Greatest Common Factor of 9080/327, 8421/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9080/327, 8421/286

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 9080/327,8421/286

Given fractions are 9080/327,8421/286

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 9080,8421

Greatest Common Factor of Numerators i.e. GCF of 9080,8421 is 1 .

LCM of Denominators means LCM of 327,286 as per the given fractions.

LCM of 327,286 is 93522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9080,8421

GCF of Fractions 9080/327,8421/286 is 1/93522

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

Greatest Common Factor of 9080,8421 By Matching Biggest Common Factor Method

Greatest Common Factor of 9080,8421 By Matching Biggest Common Factor Method

Factors of 9080

List of positive integer factors of 9080 that divides 9080 without a remainder.

1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1,3,7,21,401,1203,2807,8421

Greatest Common Factor

We found the factors 9080,8421 . The biggest common factor number is the GCF number.
So the greatest common factor 9080,8421 is 1.

Lets's calculate LCM of 327,286

Given numbers has no common factors except 1. So, there LCM is their product i.e 93522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93522

Therefore, the GCF of Fractions 9080/327,8421/286 is 1/93522

Least Common Multiple of 327,286 with GCF Formula

Least Common Multiple of 327,286 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 327,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,286) = 1

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

GCF(327,286) x common factors =1 x 1 = 1

LCM(327,286) = ( 327 × 286 ) / 1

LCM(327,286) = 93522 / 1

LCM(327,286) = 93522


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 9080/327, 8421/286

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 9080/327, 8421/286?

Answer: GCF of Numerators as per given numbers 9080/327, 8421/286 is

GCF of Numerators i.e. for 9080,8421 is 1

LCM of denominators i.e. for 327,286 is 93522.

Thus, GCF of Fractions is 1/93522.Finally, GCF of Fractions for 9080/327, 8421/286 is 1/93522.