Greatest Common Factor of 7063/204, 2099/7188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7063/204, 2099/7188

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 7063/204,2099/7188

Given fractions are 7063/204,2099/7188

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 7063,2099

Greatest Common Factor of Numerators i.e. GCF of 7063,2099 is 1 .

LCM of Denominators means LCM of 204,7188 as per the given fractions.

LCM of 204,7188 is 122196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7063,2099

GCF of Fractions 7063/204,2099/7188 is 1/122196

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

Greatest Common Factor of 7063,2099 By Matching Biggest Common Factor Method

Greatest Common Factor of 7063,2099 By Matching Biggest Common Factor Method

Factors of 7063

List of positive integer factors of 7063 that divides 7063 without a remainder.

1,7,1009,7063

Factors of 2099

List of positive integer factors of 2099 that divides 2099 without a remainder.

1,2099

Greatest Common Factor

We found the factors 7063,2099 . The biggest common factor number is the GCF number.
So the greatest common factor 7063,2099 is 1.

Lets's calculate LCM of 204,7188

2 204, 7188
2 102, 3594
3 51, 1797
17, 599

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 599 = 122196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122196

Therefore, the GCF of Fractions 7063/204,2099/7188 is 1/122196

Least Common Multiple of 204,7188 with GCF Formula

Least Common Multiple of 204,7188 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 204,7188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,7188) = 12

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

GCF(204,7188) x common factors =12 x 1 = 12

LCM(204,7188) = ( 204 × 7188 ) / 12

LCM(204,7188) = 1466352 / 12

LCM(204,7188) = 122196


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 7063/204, 2099/7188

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 7063/204, 2099/7188?

Answer: GCF of Numerators as per given numbers 7063/204, 2099/7188 is

GCF of Numerators i.e. for 7063,2099 is 1

LCM of denominators i.e. for 204,7188 is 122196.

Thus, GCF of Fractions is 1/122196.Finally, GCF of Fractions for 7063/204, 2099/7188 is 1/122196.