Greatest Common Factor of 903/765, 708/177, 240/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/765, 708/177, 240/667

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 903/765,708/177,240/667

Given fractions are 903/765,708/177,240/667

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 903,708,240

Greatest Common Factor of Numerators i.e. GCF of 903,708,240 is 3 .

LCM of Denominators means LCM of 765,177,667 as per the given fractions.

LCM of 765,177,667 is 30105045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,708,240

GCF of Fractions 903/765,708/177,240/667 is 3/30105045

3 903, 708, 240
301, 236, 80

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

Greatest Common Factor of 903,708,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,708,240 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

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

Greatest Common Factor

We found the factors 903,708,240 . The biggest common factor number is the GCF number.
So the greatest common factor 903,708,240 is 3.

Lets's calculate LCM of 765,177,667

3 765, 177, 667
255, 59, 667

∴ So the LCM of the given numbers is 3 x 255 x 59 x 667 = 30105045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30105045

Therefore, the GCF of Fractions 903/765,708/177,240/667 is 3/30105045

Least Common Multiple of 765,177,667 with GCF Formula

Least Common Multiple of 765,177,667 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 765,177,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,177,667) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(765,177,667) x common factors =1 x 3 = 3

LCM(765,177,667) = ( 765 × 177 × 667 ) / 3

LCM(765,177,667) = 90315135 / 3

LCM(765,177,667) = 30105045


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 903/765, 708/177, 240/667

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 903/765, 708/177, 240/667?

Answer: GCF of Numerators as per given numbers 903/765, 708/177, 240/667 is

GCF of Numerators i.e. for 903,708,240 is 3

LCM of denominators i.e. for 765,177,667 is 30105045.

Thus, GCF of Fractions is 3/30105045.Finally, GCF of Fractions for 903/765, 708/177, 240/667 is 3/30105045.