Greatest Common Factor of 580/422, 6298/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/422, 6298/593

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 580/422,6298/593

Given fractions are 580/422,6298/593

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 580,6298

Greatest Common Factor of Numerators i.e. GCF of 580,6298 is 2 .

LCM of Denominators means LCM of 422,593 as per the given fractions.

LCM of 422,593 is 250246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,6298

GCF of Fractions 580/422,6298/593 is 2/250246

2 580, 6298
290, 3149

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

Greatest Common Factor of 580,6298 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,6298 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 6298

List of positive integer factors of 6298 that divides 6298 without a remainder.

1,2,47,67,94,134,3149,6298

Greatest Common Factor

We found the factors 580,6298 . The biggest common factor number is the GCF number.
So the greatest common factor 580,6298 is 2.

Lets's calculate LCM of 422,593

Given numbers has no common factors except 1. So, there LCM is their product i.e 250246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/250246

Therefore, the GCF of Fractions 580/422,6298/593 is 2/250246

Least Common Multiple of 422,593 with GCF Formula

Least Common Multiple of 422,593 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 422,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,593) = 1

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

GCF(422,593) x common factors =1 x 1 = 1

LCM(422,593) = ( 422 × 593 ) / 1

LCM(422,593) = 250246 / 1

LCM(422,593) = 250246


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 580/422, 6298/593

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 580/422, 6298/593?

Answer: GCF of Numerators as per given numbers 580/422, 6298/593 is

GCF of Numerators i.e. for 580,6298 is 2

LCM of denominators i.e. for 422,593 is 250246.

Thus, GCF of Fractions is 2/250246.Finally, GCF of Fractions for 580/422, 6298/593 is 2/250246.