Greatest Common Factor of 8229/273, 3720/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8229/273, 3720/711

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 8229/273,3720/711

Given fractions are 8229/273,3720/711

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 8229,3720

Greatest Common Factor of Numerators i.e. GCF of 8229,3720 is 3 .

LCM of Denominators means LCM of 273,711 as per the given fractions.

LCM of 273,711 is 64701 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8229,3720

GCF of Fractions 8229/273,3720/711 is 3/64701

3 8229, 3720
2743, 1240

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

Greatest Common Factor of 8229,3720 By Matching Biggest Common Factor Method

Greatest Common Factor of 8229,3720 By Matching Biggest Common Factor Method

Factors of 8229

List of positive integer factors of 8229 that divides 8229 without a remainder.

1,3,13,39,211,633,2743,8229

Factors of 3720

List of positive integer factors of 3720 that divides 3720 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720

Greatest Common Factor

We found the factors 8229,3720 . The biggest common factor number is the GCF number.
So the greatest common factor 8229,3720 is 3.

Lets's calculate LCM of 273,711

3 273, 711
91, 237

∴ So the LCM of the given numbers is 3 x 91 x 237 = 64701

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64701

Therefore, the GCF of Fractions 8229/273,3720/711 is 3/64701

Least Common Multiple of 273,711 with GCF Formula

Least Common Multiple of 273,711 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 273,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,711) = 3

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

GCF(273,711) x common factors =3 x 1 = 3

LCM(273,711) = ( 273 × 711 ) / 3

LCM(273,711) = 194103 / 3

LCM(273,711) = 64701


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 8229/273, 3720/711

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 8229/273, 3720/711?

Answer: GCF of Numerators as per given numbers 8229/273, 3720/711 is

GCF of Numerators i.e. for 8229,3720 is 3

LCM of denominators i.e. for 273,711 is 64701.

Thus, GCF of Fractions is 3/64701.Finally, GCF of Fractions for 8229/273, 3720/711 is 3/64701.