Greatest Common Factor of 573/537, 916/534, 218/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/537, 916/534, 218/828

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 573/537,916/534,218/828

Given fractions are 573/537,916/534,218/828

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 573,916,218

Greatest Common Factor of Numerators i.e. GCF of 573,916,218 is 1 .

LCM of Denominators means LCM of 537,534,828 as per the given fractions.

LCM of 537,534,828 is 13190868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,916,218

GCF of Fractions 573/537,916/534,218/828 is 1/13190868

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

Greatest Common Factor of 573,916,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,916,218 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 573,916,218 . The biggest common factor number is the GCF number.
So the greatest common factor 573,916,218 is 1.

Lets's calculate LCM of 537,534,828

2 537, 534, 828
3 537, 267, 414
179, 89, 138

∴ So the LCM of the given numbers is 2 x 3 x 179 x 89 x 138 = 13190868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13190868

Therefore, the GCF of Fractions 573/537,916/534,218/828 is 1/13190868

Least Common Multiple of 537,534,828 with GCF Formula

Least Common Multiple of 537,534,828 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 537,534,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,534,828) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(537,534,828) x common factors =3 x 6 = 18

LCM(537,534,828) = ( 537 × 534 × 828 ) / 18

LCM(537,534,828) = 237435624 / 18

LCM(537,534,828) = 13190868


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 573/537, 916/534, 218/828

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 573/537, 916/534, 218/828?

Answer: GCF of Numerators as per given numbers 573/537, 916/534, 218/828 is

GCF of Numerators i.e. for 573,916,218 is 1

LCM of denominators i.e. for 537,534,828 is 13190868.

Thus, GCF of Fractions is 1/13190868.Finally, GCF of Fractions for 573/537, 916/534, 218/828 is 1/13190868.