Greatest Common Factor of 333/205, 240/972, 654/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 333/205, 240/972, 654/792

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 333/205,240/972,654/792

Given fractions are 333/205,240/972,654/792

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 333,240,654

Greatest Common Factor of Numerators i.e. GCF of 333,240,654 is 3 .

LCM of Denominators means LCM of 205,972,792 as per the given fractions.

LCM of 205,972,792 is 4383720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 333,240,654

GCF of Fractions 333/205,240/972,654/792 is 3/4383720

3 333, 240, 654
111, 80, 218

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 333,240,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,240,654 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 333,240,654 . The biggest common factor number is the GCF number.
So the greatest common factor 333,240,654 is 3.

Lets's calculate LCM of 205,972,792

2 205, 972, 792
2 205, 486, 396
3 205, 243, 198
3 205, 81, 66
205, 27, 22

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 205 x 27 x 22 = 4383720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4383720

Therefore, the GCF of Fractions 333/205,240/972,654/792 is 3/4383720

Least Common Multiple of 205,972,792 with GCF Formula

Least Common Multiple of 205,972,792 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 205,972,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,972,792) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(205,972,792) x common factors =1 x 36 = 36

LCM(205,972,792) = ( 205 × 972 × 792 ) / 36

LCM(205,972,792) = 157813920 / 36

LCM(205,972,792) = 4383720


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 333/205, 240/972, 654/792

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 333/205, 240/972, 654/792?

Answer: GCF of Numerators as per given numbers 333/205, 240/972, 654/792 is

GCF of Numerators i.e. for 333,240,654 is 3

LCM of denominators i.e. for 205,972,792 is 4383720.

Thus, GCF of Fractions is 3/4383720.Finally, GCF of Fractions for 333/205, 240/972, 654/792 is 3/4383720.