Greatest Common Factor of 8310/679, 5361/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8310/679, 5361/544

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 8310/679,5361/544

Given fractions are 8310/679,5361/544

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 8310,5361

Greatest Common Factor of Numerators i.e. GCF of 8310,5361 is 3 .

LCM of Denominators means LCM of 679,544 as per the given fractions.

LCM of 679,544 is 369376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8310,5361

GCF of Fractions 8310/679,5361/544 is 3/369376

3 8310, 5361
2770, 1787

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

Greatest Common Factor of 8310,5361 By Matching Biggest Common Factor Method

Greatest Common Factor of 8310,5361 By Matching Biggest Common Factor Method

Factors of 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310

Factors of 5361

List of positive integer factors of 5361 that divides 5361 without a remainder.

1,3,1787,5361

Greatest Common Factor

We found the factors 8310,5361 . The biggest common factor number is the GCF number.
So the greatest common factor 8310,5361 is 3.

Lets's calculate LCM of 679,544

Given numbers has no common factors except 1. So, there LCM is their product i.e 369376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/369376

Therefore, the GCF of Fractions 8310/679,5361/544 is 3/369376

Least Common Multiple of 679,544 with GCF Formula

Least Common Multiple of 679,544 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 679,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,544) = 1

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

GCF(679,544) x common factors =1 x 1 = 1

LCM(679,544) = ( 679 × 544 ) / 1

LCM(679,544) = 369376 / 1

LCM(679,544) = 369376


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 8310/679, 5361/544

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 8310/679, 5361/544?

Answer: GCF of Numerators as per given numbers 8310/679, 5361/544 is

GCF of Numerators i.e. for 8310,5361 is 3

LCM of denominators i.e. for 679,544 is 369376.

Thus, GCF of Fractions is 3/369376.Finally, GCF of Fractions for 8310/679, 5361/544 is 3/369376.