Greatest Common Factor of 7563/779, 1317/7068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7563/779, 1317/7068

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 7563/779,1317/7068

Given fractions are 7563/779,1317/7068

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 7563,1317

Greatest Common Factor of Numerators i.e. GCF of 7563,1317 is 3 .

LCM of Denominators means LCM of 779,7068 as per the given fractions.

LCM of 779,7068 is 289788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7563,1317

GCF of Fractions 7563/779,1317/7068 is 3/289788

3 7563, 1317
2521, 439

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

Greatest Common Factor of 7563,1317 By Matching Biggest Common Factor Method

Greatest Common Factor of 7563,1317 By Matching Biggest Common Factor Method

Factors of 7563

List of positive integer factors of 7563 that divides 7563 without a remainder.

1,3,2521,7563

Factors of 1317

List of positive integer factors of 1317 that divides 1317 without a remainder.

1,3,439,1317

Greatest Common Factor

We found the factors 7563,1317 . The biggest common factor number is the GCF number.
So the greatest common factor 7563,1317 is 3.

Lets's calculate LCM of 779,7068

19 779, 7068
41, 372

∴ So the LCM of the given numbers is 19 x 41 x 372 = 289788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/289788

Therefore, the GCF of Fractions 7563/779,1317/7068 is 3/289788

Least Common Multiple of 779,7068 with GCF Formula

Least Common Multiple of 779,7068 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 779,7068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,7068) = 19

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

GCF(779,7068) x common factors =19 x 1 = 19

LCM(779,7068) = ( 779 × 7068 ) / 19

LCM(779,7068) = 5505972 / 19

LCM(779,7068) = 289788


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 7563/779, 1317/7068

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 7563/779, 1317/7068?

Answer: GCF of Numerators as per given numbers 7563/779, 1317/7068 is

GCF of Numerators i.e. for 7563,1317 is 3

LCM of denominators i.e. for 779,7068 is 289788.

Thus, GCF of Fractions is 3/289788.Finally, GCF of Fractions for 7563/779, 1317/7068 is 3/289788.