Greatest Common Factor of 6725/728, 1899/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6725/728, 1899/866

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 6725/728,1899/866

Given fractions are 6725/728,1899/866

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 6725,1899

Greatest Common Factor of Numerators i.e. GCF of 6725,1899 is 1 .

LCM of Denominators means LCM of 728,866 as per the given fractions.

LCM of 728,866 is 315224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6725,1899

GCF of Fractions 6725/728,1899/866 is 1/315224

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

Greatest Common Factor of 6725,1899 By Matching Biggest Common Factor Method

Greatest Common Factor of 6725,1899 By Matching Biggest Common Factor Method

Factors of 6725

List of positive integer factors of 6725 that divides 6725 without a remainder.

1,5,25,269,1345,6725

Factors of 1899

List of positive integer factors of 1899 that divides 1899 without a remainder.

1,3,9,211,633,1899

Greatest Common Factor

We found the factors 6725,1899 . The biggest common factor number is the GCF number.
So the greatest common factor 6725,1899 is 1.

Lets's calculate LCM of 728,866

2 728, 866
364, 433

∴ So the LCM of the given numbers is 2 x 364 x 433 = 315224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315224

Therefore, the GCF of Fractions 6725/728,1899/866 is 1/315224

Least Common Multiple of 728,866 with GCF Formula

Least Common Multiple of 728,866 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 728,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,866) = 2

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

GCF(728,866) x common factors =2 x 1 = 2

LCM(728,866) = ( 728 × 866 ) / 2

LCM(728,866) = 630448 / 2

LCM(728,866) = 315224


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 6725/728, 1899/866

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 6725/728, 1899/866?

Answer: GCF of Numerators as per given numbers 6725/728, 1899/866 is

GCF of Numerators i.e. for 6725,1899 is 1

LCM of denominators i.e. for 728,866 is 315224.

Thus, GCF of Fractions is 1/315224.Finally, GCF of Fractions for 6725/728, 1899/866 is 1/315224.