Greatest Common Factor of 5303/636, 8310/2313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5303/636, 8310/2313

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 5303/636,8310/2313

Given fractions are 5303/636,8310/2313

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 5303,8310

Greatest Common Factor of Numerators i.e. GCF of 5303,8310 is 1 .

LCM of Denominators means LCM of 636,2313 as per the given fractions.

LCM of 636,2313 is 490356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5303,8310

GCF of Fractions 5303/636,8310/2313 is 1/490356

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

Greatest Common Factor of 5303,8310 By Matching Biggest Common Factor Method

Greatest Common Factor of 5303,8310 By Matching Biggest Common Factor Method

Factors of 5303

List of positive integer factors of 5303 that divides 5303 without a remainder.

1,5303

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

Greatest Common Factor

We found the factors 5303,8310 . The biggest common factor number is the GCF number.
So the greatest common factor 5303,8310 is 1.

Lets's calculate LCM of 636,2313

3 636, 2313
212, 771

∴ So the LCM of the given numbers is 3 x 212 x 771 = 490356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/490356

Therefore, the GCF of Fractions 5303/636,8310/2313 is 1/490356

Least Common Multiple of 636,2313 with GCF Formula

Least Common Multiple of 636,2313 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 636,2313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,2313) = 3

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

GCF(636,2313) x common factors =3 x 1 = 3

LCM(636,2313) = ( 636 × 2313 ) / 3

LCM(636,2313) = 1471068 / 3

LCM(636,2313) = 490356


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 5303/636, 8310/2313

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 5303/636, 8310/2313?

Answer: GCF of Numerators as per given numbers 5303/636, 8310/2313 is

GCF of Numerators i.e. for 5303,8310 is 1

LCM of denominators i.e. for 636,2313 is 490356.

Thus, GCF of Fractions is 1/490356.Finally, GCF of Fractions for 5303/636, 8310/2313 is 1/490356.