Greatest Common Factor of 586/514, 8564/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 586/514, 8564/712

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 586/514,8564/712

Given fractions are 586/514,8564/712

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 586,8564

Greatest Common Factor of Numerators i.e. GCF of 586,8564 is 2 .

LCM of Denominators means LCM of 514,712 as per the given fractions.

LCM of 514,712 is 182984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 586,8564

GCF of Fractions 586/514,8564/712 is 2/182984

2 586, 8564
293, 4282

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

Greatest Common Factor of 586,8564 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,8564 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 8564

List of positive integer factors of 8564 that divides 8564 without a remainder.

1,2,4,2141,4282,8564

Greatest Common Factor

We found the factors 586,8564 . The biggest common factor number is the GCF number.
So the greatest common factor 586,8564 is 2.

Lets's calculate LCM of 514,712

2 514, 712
257, 356

∴ So the LCM of the given numbers is 2 x 257 x 356 = 182984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182984

Therefore, the GCF of Fractions 586/514,8564/712 is 2/182984

Least Common Multiple of 514,712 with GCF Formula

Least Common Multiple of 514,712 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 514,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,712) = 2

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

GCF(514,712) x common factors =2 x 1 = 2

LCM(514,712) = ( 514 × 712 ) / 2

LCM(514,712) = 365968 / 2

LCM(514,712) = 182984


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 586/514, 8564/712

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 586/514, 8564/712?

Answer: GCF of Numerators as per given numbers 586/514, 8564/712 is

GCF of Numerators i.e. for 586,8564 is 2

LCM of denominators i.e. for 514,712 is 182984.

Thus, GCF of Fractions is 2/182984.Finally, GCF of Fractions for 586/514, 8564/712 is 2/182984.