Greatest Common Factor of 9584/412, 5472/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9584/412, 5472/108

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 9584/412,5472/108

Given fractions are 9584/412,5472/108

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 9584,5472

Greatest Common Factor of Numerators i.e. GCF of 9584,5472 is 16 .

LCM of Denominators means LCM of 412,108 as per the given fractions.

LCM of 412,108 is 11124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9584,5472

GCF of Fractions 9584/412,5472/108 is 16/11124

2 9584, 5472
2 4792, 2736
2 2396, 1368
2 1198, 684
599, 342

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 9584,5472 By Matching Biggest Common Factor Method

Greatest Common Factor of 9584,5472 By Matching Biggest Common Factor Method

Factors of 9584

List of positive integer factors of 9584 that divides 9584 without a remainder.

1,2,4,8,16,599,1198,2396,4792,9584

Factors of 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472

Greatest Common Factor

We found the factors 9584,5472 . The biggest common factor number is the GCF number.
So the greatest common factor 9584,5472 is 16.

Lets's calculate LCM of 412,108

2 412, 108
2 206, 54
103, 27

∴ So the LCM of the given numbers is 2 x 2 x 103 x 27 = 11124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/11124

Therefore, the GCF of Fractions 9584/412,5472/108 is 16/11124

Least Common Multiple of 412,108 with GCF Formula

Least Common Multiple of 412,108 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 412,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,108) = 4

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

GCF(412,108) x common factors =4 x 1 = 4

LCM(412,108) = ( 412 × 108 ) / 4

LCM(412,108) = 44496 / 4

LCM(412,108) = 11124


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 9584/412, 5472/108

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 9584/412, 5472/108?

Answer: GCF of Numerators as per given numbers 9584/412, 5472/108 is

GCF of Numerators i.e. for 9584,5472 is 16

LCM of denominators i.e. for 412,108 is 11124.

Thus, GCF of Fractions is 16/11124.Finally, GCF of Fractions for 9584/412, 5472/108 is 16/11124.