GCF that 10 and 25 is the largest feasible number the divides 10 and 25 precisely without any remainder. The determinants of 10 and also 25 are 1, 2, 5, 10 and also 1, 5, 25 respectively. There space 3 commonly used methods to find the GCF of 10 and also 25 - lengthy division, Euclidean algorithm, and also prime factorization.

You are watching: Common factors of 10 and 25

1.GCF of 10 and 25
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF of 10 and also 25 is 5.

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Explanation:

The GCF of two non-zero integers, x(10) and also y(25), is the biggest positive essence m(5) the divides both x(10) and also y(25) without any type of remainder.


The methods to find the GCF the 10 and 25 are explained below.

Prime administer MethodLong division MethodListing common Factors

GCF of 10 and also 25 by prime Factorization

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Prime administrate of 10 and 25 is (2 × 5) and also (5 × 5) respectively. Together visible, 10 and 25 have only one usual prime aspect i.e. 5. Hence, the GCF the 10 and also 25 is 5.

GCF that 10 and 25 by long Division

GCF the 10 and also 25 is the divisor the we get when the remainder i do not care 0 after doing long department repeatedly.

Step 2: because the remainder ≠ 0, we will divide the divisor of step 1 (10) by the remainder (5).Step 3: Repeat this procedure until the remainder = 0.

The equivalent divisor (5) is the GCF the 10 and also 25.

GCF that 10 and also 25 through Listing usual Factors

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Factors of 10: 1, 2, 5, 10Factors that 25: 1, 5, 25

There are 2 usual factors that 10 and 25, that space 1 and also 5. Therefore, the greatest usual factor that 10 and also 25 is 5.

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GCF the 10 and 25 Examples


Example 1: For 2 numbers, GCF = 5 and LCM = 50. If one number is 25, find the various other number.

Solution:

Given: GCF (x, 25) = 5 and also LCM (x, 25) = 50∵ GCF × LCM = 25 × (x)⇒ x = (GCF × LCM)/25⇒ x = (5 × 50)/25⇒ x = 10Therefore, the other number is 10.


Example 2: The product of 2 numbers is 250. If your GCF is 5, what is your LCM?

Solution:

Given: GCF = 5 and product of number = 250∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 250/5Therefore, the LCM is 50.


Example 3: find the GCF the 10 and 25, if your LCM is 50.

Solution:

∵ LCM × GCF = 10 × 25⇒ GCF(10, 25) = (10 × 25)/50 = 5Therefore, the greatest usual factor of 10 and also 25 is 5.


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FAQs top top GCF of 10 and also 25

What is the GCF the 10 and also 25?

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

How to find the GCF the 10 and also 25 by prime Factorization?

To discover the GCF that 10 and 25, us will discover the prime factorization of the offered numbers, i.e. 10 = 2 × 5; 25 = 5 × 5.⇒ due to the fact that 5 is the only usual prime element of 10 and 25. Hence, GCF (10, 25) = 5.☛ What space Prime Numbers?

How to find the GCF the 10 and also 25 by Long division Method?

To find the GCF the 10, 25 making use of long department method, 25 is divided by 10. The matching divisor (5) as soon as remainder amounts to 0 is taken as GCF.

What is the Relation in between LCM and GCF the 10, 25?

The following equation can be offered to to express the relation in between LCM and also GCF of 10 and 25, i.e. GCF × LCM = 10 × 25.

What space the approaches to discover GCF that 10 and also 25?

There are three generally used techniques to find the GCF the 10 and 25.

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By lengthy DivisionBy prime FactorizationBy Euclidean Algorithm

If the GCF the 25 and 10 is 5, discover its LCM.

GCF(25, 10) × LCM(25, 10) = 25 × 10Since the GCF that 25 and 10 = 5⇒ 5 × LCM(25, 10) = 250Therefore, LCM = 50☛ GCF Calculator