How to Find GCF of 4779/904, 3337/5672?

GCF of 4779/904, 3337/5672

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 4779/904, 3337/5672 i.e 1/640936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4779/904, 3337/5672.

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 4779/904,3337/5672?

Given fractions are 4779/904,3337/5672

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 4779/904,3337/5672, numerators are 4779,3337

Denominators are 904,5672

The GCF of 4779,3337 is 1 .

LCM of 904,5672 is 640936.

The greatest common factor of 4779/904,3337/5672 = [GCF of 4779,3337]/[LCM of 904,5672]= 1/640936

Therefore, the GCF of 4779/904,3337/5672 is 1/640936.

Greatest Common Factor of 4779,3337

To find the highest common factor of 4779,3337, we have to find the factors of both numbers and list the highest common factor.

The factors of 4779 are 1, 3, 9, 27, 59, 81, 177, 531, 1593, 4779

The factors of 3337 are 1, 47, 71, 3337

The HCF of 4779,3337 is 1.

Lets's calculate GCF of 4779,3337

Greatest Common Factor (GCF) of 4779,3337 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4779,3337 By Matching Biggest Common Factor Method

Now, list down the factors of 4779

1,3,9,27,59,81,177,531,1593,4779

Now, list down the factors of 3337

1,47,71,3337

Greatest Common Factor

We found the factors 4779,3337 . The biggest common factor number is the GCF number.
So the greatest common factor 4779,3337 is 1.

Lets's calculate LCM of 904,5672

Lowest Common Multiple of 904,5672 using Common Division

2	904, 5672
2	452, 2836
2	226, 1418
	113, 709

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 709 = 640936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/640936

Therefore, the GCF of Fractions 4779/904,3337/5672 is 1/640936

Least Common Multiple of 904,5672 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 904,5672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,5672) = 8

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

GCF(904,5672) x common factors =8 x 1 = 8

LCM(904,5672) = ( 904 × 5672 ) / 8

LCM(904,5672) = 5127488 / 8

LCM(904,5672) = 640936

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FAQs on GCF of Fractions of 4779/904, 3337/5672

1. What is the HCF of 4779,3337?

The HCF of 4779,3337 is 1

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 4779/904, 3337/5672?

Answer: GCF of Numerators as per given numbers 4779/904, 3337/5672 is

GCF of Numerators i.e. for 4779,3337 is 1

LCM of denominators i.e. for 904,5672 is 640936.

Thus, GCF of Fractions is 1/640936.Finally, GCF of Fractions for 4779/904, 3337/5672 is 1/640936.