Greatest Common Factor of 2584/682, 5331/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2584/682, 5331/305

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 2584/682,5331/305

Given fractions are 2584/682,5331/305

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 2584,5331

Greatest Common Factor of Numerators i.e. GCF of 2584,5331 is 1 .

LCM of Denominators means LCM of 682,305 as per the given fractions.

LCM of 682,305 is 208010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2584,5331

GCF of Fractions 2584/682,5331/305 is 1/208010

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

Greatest Common Factor of 2584,5331 By Matching Biggest Common Factor Method

Greatest Common Factor of 2584,5331 By Matching Biggest Common Factor Method

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1,3,1777,5331

Greatest Common Factor

We found the factors 2584,5331 . The biggest common factor number is the GCF number.
So the greatest common factor 2584,5331 is 1.

Lets's calculate LCM of 682,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 208010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208010

Therefore, the GCF of Fractions 2584/682,5331/305 is 1/208010

Least Common Multiple of 682,305 with GCF Formula

Least Common Multiple of 682,305 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 682,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,305) = 1

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

GCF(682,305) x common factors =1 x 1 = 1

LCM(682,305) = ( 682 × 305 ) / 1

LCM(682,305) = 208010 / 1

LCM(682,305) = 208010


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 2584/682, 5331/305

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 2584/682, 5331/305?

Answer: GCF of Numerators as per given numbers 2584/682, 5331/305 is

GCF of Numerators i.e. for 2584,5331 is 1

LCM of denominators i.e. for 682,305 is 208010.

Thus, GCF of Fractions is 1/208010.Finally, GCF of Fractions for 2584/682, 5331/305 is 1/208010.