Greatest Common Factor of 6886/59, 6798/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6886/59, 6798/314

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 6886/59,6798/314

Given fractions are 6886/59,6798/314

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 6886,6798

Greatest Common Factor of Numerators i.e. GCF of 6886,6798 is 22 .

LCM of Denominators means LCM of 59,314 as per the given fractions.

LCM of 59,314 is 18526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6886,6798

GCF of Fractions 6886/59,6798/314 is 22/18526

2 6886, 6798
11 3443, 3399
313, 309

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 6886,6798 By Matching Biggest Common Factor Method

Greatest Common Factor of 6886,6798 By Matching Biggest Common Factor Method

Factors of 6886

List of positive integer factors of 6886 that divides 6886 without a remainder.

1,2,11,22,313,626,3443,6886

Factors of 6798

List of positive integer factors of 6798 that divides 6798 without a remainder.

1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798

Greatest Common Factor

We found the factors 6886,6798 . The biggest common factor number is the GCF number.
So the greatest common factor 6886,6798 is 22.

Lets's calculate LCM of 59,314

Given numbers has no common factors except 1. So, there LCM is their product i.e 18526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/18526

Therefore, the GCF of Fractions 6886/59,6798/314 is 22/18526

Least Common Multiple of 59,314 with GCF Formula

Least Common Multiple of 59,314 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 59,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,314) = 1

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

GCF(59,314) x common factors =1 x 1 = 1

LCM(59,314) = ( 59 × 314 ) / 1

LCM(59,314) = 18526 / 1

LCM(59,314) = 18526


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 6886/59, 6798/314

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 6886/59, 6798/314?

Answer: GCF of Numerators as per given numbers 6886/59, 6798/314 is

GCF of Numerators i.e. for 6886,6798 is 22

LCM of denominators i.e. for 59,314 is 18526.

Thus, GCF of Fractions is 22/18526.Finally, GCF of Fractions for 6886/59, 6798/314 is 22/18526.