Greatest Common Factor of 8319/243, 1971/6573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8319/243, 1971/6573

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 8319/243,1971/6573

Given fractions are 8319/243,1971/6573

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 8319,1971

Greatest Common Factor of Numerators i.e. GCF of 8319,1971 is 3 .

LCM of Denominators means LCM of 243,6573 as per the given fractions.

LCM of 243,6573 is 532413 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8319,1971

GCF of Fractions 8319/243,1971/6573 is 3/532413

3 8319, 1971
2773, 657

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8319,1971 By Matching Biggest Common Factor Method

Greatest Common Factor of 8319,1971 By Matching Biggest Common Factor Method

Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1,3,47,59,141,177,2773,8319

Factors of 1971

List of positive integer factors of 1971 that divides 1971 without a remainder.

1,3,9,27,73,219,657,1971

Greatest Common Factor

We found the factors 8319,1971 . The biggest common factor number is the GCF number.
So the greatest common factor 8319,1971 is 3.

Lets's calculate LCM of 243,6573

3 243, 6573
81, 2191

∴ So the LCM of the given numbers is 3 x 81 x 2191 = 532413

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/532413

Therefore, the GCF of Fractions 8319/243,1971/6573 is 3/532413

Least Common Multiple of 243,6573 with GCF Formula

Least Common Multiple of 243,6573 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 243,6573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,6573) = 3

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

GCF(243,6573) x common factors =3 x 1 = 3

LCM(243,6573) = ( 243 × 6573 ) / 3

LCM(243,6573) = 1597239 / 3

LCM(243,6573) = 532413


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 8319/243, 1971/6573

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 8319/243, 1971/6573?

Answer: GCF of Numerators as per given numbers 8319/243, 1971/6573 is

GCF of Numerators i.e. for 8319,1971 is 3

LCM of denominators i.e. for 243,6573 is 532413.

Thus, GCF of Fractions is 3/532413.Finally, GCF of Fractions for 8319/243, 1971/6573 is 3/532413.