Greatest Common Factor of 2769/369, 9303/3281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2769/369, 9303/3281

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 2769/369,9303/3281

Given fractions are 2769/369,9303/3281

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 2769,9303

Greatest Common Factor of Numerators i.e. GCF of 2769,9303 is 3 .

LCM of Denominators means LCM of 369,3281 as per the given fractions.

LCM of 369,3281 is 1210689 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2769,9303

GCF of Fractions 2769/369,9303/3281 is 3/1210689

3 2769, 9303
923, 3101

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

Greatest Common Factor of 2769,9303 By Matching Biggest Common Factor Method

Greatest Common Factor of 2769,9303 By Matching Biggest Common Factor Method

Factors of 2769

List of positive integer factors of 2769 that divides 2769 without a remainder.

1,3,13,39,71,213,923,2769

Factors of 9303

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

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

Greatest Common Factor

We found the factors 2769,9303 . The biggest common factor number is the GCF number.
So the greatest common factor 2769,9303 is 3.

Lets's calculate LCM of 369,3281

Given numbers has no common factors except 1. So, there LCM is their product i.e 1210689

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1210689

Therefore, the GCF of Fractions 2769/369,9303/3281 is 3/1210689

Least Common Multiple of 369,3281 with GCF Formula

Least Common Multiple of 369,3281 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 369,3281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,3281) = 1

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

GCF(369,3281) x common factors =1 x 1 = 1

LCM(369,3281) = ( 369 × 3281 ) / 1

LCM(369,3281) = 1210689 / 1

LCM(369,3281) = 1210689


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 2769/369, 9303/3281

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 2769/369, 9303/3281?

Answer: GCF of Numerators as per given numbers 2769/369, 9303/3281 is

GCF of Numerators i.e. for 2769,9303 is 3

LCM of denominators i.e. for 369,3281 is 1210689.

Thus, GCF of Fractions is 3/1210689.Finally, GCF of Fractions for 2769/369, 9303/3281 is 3/1210689.