Greatest Common Factor of 28/515, 863/249, 660/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/515, 863/249, 660/805

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 28/515,863/249,660/805

Given fractions are 28/515,863/249,660/805

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 28,863,660

Greatest Common Factor of Numerators i.e. GCF of 28,863,660 is 1 .

LCM of Denominators means LCM of 515,249,805 as per the given fractions.

LCM of 515,249,805 is 20645835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,863,660

GCF of Fractions 28/515,863/249,660/805 is 1/20645835

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

Greatest Common Factor of 28,863,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,863,660 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 28,863,660 . The biggest common factor number is the GCF number.
So the greatest common factor 28,863,660 is 1.

Lets's calculate LCM of 515,249,805

5 515, 249, 805
103, 249, 161

∴ So the LCM of the given numbers is 5 x 103 x 249 x 161 = 20645835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20645835

Therefore, the GCF of Fractions 28/515,863/249,660/805 is 1/20645835

Least Common Multiple of 515,249,805 with GCF Formula

Least Common Multiple of 515,249,805 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 515,249,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,249,805) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(515,249,805) x common factors =1 x 5 = 5

LCM(515,249,805) = ( 515 × 249 × 805 ) / 5

LCM(515,249,805) = 103229175 / 5

LCM(515,249,805) = 20645835


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 28/515, 863/249, 660/805

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 28/515, 863/249, 660/805?

Answer: GCF of Numerators as per given numbers 28/515, 863/249, 660/805 is

GCF of Numerators i.e. for 28,863,660 is 1

LCM of denominators i.e. for 515,249,805 is 20645835.

Thus, GCF of Fractions is 1/20645835.Finally, GCF of Fractions for 28/515, 863/249, 660/805 is 1/20645835.