Greatest Common Factor of 5220/636, 7853/2241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5220/636, 7853/2241

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 5220/636,7853/2241

Given fractions are 5220/636,7853/2241

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 5220,7853

Greatest Common Factor of Numerators i.e. GCF of 5220,7853 is 1 .

LCM of Denominators means LCM of 636,2241 as per the given fractions.

LCM of 636,2241 is 475092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5220,7853

GCF of Fractions 5220/636,7853/2241 is 1/475092

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

Greatest Common Factor of 5220,7853 By Matching Biggest Common Factor Method

Greatest Common Factor of 5220,7853 By Matching Biggest Common Factor Method

Factors of 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220

Factors of 7853

List of positive integer factors of 7853 that divides 7853 without a remainder.

1,7853

Greatest Common Factor

We found the factors 5220,7853 . The biggest common factor number is the GCF number.
So the greatest common factor 5220,7853 is 1.

Lets's calculate LCM of 636,2241

3 636, 2241
212, 747

∴ So the LCM of the given numbers is 3 x 212 x 747 = 475092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/475092

Therefore, the GCF of Fractions 5220/636,7853/2241 is 1/475092

Least Common Multiple of 636,2241 with GCF Formula

Least Common Multiple of 636,2241 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 636,2241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,2241) = 3

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

GCF(636,2241) x common factors =3 x 1 = 3

LCM(636,2241) = ( 636 × 2241 ) / 3

LCM(636,2241) = 1425276 / 3

LCM(636,2241) = 475092


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 5220/636, 7853/2241

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 5220/636, 7853/2241?

Answer: GCF of Numerators as per given numbers 5220/636, 7853/2241 is

GCF of Numerators i.e. for 5220,7853 is 1

LCM of denominators i.e. for 636,2241 is 475092.

Thus, GCF of Fractions is 1/475092.Finally, GCF of Fractions for 5220/636, 7853/2241 is 1/475092.