How to Find GCF of 8068/425, 3376/8563?

GCF of 8068/425, 3376/8563

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8068/425, 3376/8563 i.e 4/3639275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8068/425, 3376/8563.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8068/425,3376/8563?

Given fractions are 8068/425,3376/8563

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8068/425,3376/8563, numerators are 8068,3376

Denominators are 425,8563

The GCF of 8068,3376 is 4 .

LCM of 425,8563 is 3639275.

The greatest common factor of 8068/425,3376/8563 = [GCF of 8068,3376]/[LCM of 425,8563]= 4/3639275

Therefore, the GCF of 8068/425,3376/8563 is 4/3639275.

Greatest Common Factor of 8068,3376

To find the highest common factor of 8068,3376, we have to find the factors of both numbers and list the highest common factor.

The factors of 8068 are 1, 2, 4, 2017, 4034, 8068

The factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376

The HCF of 8068,3376 is 4.

Lets's calculate GCF of 8068,3376

Greatest Common Factor (GCF) of 8068,3376 By Common Division

2	8068, 3376
2	4034, 1688
	2017, 844

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8068,3376 By Matching Biggest Common Factor Method

Now, list down the factors of 8068

1,2,4,2017,4034,8068

Now, list down the factors of 3376

1,2,4,8,16,211,422,844,1688,3376

Greatest Common Factor

We found the factors 8068,3376 . The biggest common factor number is the GCF number.
So the greatest common factor 8068,3376 is 4.

Lets's calculate LCM of 425,8563

Lowest Common Multiple of 425,8563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3639275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3639275

Therefore, the GCF of Fractions 8068/425,3376/8563 is 4/3639275

Least Common Multiple of 425,8563 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 425,8563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,8563) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(425,8563) x common factors =1 x 1 = 1

LCM(425,8563) = ( 425 × 8563 ) / 1

LCM(425,8563) = 3639275 / 1

LCM(425,8563) = 3639275

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FAQs on GCF of Fractions of 8068/425, 3376/8563

1. What is the HCF of 8068,3376?

The HCF of 8068,3376 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 8068/425, 3376/8563?

Answer: GCF of Numerators as per given numbers 8068/425, 3376/8563 is

GCF of Numerators i.e. for 8068,3376 is 4

LCM of denominators i.e. for 425,8563 is 3639275.

Thus, GCF of Fractions is 4/3639275.Finally, GCF of Fractions for 8068/425, 3376/8563 is 4/3639275.