Greatest Common Factor of 9568/958, 5384/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9568/958, 5384/304

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 9568/958,5384/304

Given fractions are 9568/958,5384/304

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 9568,5384

Greatest Common Factor of Numerators i.e. GCF of 9568,5384 is 8 .

LCM of Denominators means LCM of 958,304 as per the given fractions.

LCM of 958,304 is 145616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9568,5384

GCF of Fractions 9568/958,5384/304 is 8/145616

2 9568, 5384
2 4784, 2692
2 2392, 1346
1196, 673

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9568,5384 By Matching Biggest Common Factor Method

Greatest Common Factor of 9568,5384 By Matching Biggest Common Factor Method

Factors of 9568

List of positive integer factors of 9568 that divides 9568 without a remainder.

1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568

Factors of 5384

List of positive integer factors of 5384 that divides 5384 without a remainder.

1,2,4,8,673,1346,2692,5384

Greatest Common Factor

We found the factors 9568,5384 . The biggest common factor number is the GCF number.
So the greatest common factor 9568,5384 is 8.

Lets's calculate LCM of 958,304

2 958, 304
479, 152

∴ So the LCM of the given numbers is 2 x 479 x 152 = 145616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/145616

Therefore, the GCF of Fractions 9568/958,5384/304 is 8/145616

Least Common Multiple of 958,304 with GCF Formula

Least Common Multiple of 958,304 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 958,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,304) = 2

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

GCF(958,304) x common factors =2 x 1 = 2

LCM(958,304) = ( 958 × 304 ) / 2

LCM(958,304) = 291232 / 2

LCM(958,304) = 145616


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 9568/958, 5384/304

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 9568/958, 5384/304?

Answer: GCF of Numerators as per given numbers 9568/958, 5384/304 is

GCF of Numerators i.e. for 9568,5384 is 8

LCM of denominators i.e. for 958,304 is 145616.

Thus, GCF of Fractions is 8/145616.Finally, GCF of Fractions for 9568/958, 5384/304 is 8/145616.