GCF that 25 and also 40 is the largest possible number the divides 25 and 40 exactly without any remainder. The components of 25 and also 40 are 1, 5, 25 and also 1, 2, 4, 5, 8, 10, 20, 40 respectively. There space 3 commonly used techniques to discover the GCF the 25 and 40 - Euclidean algorithm, element factorization, and also long division.

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

Answer: GCF that 25 and also 40 is 5.

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Explanation:

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


Let's look in ~ the various methods for finding the GCF the 25 and 40.

Long division MethodListing typical FactorsPrime factorization Method

GCF that 25 and 40 by long Division

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GCF the 25 and 40 is the divisor the we gain 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 (15).Step 3: Repeat this procedure until the remainder = 0.

The corresponding divisor (5) is the GCF that 25 and also 40.

GCF that 25 and also 40 through Listing common 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 of 25 and 40, that space 1 and also 5. Therefore, the greatest common factor the 25 and also 40 is 5.

GCF that 25 and also 40 by element Factorization

Prime administrate of 25 and also 40 is (5 × 5) and (2 × 2 × 2 × 5) respectively. As visible, 25 and 40 have only one usual prime aspect i.e. 5. Hence, the GCF of 25 and 40 is 5.

☛ also Check:


GCF the 25 and also 40 Examples


Example 1: find the greatest number the divides 25 and also 40 exactly.

Solution:

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

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

Therefore, the GCF the 25 and 40 is 5.


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

Solution:

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


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

Solution:

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


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FAQs top top GCF that 25 and also 40

What is the GCF the 25 and 40?

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

What room the approaches to uncover GCF of 25 and also 40?

There space three commonly used methods to uncover the GCF of 25 and 40.

By prime FactorizationBy lengthy DivisionBy Listing usual Factors

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

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

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

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

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How to find the GCF that 25 and also 40 through Long division Method?

To discover the GCF that 25, 40 making use of long department method, 40 is separated by 25. The equivalent divisor (5) when remainder amounts to 0 is taken together GCF.

How to find the GCF that 25 and also 40 by prime Factorization?

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