Greatest Common Factor of 266/60, 586/1083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/60, 586/1083

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 266/60,586/1083

Given fractions are 266/60,586/1083

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 266,586

Greatest Common Factor of Numerators i.e. GCF of 266,586 is 2 .

LCM of Denominators means LCM of 60,1083 as per the given fractions.

LCM of 60,1083 is 21660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,586

GCF of Fractions 266/60,586/1083 is 2/21660

2 266, 586
133, 293

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

Greatest Common Factor of 266,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,586 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 586

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

1,2,293,586

Greatest Common Factor

We found the factors 266,586 . The biggest common factor number is the GCF number.
So the greatest common factor 266,586 is 2.

Lets's calculate LCM of 60,1083

3 60, 1083
20, 361

∴ So the LCM of the given numbers is 3 x 20 x 361 = 21660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21660

Therefore, the GCF of Fractions 266/60,586/1083 is 2/21660

Least Common Multiple of 60,1083 with GCF Formula

Least Common Multiple of 60,1083 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 60,1083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,1083) = 3

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

GCF(60,1083) x common factors =3 x 1 = 3

LCM(60,1083) = ( 60 × 1083 ) / 3

LCM(60,1083) = 64980 / 3

LCM(60,1083) = 21660


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 266/60, 586/1083

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 266/60, 586/1083?

Answer: GCF of Numerators as per given numbers 266/60, 586/1083 is

GCF of Numerators i.e. for 266,586 is 2

LCM of denominators i.e. for 60,1083 is 21660.

Thus, GCF of Fractions is 2/21660.Finally, GCF of Fractions for 266/60, 586/1083 is 2/21660.