Greatest Common Factor of 5128/773, 9748/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5128/773, 9748/866

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 5128/773,9748/866

Given fractions are 5128/773,9748/866

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5128,9748

Greatest Common Factor of Numerators i.e. GCF of 5128,9748 is 4 .

LCM of Denominators means LCM of 773,866 as per the given fractions.

LCM of 773,866 is 669418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5128,9748

GCF of Fractions 5128/773,9748/866 is 4/669418

2 5128, 9748
2 2564, 4874
1282, 2437

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

Greatest Common Factor of 5128,9748 By Matching Biggest Common Factor Method

Greatest Common Factor of 5128,9748 By Matching Biggest Common Factor Method

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1,2,4,8,641,1282,2564,5128

Factors of 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1,2,4,2437,4874,9748

Greatest Common Factor

We found the factors 5128,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 5128,9748 is 4.

Lets's calculate LCM of 773,866

Given numbers has no common factors except 1. So, there LCM is their product i.e 669418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/669418

Therefore, the GCF of Fractions 5128/773,9748/866 is 4/669418

Least Common Multiple of 773,866 with GCF Formula

Least Common Multiple of 773,866 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 773,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,866) = 1

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

GCF(773,866) x common factors =1 x 1 = 1

LCM(773,866) = ( 773 × 866 ) / 1

LCM(773,866) = 669418 / 1

LCM(773,866) = 669418


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5128/773, 9748/866

1. 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.

2. What is the GCF of Fractions for 5128/773, 9748/866?

Answer: GCF of Numerators as per given numbers 5128/773, 9748/866 is

GCF of Numerators i.e. for 5128,9748 is 4

LCM of denominators i.e. for 773,866 is 669418.

Thus, GCF of Fractions is 4/669418.Finally, GCF of Fractions for 5128/773, 9748/866 is 4/669418.