Greatest Common Factor of 8933/580, 9809/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8933/580, 9809/564

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 8933/580,9809/564

Given fractions are 8933/580,9809/564

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 8933,9809

Greatest Common Factor of Numerators i.e. GCF of 8933,9809 is 1 .

LCM of Denominators means LCM of 580,564 as per the given fractions.

LCM of 580,564 is 81780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8933,9809

GCF of Fractions 8933/580,9809/564 is 1/81780

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

Greatest Common Factor of 8933,9809 By Matching Biggest Common Factor Method

Greatest Common Factor of 8933,9809 By Matching Biggest Common Factor Method

Factors of 8933

List of positive integer factors of 8933 that divides 8933 without a remainder.

1,8933

Factors of 9809

List of positive integer factors of 9809 that divides 9809 without a remainder.

1,17,577,9809

Greatest Common Factor

We found the factors 8933,9809 . The biggest common factor number is the GCF number.
So the greatest common factor 8933,9809 is 1.

Lets's calculate LCM of 580,564

2 580, 564
2 290, 282
145, 141

∴ So the LCM of the given numbers is 2 x 2 x 145 x 141 = 81780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81780

Therefore, the GCF of Fractions 8933/580,9809/564 is 1/81780

Least Common Multiple of 580,564 with GCF Formula

Least Common Multiple of 580,564 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 580,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,564) = 4

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

GCF(580,564) x common factors =4 x 1 = 4

LCM(580,564) = ( 580 × 564 ) / 4

LCM(580,564) = 327120 / 4

LCM(580,564) = 81780


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 8933/580, 9809/564

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 8933/580, 9809/564?

Answer: GCF of Numerators as per given numbers 8933/580, 9809/564 is

GCF of Numerators i.e. for 8933,9809 is 1

LCM of denominators i.e. for 580,564 is 81780.

Thus, GCF of Fractions is 1/81780.Finally, GCF of Fractions for 8933/580, 9809/564 is 1/81780.