GCF that 28 and 40 is the largest possible number that divides 28 and 40 specifically without any kind of remainder. The factors of 28 and also 40 are 1, 2, 4, 7, 14, 28 and 1, 2, 4, 5, 8, 10, 20, 40 respectively. There room 3 frequently used techniques to find the GCF the 28 and 40 - prime factorization, lengthy division, and Euclidean algorithm.

You are watching: Common factors of 28 and 40

1.GCF the 28 and also 40
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF of 28 and also 40 is 4.

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Explanation:

The GCF of two non-zero integers, x(28) and also y(40), is the best positive essence m(4) the divides both x(28) and also y(40) without any kind of remainder.


The methods to discover the GCF that 28 and also 40 are described below.

Listing typical FactorsLong department MethodPrime administer Method

GCF that 28 and also 40 by Listing usual Factors

Factors the 28: 1, 2, 4, 7, 14, 28Factors that 40: 1, 2, 4, 5, 8, 10, 20, 40

There are 3 usual factors the 28 and also 40, that space 1, 2, and also 4. Therefore, the greatest usual factor that 28 and 40 is 4.

GCF of 28 and 40 by lengthy Division

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GCF of 28 and also 40 is the divisor that we acquire when the remainder becomes 0 after doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of action 1 (28) through the remainder (12).Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (4) is the GCF of 28 and 40.

GCF of 28 and also 40 by prime Factorization

Prime administer of 28 and 40 is (2 × 2 × 7) and also (2 × 2 × 2 × 5) respectively. As visible, 28 and also 40 have common prime factors. Hence, the GCF of 28 and 40 is 2 × 2 = 4.

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GCF of 28 and also 40 Examples


Example 1: The product of 2 numbers is 1120. If their GCF is 4, what is their LCM?

Solution:

Given: GCF = 4 and product of numbers = 1120∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 1120/4Therefore, the LCM is 280.


Example 2: find the GCF that 28 and 40, if your LCM is 280.

Solution:

∵ LCM × GCF = 28 × 40⇒ GCF(28, 40) = (28 × 40)/280 = 4Therefore, the greatest typical factor of 28 and also 40 is 4.


Example 3: For two numbers, GCF = 4 and LCM = 280. If one number is 28, find the other number.

Solution:

Given: GCF (y, 28) = 4 and LCM (y, 28) = 280∵ GCF × LCM = 28 × (y)⇒ y = (GCF × LCM)/28⇒ y = (4 × 280)/28⇒ y = 40Therefore, the other number is 40.


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FAQs top top GCF of 28 and also 40

What is the GCF that 28 and 40?

The GCF that 28 and 40 is 4. To calculation the GCF (Greatest typical Factor) the 28 and also 40, we need to factor each number (factors the 28 = 1, 2, 4, 7, 14, 28; determinants of 40 = 1, 2, 4, 5, 8, 10, 20, 40) and choose the greatest factor that precisely divides both 28 and 40, i.e., 4.

What is the Relation in between LCM and GCF the 28, 40?

The following equation deserve to be supplied to to express the relation in between Least common Multiple (LCM) and GCF the 28 and also 40, i.e. GCF × LCM = 28 × 40.

If the GCF the 40 and also 28 is 4, uncover its LCM.

GCF(40, 28) × LCM(40, 28) = 40 × 28Since the GCF that 40 and also 28 = 4⇒ 4 × LCM(40, 28) = 1120Therefore, LCM = 280☛ GCF Calculator

How to discover the GCF the 28 and 40 through Long division Method?

To uncover the GCF the 28, 40 using long division method, 40 is split by 28. The matching divisor (4) once remainder amounts to 0 is taken together GCF.

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What are the methods to discover GCF that 28 and 40?

There space three frequently used approaches to find the GCF the 28 and 40.

By lengthy DivisionBy Euclidean AlgorithmBy element Factorization

How to find the GCF the 28 and also 40 by prime Factorization?

To uncover the GCF of 28 and 40, us will find the element factorization that the offered numbers, i.e. 28 = 2 × 2 × 7; 40 = 2 × 2 × 2 × 5.⇒ due to the fact that 2, 2 are typical terms in the element factorization that 28 and also 40. Hence, GCF(28, 40) = 2 × 2 = 4☛ What are Prime Numbers?