Greatest Common Factor of 6814/285, 6542/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6814/285, 6542/726

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 6814/285,6542/726

Given fractions are 6814/285,6542/726

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 6814,6542

Greatest Common Factor of Numerators i.e. GCF of 6814,6542 is 2 .

LCM of Denominators means LCM of 285,726 as per the given fractions.

LCM of 285,726 is 68970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6814,6542

GCF of Fractions 6814/285,6542/726 is 2/68970

2 6814, 6542
3407, 3271

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6814,6542 By Matching Biggest Common Factor Method

Greatest Common Factor of 6814,6542 By Matching Biggest Common Factor Method

Factors of 6814

List of positive integer factors of 6814 that divides 6814 without a remainder.

1,2,3407,6814

Factors of 6542

List of positive integer factors of 6542 that divides 6542 without a remainder.

1,2,3271,6542

Greatest Common Factor

We found the factors 6814,6542 . The biggest common factor number is the GCF number.
So the greatest common factor 6814,6542 is 2.

Lets's calculate LCM of 285,726

3 285, 726
95, 242

∴ So the LCM of the given numbers is 3 x 95 x 242 = 68970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68970

Therefore, the GCF of Fractions 6814/285,6542/726 is 2/68970

Least Common Multiple of 285,726 with GCF Formula

Least Common Multiple of 285,726 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 285,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,726) = 3

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

GCF(285,726) x common factors =3 x 1 = 3

LCM(285,726) = ( 285 × 726 ) / 3

LCM(285,726) = 206910 / 3

LCM(285,726) = 68970


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 6814/285, 6542/726

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 6814/285, 6542/726?

Answer: GCF of Numerators as per given numbers 6814/285, 6542/726 is

GCF of Numerators i.e. for 6814,6542 is 2

LCM of denominators i.e. for 285,726 is 68970.

Thus, GCF of Fractions is 2/68970.Finally, GCF of Fractions for 6814/285, 6542/726 is 2/68970.