 40 by element Factorization

Prime factorization of 25 and also 40 is (5 × 5) and also (2 × 2 × 2 × 5) respectively. Together visible, 25 and also 40 have actually only one common prime element i.e. 5. Hence, the GCF the 25 and also 40 is 5.

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GCF of 25 and also 40 Examples


Example 1: discover the best number that divides 25 and also 40 exactly.

Solution:

The greatest number the divides 25 and 40 exactly is your greatest typical factor, i.e. GCF that 25 and 40.⇒ components of 25 and 40:

Factors the 25 = 1, 5, 25Factors the 40 = 1, 2, 4, 5, 8, 10, 20, 40

Therefore, the GCF of 25 and also 40 is 5.


Example 2: uncover the GCF the 25 and also 40, if your LCM is 200.

Solution:

∵ LCM × GCF = 25 × 40⇒ GCF(25, 40) = (25 × 40)/200 = 5Therefore, the greatest usual factor of 25 and 40 is 5.


Example 3: The product of 2 numbers is 1000. If their GCF is 5, what is their LCM?

Solution:

Given: GCF = 5 and product of numbers = 1000∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 1000/5Therefore, the LCM is 200.


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FAQs on GCF the 25 and also 40

What is the GCF of 25 and 40?

The GCF that 25 and 40 is 5. To calculate the GCF that 25 and 40, we need to aspect each number (factors of 25 = 1, 5, 25; components of 40 = 1, 2, 4, 5, 8, 10, 20, 40) and choose the greatest factor that exactly divides both 25 and 40, i.e., 5.

What space the methods to discover GCF of 25 and also 40?

There are three commonly used techniques to discover the GCF the 25 and also 40.

By prime FactorizationBy lengthy DivisionBy Listing usual Factors

If the GCF the 40 and also 25 is 5, uncover its LCM.

GCF(40, 25) × LCM(40, 25) = 40 × 25Since the GCF that 40 and 25 = 5⇒ 5 × LCM(40, 25) = 1000Therefore, LCM = 200☛ GCF Calculator

What is the Relation in between LCM and also GCF the 25, 40?

The complying with equation have the right to be supplied to to express the relation in between LCM and also GCF that 25 and 40, i.e. GCF × LCM = 25 × 40.

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How to find the GCF of 25 and also 40 through Long department Method?

To uncover the GCF the 25, 40 using long department method, 40 is separated by 25. The corresponding divisor (5) when remainder amounts to 0 is taken as GCF.

How to discover the GCF of 25 and also 40 by prime Factorization?

To discover the GCF that 25 and 40, us will find the element factorization of the provided numbers, i.e. 25 = 5 × 5; 40 = 2 × 2 × 2 × 5.⇒ since 5 is the only typical prime factor of 25 and 40. Hence, GCF (25, 40) = 5.☛ prime Number