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GCF of 8031/893, 5757/4676

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 8031/893, 5757/4676 i.e 3/4175668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8031/893, 5757/4676.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 8031/893,5757/4676?

Given fractions are 8031/893,5757/4676

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 8031/893,5757/4676, numerators are 8031,5757

Denominators are 893,4676

The GCF of 8031,5757 is 3 .

LCM of 893,4676 is 4175668.

The greatest common factor of 8031/893,5757/4676 = [GCF of 8031,5757]/[LCM of 893,4676]= 3/4175668

Therefore, the GCF of 8031/893,5757/4676 is 3/4175668.

Greatest Common Factor of 8031,5757

To find the highest common factor of 8031,5757, we have to find the factors of both numbers and list the highest common factor.

The factors of 8031 are 1, 3, 2677, 8031

The factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757

The HCF of 8031,5757 is 3.

Lets's calculate GCF of 8031,5757

Greatest Common Factor (GCF) of 8031,5757 By Common Division

3 8031, 5757
2677, 1919

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8031,5757 By Matching Biggest Common Factor Method

Greatest Common Factor of 8031,5757 By Matching Biggest Common Factor Method

Now, list down the factors of 8031

:

1,3,2677,8031

Now, list down the factors of 5757

:

1,3,19,57,101,303,1919,5757

Greatest Common Factor

We found the factors 8031,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 8031,5757 is 3.


Lets's calculate LCM of 893,4676

Lowest Common Multiple of 893,4676 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4175668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4175668

Therefore, the GCF of Fractions 8031/893,5757/4676 is 3/4175668

Least Common Multiple of 893,4676 with GCF Formula

Least Common Multiple of 893,4676 with GCF Formula

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

We need to calculate greatest common factor of 893,4676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,4676) = 1

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

GCF(893,4676) x common factors =1 x 1 = 1

LCM(893,4676) = ( 893 × 4676 ) / 1

LCM(893,4676) = 4175668 / 1

LCM(893,4676) = 4175668


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8031/893, 5757/4676

1. What is the HCF of 8031,5757?

The HCF of 8031,5757 is 3

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 8031/893, 5757/4676?

Answer: GCF of Numerators as per given numbers 8031/893, 5757/4676 is

GCF of Numerators i.e. for 8031,5757 is 3

LCM of denominators i.e. for 893,4676 is 4175668.

Thus, GCF of Fractions is 3/4175668.Finally, GCF of Fractions for 8031/893, 5757/4676 is 3/4175668.