Greatest Common Factor of 998/579, 619/813, 553/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 998/579, 619/813, 553/243

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 998/579,619/813,553/243

Given fractions are 998/579,619/813,553/243

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 998,619,553

Greatest Common Factor of Numerators i.e. GCF of 998,619,553 is 1 .

LCM of Denominators means LCM of 579,813,243 as per the given fractions.

LCM of 579,813,243 is 12709629 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 998,619,553

GCF of Fractions 998/579,619/813,553/243 is 1/12709629

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

Greatest Common Factor of 998,619,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,619,553 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 998,619,553 . The biggest common factor number is the GCF number.
So the greatest common factor 998,619,553 is 1.

Lets's calculate LCM of 579,813,243

3 579, 813, 243
193, 271, 81

∴ So the LCM of the given numbers is 3 x 193 x 271 x 81 = 12709629

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12709629

Therefore, the GCF of Fractions 998/579,619/813,553/243 is 1/12709629

Least Common Multiple of 579,813,243 with GCF Formula

Least Common Multiple of 579,813,243 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 579,813,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,813,243) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(579,813,243) x common factors =3 x 3 = 9

LCM(579,813,243) = ( 579 × 813 × 243 ) / 9

LCM(579,813,243) = 114386661 / 9

LCM(579,813,243) = 12709629


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 998/579, 619/813, 553/243

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 998/579, 619/813, 553/243?

Answer: GCF of Numerators as per given numbers 998/579, 619/813, 553/243 is

GCF of Numerators i.e. for 998,619,553 is 1

LCM of denominators i.e. for 579,813,243 is 12709629.

Thus, GCF of Fractions is 1/12709629.Finally, GCF of Fractions for 998/579, 619/813, 553/243 is 1/12709629.