Greatest Common Factor of 8384/578, 8959/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8384/578, 8959/708

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 8384/578,8959/708

Given fractions are 8384/578,8959/708

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 8384,8959

Greatest Common Factor of Numerators i.e. GCF of 8384,8959 is 1 .

LCM of Denominators means LCM of 578,708 as per the given fractions.

LCM of 578,708 is 204612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8384,8959

GCF of Fractions 8384/578,8959/708 is 1/204612

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

Greatest Common Factor of 8384,8959 By Matching Biggest Common Factor Method

Greatest Common Factor of 8384,8959 By Matching Biggest Common Factor Method

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Factors of 8959

List of positive integer factors of 8959 that divides 8959 without a remainder.

1,17,31,289,527,8959

Greatest Common Factor

We found the factors 8384,8959 . The biggest common factor number is the GCF number.
So the greatest common factor 8384,8959 is 1.

Lets's calculate LCM of 578,708

2 578, 708
289, 354

∴ So the LCM of the given numbers is 2 x 289 x 354 = 204612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204612

Therefore, the GCF of Fractions 8384/578,8959/708 is 1/204612

Least Common Multiple of 578,708 with GCF Formula

Least Common Multiple of 578,708 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 578,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,708) = 2

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

GCF(578,708) x common factors =2 x 1 = 2

LCM(578,708) = ( 578 × 708 ) / 2

LCM(578,708) = 409224 / 2

LCM(578,708) = 204612


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 8384/578, 8959/708

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 8384/578, 8959/708?

Answer: GCF of Numerators as per given numbers 8384/578, 8959/708 is

GCF of Numerators i.e. for 8384,8959 is 1

LCM of denominators i.e. for 578,708 is 204612.

Thus, GCF of Fractions is 1/204612.Finally, GCF of Fractions for 8384/578, 8959/708 is 1/204612.