Greatest Common Factor of 5690/580, 9344/8269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5690/580, 9344/8269

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 5690/580,9344/8269

Given fractions are 5690/580,9344/8269

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 5690,9344

Greatest Common Factor of Numerators i.e. GCF of 5690,9344 is 2 .

LCM of Denominators means LCM of 580,8269 as per the given fractions.

LCM of 580,8269 is 4796020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5690,9344

GCF of Fractions 5690/580,9344/8269 is 2/4796020

2 5690, 9344
2845, 4672

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5690,9344 By Matching Biggest Common Factor Method

Greatest Common Factor of 5690,9344 By Matching Biggest Common Factor Method

Factors of 5690

List of positive integer factors of 5690 that divides 5690 without a remainder.

1,2,5,10,569,1138,2845,5690

Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344

Greatest Common Factor

We found the factors 5690,9344 . The biggest common factor number is the GCF number.
So the greatest common factor 5690,9344 is 2.

Lets's calculate LCM of 580,8269

Given numbers has no common factors except 1. So, there LCM is their product i.e 4796020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4796020

Therefore, the GCF of Fractions 5690/580,9344/8269 is 2/4796020

Least Common Multiple of 580,8269 with GCF Formula

Least Common Multiple of 580,8269 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 580,8269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,8269) = 1

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

GCF(580,8269) x common factors =1 x 1 = 1

LCM(580,8269) = ( 580 × 8269 ) / 1

LCM(580,8269) = 4796020 / 1

LCM(580,8269) = 4796020


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 5690/580, 9344/8269

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 5690/580, 9344/8269?

Answer: GCF of Numerators as per given numbers 5690/580, 9344/8269 is

GCF of Numerators i.e. for 5690,9344 is 2

LCM of denominators i.e. for 580,8269 is 4796020.

Thus, GCF of Fractions is 2/4796020.Finally, GCF of Fractions for 5690/580, 9344/8269 is 2/4796020.