Greatest Common Factor of 2198/208, 7243/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2198/208, 7243/793

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 2198/208,7243/793

Given fractions are 2198/208,7243/793

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 2198,7243

Greatest Common Factor of Numerators i.e. GCF of 2198,7243 is 1 .

LCM of Denominators means LCM of 208,793 as per the given fractions.

LCM of 208,793 is 12688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2198,7243

GCF of Fractions 2198/208,7243/793 is 1/12688

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

Greatest Common Factor of 2198,7243 By Matching Biggest Common Factor Method

Greatest Common Factor of 2198,7243 By Matching Biggest Common Factor Method

Factors of 2198

List of positive integer factors of 2198 that divides 2198 without a remainder.

1,2,7,14,157,314,1099,2198

Factors of 7243

List of positive integer factors of 7243 that divides 7243 without a remainder.

1,7243

Greatest Common Factor

We found the factors 2198,7243 . The biggest common factor number is the GCF number.
So the greatest common factor 2198,7243 is 1.

Lets's calculate LCM of 208,793

13 208, 793
16, 61

∴ So the LCM of the given numbers is 13 x 16 x 61 = 12688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12688

Therefore, the GCF of Fractions 2198/208,7243/793 is 1/12688

Least Common Multiple of 208,793 with GCF Formula

Least Common Multiple of 208,793 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 208,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,793) = 13

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

GCF(208,793) x common factors =13 x 1 = 13

LCM(208,793) = ( 208 × 793 ) / 13

LCM(208,793) = 164944 / 13

LCM(208,793) = 12688


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 2198/208, 7243/793

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 2198/208, 7243/793?

Answer: GCF of Numerators as per given numbers 2198/208, 7243/793 is

GCF of Numerators i.e. for 2198,7243 is 1

LCM of denominators i.e. for 208,793 is 12688.

Thus, GCF of Fractions is 1/12688.Finally, GCF of Fractions for 2198/208, 7243/793 is 1/12688.