Greatest Common Factor of 8061/522, 6689/1148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8061/522, 6689/1148

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 8061/522,6689/1148

Given fractions are 8061/522,6689/1148

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 8061,6689

Greatest Common Factor of Numerators i.e. GCF of 8061,6689 is 1 .

LCM of Denominators means LCM of 522,1148 as per the given fractions.

LCM of 522,1148 is 299628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8061,6689

GCF of Fractions 8061/522,6689/1148 is 1/299628

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

Greatest Common Factor of 8061,6689 By Matching Biggest Common Factor Method

Greatest Common Factor of 8061,6689 By Matching Biggest Common Factor Method

Factors of 8061

List of positive integer factors of 8061 that divides 8061 without a remainder.

1,3,2687,8061

Factors of 6689

List of positive integer factors of 6689 that divides 6689 without a remainder.

1,6689

Greatest Common Factor

We found the factors 8061,6689 . The biggest common factor number is the GCF number.
So the greatest common factor 8061,6689 is 1.

Lets's calculate LCM of 522,1148

2 522, 1148
261, 574

∴ So the LCM of the given numbers is 2 x 261 x 574 = 299628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299628

Therefore, the GCF of Fractions 8061/522,6689/1148 is 1/299628

Least Common Multiple of 522,1148 with GCF Formula

Least Common Multiple of 522,1148 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 522,1148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,1148) = 2

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

GCF(522,1148) x common factors =2 x 1 = 2

LCM(522,1148) = ( 522 × 1148 ) / 2

LCM(522,1148) = 599256 / 2

LCM(522,1148) = 299628


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 8061/522, 6689/1148

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 8061/522, 6689/1148?

Answer: GCF of Numerators as per given numbers 8061/522, 6689/1148 is

GCF of Numerators i.e. for 8061,6689 is 1

LCM of denominators i.e. for 522,1148 is 299628.

Thus, GCF of Fractions is 1/299628.Finally, GCF of Fractions for 8061/522, 6689/1148 is 1/299628.