Greatest Common Factor of 5505/369, 7293/1065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5505/369, 7293/1065

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 5505/369,7293/1065

Given fractions are 5505/369,7293/1065

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 5505,7293

Greatest Common Factor of Numerators i.e. GCF of 5505,7293 is 3 .

LCM of Denominators means LCM of 369,1065 as per the given fractions.

LCM of 369,1065 is 130995 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5505,7293

GCF of Fractions 5505/369,7293/1065 is 3/130995

3 5505, 7293
1835, 2431

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

Greatest Common Factor of 5505,7293 By Matching Biggest Common Factor Method

Greatest Common Factor of 5505,7293 By Matching Biggest Common Factor Method

Factors of 5505

List of positive integer factors of 5505 that divides 5505 without a remainder.

1,3,5,15,367,1101,1835,5505

Factors of 7293

List of positive integer factors of 7293 that divides 7293 without a remainder.

1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293

Greatest Common Factor

We found the factors 5505,7293 . The biggest common factor number is the GCF number.
So the greatest common factor 5505,7293 is 3.

Lets's calculate LCM of 369,1065

3 369, 1065
123, 355

∴ So the LCM of the given numbers is 3 x 123 x 355 = 130995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/130995

Therefore, the GCF of Fractions 5505/369,7293/1065 is 3/130995

Least Common Multiple of 369,1065 with GCF Formula

Least Common Multiple of 369,1065 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 369,1065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,1065) = 3

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

GCF(369,1065) x common factors =3 x 1 = 3

LCM(369,1065) = ( 369 × 1065 ) / 3

LCM(369,1065) = 392985 / 3

LCM(369,1065) = 130995


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 5505/369, 7293/1065

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 5505/369, 7293/1065?

Answer: GCF of Numerators as per given numbers 5505/369, 7293/1065 is

GCF of Numerators i.e. for 5505,7293 is 3

LCM of denominators i.e. for 369,1065 is 130995.

Thus, GCF of Fractions is 3/130995.Finally, GCF of Fractions for 5505/369, 7293/1065 is 3/130995.