GCF that 28 and also 70 is the largest possible number that divides 28 and also 70 precisely without any kind of remainder. The components of 28 and 70 are 1, 2, 4, 7, 14, 28 and 1, 2, 5, 7, 10, 14, 35, 70 respectively. There room 3 generally used approaches to find the GCF of 28 and 70 - lengthy division, element factorization, and also Euclidean algorithm.

You are watching: Greatest common factor of 28 and 70

1.GCF that 28 and also 70
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 28 and also 70 is 14.

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Explanation:

The GCF of two non-zero integers, x(28) and also y(70), is the biggest positive essence m(14) the divides both x(28) and y(70) without any kind of remainder.


The techniques to uncover the GCF that 28 and 70 are explained below.

Prime administrate MethodListing usual FactorsLong division Method

GCF that 28 and also 70 by element Factorization

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Prime administrate of 28 and also 70 is (2 × 2 × 7) and (2 × 5 × 7) respectively. Together visible, 28 and also 70 have typical prime factors. Hence, the GCF that 28 and also 70 is 2 × 7 = 14.

GCF that 28 and also 70 by Listing common Factors

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Factors that 28: 1, 2, 4, 7, 14, 28Factors the 70: 1, 2, 5, 7, 10, 14, 35, 70

There space 4 typical factors that 28 and also 70, that space 1, 2, 14, and 7. Therefore, the greatest typical factor of 28 and also 70 is 14.

GCF the 28 and 70 by lengthy Division

GCF the 28 and 70 is the divisor that we obtain when the remainder i do not care 0 ~ doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of step 1 (28) by the remainder (14).Step 3: Repeat this procedure until the remainder = 0.

The equivalent divisor (14) is the GCF of 28 and 70.

☛ also Check:


GCF that 28 and 70 Examples


Example 1: For 2 numbers, GCF = 14 and LCM = 140. If one number is 28, discover the other number.

Solution:

Given: GCF (y, 28) = 14 and also LCM (y, 28) = 140∵ GCF × LCM = 28 × (y)⇒ y = (GCF × LCM)/28⇒ y = (14 × 140)/28⇒ y = 70Therefore, the other number is 70.


Example 2: uncover the GCF the 28 and 70, if their LCM is 140.

Solution:

∵ LCM × GCF = 28 × 70⇒ GCF(28, 70) = (28 × 70)/140 = 14Therefore, the greatest typical factor that 28 and 70 is 14.


Example 3: The product of two numbers is 1960. If your GCF is 14, what is their LCM?

Solution:

Given: GCF = 14 and also product of numbers = 1960∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 1960/14Therefore, the LCM is 140.


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FAQs on GCF of 28 and 70

What is the GCF the 28 and also 70?

The GCF the 28 and 70 is 14. To calculation the greatest usual factor (GCF) that 28 and also 70, we require to variable each number (factors the 28 = 1, 2, 4, 7, 14, 28; factors of 70 = 1, 2, 5, 7, 10, 14, 35, 70) and also choose the greatest factor that exactly divides both 28 and also 70, i.e., 14.

What is the Relation in between LCM and also GCF that 28, 70?

The complying with equation deserve to be provided to to express the relation between Least typical Multiple (LCM) and GCF the 28 and 70, i.e. GCF × LCM = 28 × 70.

If the GCF of 70 and 28 is 14, uncover its LCM.

GCF(70, 28) × LCM(70, 28) = 70 × 28Since the GCF of 70 and also 28 = 14⇒ 14 × LCM(70, 28) = 1960Therefore, LCM = 140☛ Greatest usual Factor Calculator

How to uncover the GCF the 28 and also 70 through Long division Method?

To uncover the GCF of 28, 70 making use of long department method, 70 is divided by 28. The corresponding divisor (14) once remainder equals 0 is taken as GCF.

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How to uncover the GCF the 28 and 70 by prime Factorization?

To discover the GCF of 28 and 70, we will discover the element factorization the the offered numbers, i.e. 28 = 2 × 2 × 7; 70 = 2 × 5 × 7.⇒ since 2, 7 are typical terms in the prime factorization the 28 and also 70. Hence, GCF(28, 70) = 2 × 7 = 14☛ What are Prime Numbers?

What space the techniques to find GCF of 28 and also 70?

There room three generally used approaches to discover the GCF that 28 and 70.