GCF that 28 and 48 is the largest feasible number that divides 28 and also 48 exactly without any remainder. The factors of 28 and also 48 are 1, 2, 4, 7, 14, 28 and also 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 respectively. There are 3 commonly used methods to find the GCF of 28 and 48 - Euclidean algorithm, element factorization, and long division.

You are watching: Greatest common factor of 28 and 48

1.GCF of 28 and also 48
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF the 28 and also 48 is 4.

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Explanation:

The GCF of two non-zero integers, x(28) and y(48), is the biggest positive creature m(4) the divides both x(28) and y(48) without any kind of remainder.


The approaches to uncover the GCF that 28 and also 48 are described below.

Prime administer MethodListing typical FactorsLong division Method

GCF of 28 and also 48 by prime Factorization

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Prime administrate of 28 and 48 is (2 × 2 × 7) and also (2 × 2 × 2 × 2 × 3) respectively. Together visible, 28 and also 48 have typical prime factors. Hence, the GCF that 28 and also 48 is 2 × 2 = 4.

GCF of 28 and also 48 by Listing common Factors

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Factors the 28: 1, 2, 4, 7, 14, 28Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

There room 3 usual factors that 28 and also 48, that space 1, 2, and 4. Therefore, the greatest common factor that 28 and also 48 is 4.

GCF that 28 and 48 by long Division

GCF that 28 and also 48 is the divisor that we obtain when the remainder becomes 0 after doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of step 1 (28) by the remainder (20).Step 3: Repeat this process until the remainder = 0.

The matching divisor (4) is the GCF of 28 and also 48.

☛ likewise Check:


GCF that 28 and 48 Examples


Example 1: find the GCF the 28 and 48, if their LCM is 336.

Solution:

∵ LCM × GCF = 28 × 48⇒ GCF(28, 48) = (28 × 48)/336 = 4Therefore, the greatest common factor of 28 and also 48 is 4.


Example 2: For 2 numbers, GCF = 4 and also LCM = 336. If one number is 28, discover the other number.

Solution:

Given: GCF (y, 28) = 4 and LCM (y, 28) = 336∵ GCF × LCM = 28 × (y)⇒ y = (GCF × LCM)/28⇒ y = (4 × 336)/28⇒ y = 48Therefore, the other number is 48.


Example 3: The product of two numbers is 1344. If their GCF is 4, what is your LCM?

Solution:

Given: GCF = 4 and also product of numbers = 1344∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 1344/4Therefore, the LCM is 336.


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FAQs ~ above GCF the 28 and 48

What is the GCF that 28 and also 48?

The GCF of 28 and 48 is 4. To calculate the greatest usual factor (GCF) that 28 and 48, we require to factor each number (factors that 28 = 1, 2, 4, 7, 14, 28; components of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48) and also choose the greatest aspect that exactly divides both 28 and also 48, i.e., 4.

How to uncover the GCF that 28 and 48 by element Factorization?

To discover the GCF that 28 and 48, we will discover the prime factorization that the given numbers, i.e. 28 = 2 × 2 × 7; 48 = 2 × 2 × 2 × 2 × 3.⇒ due to the fact that 2, 2 are typical terms in the element factorization the 28 and 48. Hence, GCF(28, 48) = 2 × 2 = 4☛ prime Numbers

How to uncover the GCF of 28 and 48 by Long division Method?

To discover the GCF that 28, 48 making use of long division method, 48 is divided by 28. The matching divisor (4) once remainder equates to 0 is taken as GCF.

What is the Relation in between LCM and also GCF the 28, 48?

The following equation deserve to be used to refer the relation in between Least common Multiple and also GCF that 28 and also 48, i.e. GCF × LCM = 28 × 48.

What space the approaches to uncover GCF the 28 and also 48?

There space three typically used approaches to discover the GCF the 28 and also 48.

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By Euclidean AlgorithmBy lengthy DivisionBy element Factorization

If the GCF of 48 and also 28 is 4, discover its LCM.

GCF(48, 28) × LCM(48, 28) = 48 × 28Since the GCF of 48 and also 28 = 4⇒ 4 × LCM(48, 28) = 1344Therefore, LCM = 336☛ Greatest common Factor Calculator