Greatest Common Factor of 9303/25, 5655/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9303/25, 5655/535

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 9303/25,5655/535

Given fractions are 9303/25,5655/535

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 9303,5655

Greatest Common Factor of Numerators i.e. GCF of 9303,5655 is 3 .

LCM of Denominators means LCM of 25,535 as per the given fractions.

LCM of 25,535 is 2675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9303,5655

GCF of Fractions 9303/25,5655/535 is 3/2675

3 9303, 5655
3101, 1885

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

Greatest Common Factor of 9303,5655 By Matching Biggest Common Factor Method

Greatest Common Factor of 9303,5655 By Matching Biggest Common Factor Method

Factors of 9303

List of positive integer factors of 9303 that divides 9303 without a remainder.

1,3,7,21,443,1329,3101,9303

Factors of 5655

List of positive integer factors of 5655 that divides 5655 without a remainder.

1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655

Greatest Common Factor

We found the factors 9303,5655 . The biggest common factor number is the GCF number.
So the greatest common factor 9303,5655 is 3.

Lets's calculate LCM of 25,535

5 25, 535
5, 107

∴ So the LCM of the given numbers is 5 x 5 x 107 = 2675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2675

Therefore, the GCF of Fractions 9303/25,5655/535 is 3/2675

Least Common Multiple of 25,535 with GCF Formula

Least Common Multiple of 25,535 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 25,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,535) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(25,535) x common factors =5 x 1 = 5

LCM(25,535) = ( 25 × 535 ) / 5

LCM(25,535) = 13375 / 5

LCM(25,535) = 2675


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 9303/25, 5655/535

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 9303/25, 5655/535?

Answer: GCF of Numerators as per given numbers 9303/25, 5655/535 is

GCF of Numerators i.e. for 9303,5655 is 3

LCM of denominators i.e. for 25,535 is 2675.

Thus, GCF of Fractions is 3/2675.Finally, GCF of Fractions for 9303/25, 5655/535 is 3/2675.