Greatest Common Factor of 7317/55, 9735/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7317/55, 9735/330

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 7317/55,9735/330

Given fractions are 7317/55,9735/330

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 7317,9735

Greatest Common Factor of Numerators i.e. GCF of 7317,9735 is 3 .

LCM of Denominators means LCM of 55,330 as per the given fractions.

LCM of 55,330 is 330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7317,9735

GCF of Fractions 7317/55,9735/330 is 3/330

3 7317, 9735
2439, 3245

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

Greatest Common Factor of 7317,9735 By Matching Biggest Common Factor Method

Greatest Common Factor of 7317,9735 By Matching Biggest Common Factor Method

Factors of 7317

List of positive integer factors of 7317 that divides 7317 without a remainder.

1,3,9,27,271,813,2439,7317

Factors of 9735

List of positive integer factors of 9735 that divides 9735 without a remainder.

1,3,5,11,15,33,55,59,165,177,295,649,885,1947,3245,9735

Greatest Common Factor

We found the factors 7317,9735 . The biggest common factor number is the GCF number.
So the greatest common factor 7317,9735 is 3.

Lets's calculate LCM of 55,330

5 55, 330
11 11, 66
1, 6

∴ So the LCM of the given numbers is 5 x 11 x 1 x 6 = 330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/330

Therefore, the GCF of Fractions 7317/55,9735/330 is 3/330

Least Common Multiple of 55,330 with GCF Formula

Least Common Multiple of 55,330 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 55,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,330) = 55

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

GCF(55,330) x common factors =55 x 1 = 55

LCM(55,330) = ( 55 × 330 ) / 55

LCM(55,330) = 18150 / 55

LCM(55,330) = 330


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 7317/55, 9735/330

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 7317/55, 9735/330?

Answer: GCF of Numerators as per given numbers 7317/55, 9735/330 is

GCF of Numerators i.e. for 7317,9735 is 3

LCM of denominators i.e. for 55,330 is 330.

Thus, GCF of Fractions is 3/330.Finally, GCF of Fractions for 7317/55, 9735/330 is 3/330.