GCF of 2 and also 5 is the largest feasible number that divides 2 and 5 specifically without any type of remainder. The components of 2 and 5 space 1, 2 and 1, 5 respectively. There are 3 commonly used techniques to discover the GCF the 2 and also 5 - Euclidean algorithm, lengthy division, and prime factorization.

You are watching: What is the greatest common factor of 2 and 5

1.GCF that 2 and 5
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF that 2 and also 5 is 1.

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Explanation:

The GCF of two non-zero integers, x(2) and also y(5), is the greatest positive integer m(1) the divides both x(2) and also y(5) without any kind of remainder.


Let's look at the various methods for finding the GCF the 2 and also 5.

Using Euclid's AlgorithmLong division MethodListing usual Factors

GCF the 2 and also 5 through Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)where X > Y and also mod is the modulo operator.

Here X = 5 and Y = 2

GCF(5, 2) = GCF(2, 5 mode 2) = GCF(2, 1)GCF(2, 1) = GCF(1, 2 mod 1) = GCF(1, 0)GCF(1, 0) = 1 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the worth of GCF the 2 and 5 is 1.

GCF that 2 and 5 by long Division

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GCF that 2 and 5 is the divisor the we get when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of action 1 (2) by the remainder (1).Step 3: Repeat this process until the remainder = 0.

The equivalent divisor (1) is the GCF of 2 and 5.

GCF the 2 and 5 by Listing common Factors

Factors the 2: 1, 2Factors the 5: 1, 5

Since, 1 is the only typical factor between 2 and 5. The Greatest usual Factor the 2 and 5 is 1.

☛ likewise Check:


GCF that 2 and also 5 Examples


Example 1: find the GCF that 2 and 5, if their LCM is 10.

Solution:

∵ LCM × GCF = 2 × 5⇒ GCF(2, 5) = (2 × 5)/10 = 1Therefore, the greatest usual factor the 2 and also 5 is 1.


Example 2: For two numbers, GCF = 1 and also LCM = 10. If one number is 2, find the other number.

Solution:

Given: GCF (x, 2) = 1 and LCM (x, 2) = 10∵ GCF × LCM = 2 × (x)⇒ x = (GCF × LCM)/2⇒ x = (1 × 10)/2⇒ x = 5Therefore, the other number is 5.


Example 3: The product of 2 numbers is 10. If your GCF is 1, what is their LCM?

Solution:

Given: GCF = 1 and product of number = 10∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 10/1Therefore, the LCM is 10.


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FAQs on GCF the 2 and 5

What is the GCF of 2 and also 5?

The GCF the 2 and 5 is 1. To calculation the GCF (Greatest common Factor) the 2 and also 5, we need to element each number (factors the 2 = 1, 2; components of 5 = 1, 5) and choose the greatest element that specifically divides both 2 and also 5, i.e., 1.

If the GCF that 5 and also 2 is 1, find its LCM.

GCF(5, 2) × LCM(5, 2) = 5 × 2Since the GCF the 5 and also 2 = 1⇒ 1 × LCM(5, 2) = 10Therefore, LCM = 10☛ GCF Calculator

How to discover the GCF of 2 and 5 by prime Factorization?

To find the GCF that 2 and 5, we will uncover the element factorization the the provided numbers, i.e. 2 = 2; 5 = 5.⇒ over there is no usual prime variable for 2 and 5. Hence, GCF (2, 5) = 1.☛ What space Prime Numbers?

What is the Relation in between LCM and also GCF the 2, 5?

The adhering to equation can be used to to express the relation between LCM and also GCF the 2 and 5, i.e. GCF × LCM = 2 × 5.

How to find the GCF that 2 and also 5 by Long division Method?

To discover the GCF of 2, 5 making use of long department method, 5 is split by 2. The matching divisor (1) as soon as remainder equates to 0 is taken as GCF.

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What are the techniques to uncover GCF of 2 and also 5?

There are three frequently used methods to discover the GCF that 2 and 5.