GCF the 15 and 40 is the largest feasible number the divides 15 and also 40 specifically without any kind of remainder. The determinants of 15 and also 40 room 1, 3, 5, 15 and also 1, 2, 4, 5, 8, 10, 20, 40 respectively. There space 3 frequently used methods to find the GCF of 15 and also 40 - prime factorization, long division, and also Euclidean algorithm.

You are watching: Greatest common factor of 15 and 40

1.GCF of 15 and 40
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF the 15 and 40 is 5.

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Explanation:

The GCF of two non-zero integers, x(15) and y(40), is the greatest positive essence m(5) the divides both x(15) and y(40) without any kind of remainder.


Let's look at the various methods because that finding the GCF of 15 and also 40.

Prime administrate MethodListing typical FactorsLong department Method

GCF of 15 and 40 by prime Factorization

Prime factorization of 15 and also 40 is (3 × 5) and (2 × 2 × 2 × 5) respectively. As visible, 15 and also 40 have actually only one typical prime factor i.e. 5. Hence, the GCF the 15 and also 40 is 5.

GCF that 15 and 40 by Listing usual Factors

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Factors of 15: 1, 3, 5, 15Factors the 40: 1, 2, 4, 5, 8, 10, 20, 40

There space 2 usual factors that 15 and 40, that are 1 and 5. Therefore, the greatest common factor that 15 and 40 is 5.

GCF the 15 and 40 by long Division

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GCF that 15 and also 40 is the divisor that we get when the remainder becomes 0 after doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of step 1 (15) by the remainder (10).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (5) is the GCF that 15 and also 40.

☛ also Check:


GCF that 15 and 40 Examples


Example 1: For two numbers, GCF = 5 and LCM = 120. If one number is 40, find the various other number.

Solution:

Given: GCF (z, 40) = 5 and also LCM (z, 40) = 120∵ GCF × LCM = 40 × (z)⇒ z = (GCF × LCM)/40⇒ z = (5 × 120)/40⇒ z = 15Therefore, the various other number is 15.


Example 2: discover the GCF of 15 and also 40, if their LCM is 120.

Solution:

∵ LCM × GCF = 15 × 40⇒ GCF(15, 40) = (15 × 40)/120 = 5Therefore, the greatest common factor the 15 and also 40 is 5.


Example 3: The product of two numbers is 600. If their GCF is 5, what is their LCM?

Solution:

Given: GCF = 5 and also product of number = 600∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 600/5Therefore, the LCM is 120.


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FAQs on GCF the 15 and 40

What is the GCF that 15 and 40?

The GCF the 15 and also 40 is 5. To calculate the greatest common factor that 15 and 40, we require to element each number (factors that 15 = 1, 3, 5, 15; determinants of 40 = 1, 2, 4, 5, 8, 10, 20, 40) and choose the greatest variable that precisely divides both 15 and also 40, i.e., 5.

How to find the GCF the 15 and 40 through Long department Method?

To find the GCF of 15, 40 using long department method, 40 is divided by 15. The matching divisor (5) once remainder amounts to 0 is taken together GCF.

What is the Relation in between LCM and also GCF of 15, 40?

The complying with equation deserve to be used to to express the relation in between Least typical Multiple (LCM) and also GCF that 15 and 40, i.e. GCF × LCM = 15 × 40.

How to discover the GCF the 15 and 40 by prime Factorization?

To discover the GCF of 15 and also 40, we will uncover the prime factorization of the given numbers, i.e. 15 = 3 × 5; 40 = 2 × 2 × 2 × 5.⇒ since 5 is the only usual prime factor of 15 and 40. Hence, GCF (15, 40) = 5.☛ prime Number

If the GCF that 40 and also 15 is 5, discover its LCM.

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GCF(40, 15) × LCM(40, 15) = 40 × 15Since the GCF of 40 and also 15 = 5⇒ 5 × LCM(40, 15) = 600Therefore, LCM = 120☛ Greatest usual Factor Calculator

What space the methods to uncover GCF that 15 and also 40?

There room three frequently used approaches to discover the GCF of 15 and also 40.