Greatest Common Factor of 8073/55, 5980/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8073/55, 5980/198

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 8073/55,5980/198

Given fractions are 8073/55,5980/198

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 8073,5980

Greatest Common Factor of Numerators i.e. GCF of 8073,5980 is 299 .

LCM of Denominators means LCM of 55,198 as per the given fractions.

LCM of 55,198 is 990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8073,5980

GCF of Fractions 8073/55,5980/198 is 299/990

13 8073, 5980
23 621, 460
27, 20

∴ So the GCF of the given numbers is 13 x 23 = 299

Greatest Common Factor of 8073,5980 By Matching Biggest Common Factor Method

Greatest Common Factor of 8073,5980 By Matching Biggest Common Factor Method

Factors of 8073

List of positive integer factors of 8073 that divides 8073 without a remainder.

1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980

Greatest Common Factor

We found the factors 8073,5980 . The biggest common factor number is the GCF number.
So the greatest common factor 8073,5980 is 299.

Lets's calculate LCM of 55,198

11 55, 198
5, 18

∴ So the LCM of the given numbers is 11 x 5 x 18 = 990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 299/990

Therefore, the GCF of Fractions 8073/55,5980/198 is 299/990

Least Common Multiple of 55,198 with GCF Formula

Least Common Multiple of 55,198 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 55,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,198) = 11

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

GCF(55,198) x common factors =11 x 1 = 11

LCM(55,198) = ( 55 × 198 ) / 11

LCM(55,198) = 10890 / 11

LCM(55,198) = 990


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 8073/55, 5980/198

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 8073/55, 5980/198?

Answer: GCF of Numerators as per given numbers 8073/55, 5980/198 is

GCF of Numerators i.e. for 8073,5980 is 299

LCM of denominators i.e. for 55,198 is 990.

Thus, GCF of Fractions is 299/990.Finally, GCF of Fractions for 8073/55, 5980/198 is 299/990.