Greatest Common Factor of 3111/814, 7088/6738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3111/814, 7088/6738

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 3111/814,7088/6738

Given fractions are 3111/814,7088/6738

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 3111,7088

Greatest Common Factor of Numerators i.e. GCF of 3111,7088 is 1 .

LCM of Denominators means LCM of 814,6738 as per the given fractions.

LCM of 814,6738 is 2742366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3111,7088

GCF of Fractions 3111/814,7088/6738 is 1/2742366

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

Greatest Common Factor of 3111,7088 By Matching Biggest Common Factor Method

Greatest Common Factor of 3111,7088 By Matching Biggest Common Factor Method

Factors of 3111

List of positive integer factors of 3111 that divides 3111 without a remainder.

1,3,17,51,61,183,1037,3111

Factors of 7088

List of positive integer factors of 7088 that divides 7088 without a remainder.

1,2,4,8,16,443,886,1772,3544,7088

Greatest Common Factor

We found the factors 3111,7088 . The biggest common factor number is the GCF number.
So the greatest common factor 3111,7088 is 1.

Lets's calculate LCM of 814,6738

2 814, 6738
407, 3369

∴ So the LCM of the given numbers is 2 x 407 x 3369 = 2742366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2742366

Therefore, the GCF of Fractions 3111/814,7088/6738 is 1/2742366

Least Common Multiple of 814,6738 with GCF Formula

Least Common Multiple of 814,6738 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 814,6738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,6738) = 2

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

GCF(814,6738) x common factors =2 x 1 = 2

LCM(814,6738) = ( 814 × 6738 ) / 2

LCM(814,6738) = 5484732 / 2

LCM(814,6738) = 2742366


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 3111/814, 7088/6738

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 3111/814, 7088/6738?

Answer: GCF of Numerators as per given numbers 3111/814, 7088/6738 is

GCF of Numerators i.e. for 3111,7088 is 1

LCM of denominators i.e. for 814,6738 is 2742366.

Thus, GCF of Fractions is 1/2742366.Finally, GCF of Fractions for 3111/814, 7088/6738 is 1/2742366.