Greatest Common Factor of 586/66, 8413/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 586/66, 8413/580

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 586/66,8413/580

Given fractions are 586/66,8413/580

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 586,8413

Greatest Common Factor of Numerators i.e. GCF of 586,8413 is 1 .

LCM of Denominators means LCM of 66,580 as per the given fractions.

LCM of 66,580 is 19140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 586,8413

GCF of Fractions 586/66,8413/580 is 1/19140

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

Greatest Common Factor of 586,8413 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,8413 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 8413

List of positive integer factors of 8413 that divides 8413 without a remainder.

1,47,179,8413

Greatest Common Factor

We found the factors 586,8413 . The biggest common factor number is the GCF number.
So the greatest common factor 586,8413 is 1.

Lets's calculate LCM of 66,580

2 66, 580
33, 290

∴ So the LCM of the given numbers is 2 x 33 x 290 = 19140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19140

Therefore, the GCF of Fractions 586/66,8413/580 is 1/19140

Least Common Multiple of 66,580 with GCF Formula

Least Common Multiple of 66,580 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 66,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,580) = 2

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

GCF(66,580) x common factors =2 x 1 = 2

LCM(66,580) = ( 66 × 580 ) / 2

LCM(66,580) = 38280 / 2

LCM(66,580) = 19140


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 586/66, 8413/580

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 586/66, 8413/580?

Answer: GCF of Numerators as per given numbers 586/66, 8413/580 is

GCF of Numerators i.e. for 586,8413 is 1

LCM of denominators i.e. for 66,580 is 19140.

Thus, GCF of Fractions is 1/19140.Finally, GCF of Fractions for 586/66, 8413/580 is 1/19140.