How to Find GCF of 8613/668, 3839/4724?

GCF of 8613/668, 3839/4724

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 8613/668, 3839/4724 i.e 11/788908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8613/668, 3839/4724.

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 8613/668,3839/4724?

Given fractions are 8613/668,3839/4724

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 8613/668,3839/4724, numerators are 8613,3839

Denominators are 668,4724

The GCF of 8613,3839 is 11 .

LCM of 668,4724 is 788908.

The greatest common factor of 8613/668,3839/4724 = [GCF of 8613,3839]/[LCM of 668,4724]= 11/788908

Therefore, the GCF of 8613/668,3839/4724 is 11/788908.

Greatest Common Factor of 8613,3839

To find the highest common factor of 8613,3839, we have to find the factors of both numbers and list the highest common factor.

The factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613

The factors of 3839 are 1, 11, 349, 3839

The HCF of 8613,3839 is 11.

Lets's calculate GCF of 8613,3839

Greatest Common Factor (GCF) of 8613,3839 By Common Division

11	8613, 3839
	783, 349

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8613,3839 By Matching Biggest Common Factor Method

Now, list down the factors of 8613

1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613

Now, list down the factors of 3839

1,11,349,3839

Greatest Common Factor

We found the factors 8613,3839 . The biggest common factor number is the GCF number.
So the greatest common factor 8613,3839 is 11.

Lets's calculate LCM of 668,4724

Lowest Common Multiple of 668,4724 using Common Division

2	668, 4724
2	334, 2362
	167, 1181

∴ So the LCM of the given numbers is 2 x 2 x 167 x 1181 = 788908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/788908

Therefore, the GCF of Fractions 8613/668,3839/4724 is 11/788908

Least Common Multiple of 668,4724 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 668,4724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,4724) = 4

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

GCF(668,4724) x common factors =4 x 1 = 4

LCM(668,4724) = ( 668 × 4724 ) / 4

LCM(668,4724) = 3155632 / 4

LCM(668,4724) = 788908

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FAQs on GCF of Fractions of 8613/668, 3839/4724

1. What is the HCF of 8613,3839?

The HCF of 8613,3839 is 11

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 8613/668, 3839/4724?

Answer: GCF of Numerators as per given numbers 8613/668, 3839/4724 is

GCF of Numerators i.e. for 8613,3839 is 11

LCM of denominators i.e. for 668,4724 is 788908.

Thus, GCF of Fractions is 11/788908.Finally, GCF of Fractions for 8613/668, 3839/4724 is 11/788908.