Greatest Common Factor of 337/585, 428/321, 825/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 337/585, 428/321, 825/333

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 337/585,428/321,825/333

Given fractions are 337/585,428/321,825/333

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 337,428,825

Greatest Common Factor of Numerators i.e. GCF of 337,428,825 is 1 .

LCM of Denominators means LCM of 585,321,333 as per the given fractions.

LCM of 585,321,333 is 2316015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 337,428,825

GCF of Fractions 337/585,428/321,825/333 is 1/2316015

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

Greatest Common Factor of 337,428,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,428,825 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 337,428,825 . The biggest common factor number is the GCF number.
So the greatest common factor 337,428,825 is 1.

Lets's calculate LCM of 585,321,333

3 585, 321, 333
3 195, 107, 111
65, 107, 37

∴ So the LCM of the given numbers is 3 x 3 x 65 x 107 x 37 = 2316015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2316015

Therefore, the GCF of Fractions 337/585,428/321,825/333 is 1/2316015

Least Common Multiple of 585,321,333 with GCF Formula

Least Common Multiple of 585,321,333 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 585,321,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,321,333) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(585,321,333) x common factors =3 x 9 = 27

LCM(585,321,333) = ( 585 × 321 × 333 ) / 27

LCM(585,321,333) = 62532405 / 27

LCM(585,321,333) = 2316015


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 337/585, 428/321, 825/333

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 337/585, 428/321, 825/333?

Answer: GCF of Numerators as per given numbers 337/585, 428/321, 825/333 is

GCF of Numerators i.e. for 337,428,825 is 1

LCM of denominators i.e. for 585,321,333 is 2316015.

Thus, GCF of Fractions is 1/2316015.Finally, GCF of Fractions for 337/585, 428/321, 825/333 is 1/2316015.