Greatest Common Factor of 9327/760, 6173/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9327/760, 6173/730

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 9327/760,6173/730

Given fractions are 9327/760,6173/730

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 9327,6173

Greatest Common Factor of Numerators i.e. GCF of 9327,6173 is 1 .

LCM of Denominators means LCM of 760,730 as per the given fractions.

LCM of 760,730 is 55480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9327,6173

GCF of Fractions 9327/760,6173/730 is 1/55480

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9327,6173 By Matching Biggest Common Factor Method

Greatest Common Factor of 9327,6173 By Matching Biggest Common Factor Method

Factors of 9327

List of positive integer factors of 9327 that divides 9327 without a remainder.

1,3,3109,9327

Factors of 6173

List of positive integer factors of 6173 that divides 6173 without a remainder.

1,6173

Greatest Common Factor

We found the factors 9327,6173 . The biggest common factor number is the GCF number.
So the greatest common factor 9327,6173 is 1.

Lets's calculate LCM of 760,730

2 760, 730
5 380, 365
76, 73

∴ So the LCM of the given numbers is 2 x 5 x 76 x 73 = 55480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55480

Therefore, the GCF of Fractions 9327/760,6173/730 is 1/55480

Least Common Multiple of 760,730 with GCF Formula

Least Common Multiple of 760,730 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 760,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,730) = 10

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

GCF(760,730) x common factors =10 x 1 = 10

LCM(760,730) = ( 760 × 730 ) / 10

LCM(760,730) = 554800 / 10

LCM(760,730) = 55480


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 9327/760, 6173/730

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 9327/760, 6173/730?

Answer: GCF of Numerators as per given numbers 9327/760, 6173/730 is

GCF of Numerators i.e. for 9327,6173 is 1

LCM of denominators i.e. for 760,730 is 55480.

Thus, GCF of Fractions is 1/55480.Finally, GCF of Fractions for 9327/760, 6173/730 is 1/55480.