Greatest Common Factor of 7198/384, 8153/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7198/384, 8153/108

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 7198/384,8153/108

Given fractions are 7198/384,8153/108

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 7198,8153

Greatest Common Factor of Numerators i.e. GCF of 7198,8153 is 1 .

LCM of Denominators means LCM of 384,108 as per the given fractions.

LCM of 384,108 is 3456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7198,8153

GCF of Fractions 7198/384,8153/108 is 1/3456

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

Greatest Common Factor of 7198,8153 By Matching Biggest Common Factor Method

Greatest Common Factor of 7198,8153 By Matching Biggest Common Factor Method

Factors of 7198

List of positive integer factors of 7198 that divides 7198 without a remainder.

1,2,59,61,118,122,3599,7198

Factors of 8153

List of positive integer factors of 8153 that divides 8153 without a remainder.

1,31,263,8153

Greatest Common Factor

We found the factors 7198,8153 . The biggest common factor number is the GCF number.
So the greatest common factor 7198,8153 is 1.

Lets's calculate LCM of 384,108

2 384, 108
2 192, 54
3 96, 27
32, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 32 x 9 = 3456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3456

Therefore, the GCF of Fractions 7198/384,8153/108 is 1/3456

Least Common Multiple of 384,108 with GCF Formula

Least Common Multiple of 384,108 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 384,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,108) = 12

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

GCF(384,108) x common factors =12 x 1 = 12

LCM(384,108) = ( 384 × 108 ) / 12

LCM(384,108) = 41472 / 12

LCM(384,108) = 3456


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 7198/384, 8153/108

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 7198/384, 8153/108?

Answer: GCF of Numerators as per given numbers 7198/384, 8153/108 is

GCF of Numerators i.e. for 7198,8153 is 1

LCM of denominators i.e. for 384,108 is 3456.

Thus, GCF of Fractions is 1/3456.Finally, GCF of Fractions for 7198/384, 8153/108 is 1/3456.