Greatest Common Factor of 8183/304, 5909/7413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8183/304, 5909/7413

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 8183/304,5909/7413

Given fractions are 8183/304,5909/7413

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 8183,5909

Greatest Common Factor of Numerators i.e. GCF of 8183,5909 is 1 .

LCM of Denominators means LCM of 304,7413 as per the given fractions.

LCM of 304,7413 is 2253552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8183,5909

GCF of Fractions 8183/304,5909/7413 is 1/2253552

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

Greatest Common Factor of 8183,5909 By Matching Biggest Common Factor Method

Greatest Common Factor of 8183,5909 By Matching Biggest Common Factor Method

Factors of 8183

List of positive integer factors of 8183 that divides 8183 without a remainder.

1,7,49,167,1169,8183

Factors of 5909

List of positive integer factors of 5909 that divides 5909 without a remainder.

1,19,311,5909

Greatest Common Factor

We found the factors 8183,5909 . The biggest common factor number is the GCF number.
So the greatest common factor 8183,5909 is 1.

Lets's calculate LCM of 304,7413

Given numbers has no common factors except 1. So, there LCM is their product i.e 2253552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2253552

Therefore, the GCF of Fractions 8183/304,5909/7413 is 1/2253552

Least Common Multiple of 304,7413 with GCF Formula

Least Common Multiple of 304,7413 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 304,7413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,7413) = 1

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

GCF(304,7413) x common factors =1 x 1 = 1

LCM(304,7413) = ( 304 × 7413 ) / 1

LCM(304,7413) = 2253552 / 1

LCM(304,7413) = 2253552


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 8183/304, 5909/7413

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 8183/304, 5909/7413?

Answer: GCF of Numerators as per given numbers 8183/304, 5909/7413 is

GCF of Numerators i.e. for 8183,5909 is 1

LCM of denominators i.e. for 304,7413 is 2253552.

Thus, GCF of Fractions is 1/2253552.Finally, GCF of Fractions for 8183/304, 5909/7413 is 1/2253552.