GCF that 28 and also 42 is the largest possible number the divides 28 and also 42 exactly without any remainder. The determinants of 28 and 42 are 1, 2, 4, 7, 14, 28 and also 1, 2, 3, 6, 7, 14, 21, 42 respectively. There space 3 commonly used approaches to discover the GCF of 28 and also 42 - prime factorization, lengthy division, and also Euclidean algorithm.

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1.GCF that 28 and 42
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF that 28 and 42 is 14.

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Explanation:

The GCF of two non-zero integers, x(28) and y(42), is the biggest positive essence m(14) the divides both x(28) and also y(42) without any type of remainder.


The approaches to discover the GCF the 28 and also 42 are described below.

Listing common FactorsLong division MethodPrime administer Method

GCF the 28 and 42 by Listing typical Factors

Factors that 28: 1, 2, 4, 7, 14, 28Factors the 42: 1, 2, 3, 6, 7, 14, 21, 42

There space 4 typical factors that 28 and 42, that are 1, 2, 14, and 7. Therefore, the greatest typical factor the 28 and also 42 is 14.

GCF of 28 and also 42 by lengthy Division

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GCF that 28 and also 42 is the divisor that we get when the remainder i do not care 0 after ~ doing long division repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of step 1 (28) by the remainder (14).Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (14) is the GCF that 28 and 42.

GCF that 28 and 42 by prime Factorization

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Prime administer of 28 and 42 is (2 × 2 × 7) and (2 × 3 × 7) respectively. Together visible, 28 and 42 have typical prime factors. Hence, the GCF that 28 and 42 is 2 × 7 = 14.

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GCF of 28 and also 42 Examples


Example 1: For 2 numbers, GCF = 14 and LCM = 84. If one number is 28, discover the other number.

Solution:

Given: GCF (x, 28) = 14 and also LCM (x, 28) = 84∵ GCF × LCM = 28 × (x)⇒ x = (GCF × LCM)/28⇒ x = (14 × 84)/28⇒ x = 42Therefore, the various other number is 42.


Example 2: discover the GCF that 28 and also 42, if your LCM is 84.

Solution:

∵ LCM × GCF = 28 × 42⇒ GCF(28, 42) = (28 × 42)/84 = 14Therefore, the greatest typical factor the 28 and also 42 is 14.


Example 3: The product of 2 numbers is 1176. If your GCF is 14, what is your LCM?

Solution:

Given: GCF = 14 and also product of numbers = 1176∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 1176/14Therefore, the LCM is 84.


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FAQs ~ above GCF that 28 and 42

What is the GCF of 28 and 42?

The GCF that 28 and also 42 is 14. To calculation the greatest typical factor (GCF) of 28 and 42, we require to element each number (factors the 28 = 1, 2, 4, 7, 14, 28; components of 42 = 1, 2, 3, 6, 7, 14, 21, 42) and choose the greatest variable that exactly divides both 28 and also 42, i.e., 14.

How to uncover the GCF that 28 and 42 by Long department Method?

To discover the GCF that 28, 42 utilizing long division method, 42 is divided by 28. The equivalent divisor (14) once remainder equates to 0 is taken as GCF.

If the GCF of 42 and also 28 is 14, discover its LCM.

GCF(42, 28) × LCM(42, 28) = 42 × 28Since the GCF that 42 and also 28 = 14⇒ 14 × LCM(42, 28) = 1176Therefore, LCM = 84☛ Greatest typical Factor Calculator

What is the Relation in between LCM and GCF of 28, 42?

The adhering to equation have the right to be used to to express the relation in between LCM (Least common Multiple) and GCF that 28 and 42, i.e. GCF × LCM = 28 × 42.

See more: Which Of The Following Statements Best Describes Journalizing Transactions? ?

How to uncover the GCF the 28 and 42 by element Factorization?

To find the GCF of 28 and 42, we will uncover the element factorization of the provided numbers, i.e. 28 = 2 × 2 × 7; 42 = 2 × 3 × 7.⇒ since 2, 7 are usual terms in the prime factorization the 28 and also 42. Hence, GCF(28, 42) = 2 × 7 = 14☛ prime Number

What space the methods to find GCF the 28 and also 42?

There room three typically used methods to find the GCF the 28 and also 42.