Greatest Common Factor of 7227/72, 1818/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7227/72, 1818/878

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 7227/72,1818/878

Given fractions are 7227/72,1818/878

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 7227,1818

Greatest Common Factor of Numerators i.e. GCF of 7227,1818 is 9 .

LCM of Denominators means LCM of 72,878 as per the given fractions.

LCM of 72,878 is 31608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7227,1818

GCF of Fractions 7227/72,1818/878 is 9/31608

3 7227, 1818
3 2409, 606
803, 202

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7227,1818 By Matching Biggest Common Factor Method

Greatest Common Factor of 7227,1818 By Matching Biggest Common Factor Method

Factors of 7227

List of positive integer factors of 7227 that divides 7227 without a remainder.

1,3,9,11,33,73,99,219,657,803,2409,7227

Factors of 1818

List of positive integer factors of 1818 that divides 1818 without a remainder.

1,2,3,6,9,18,101,202,303,606,909,1818

Greatest Common Factor

We found the factors 7227,1818 . The biggest common factor number is the GCF number.
So the greatest common factor 7227,1818 is 9.

Lets's calculate LCM of 72,878

2 72, 878
36, 439

∴ So the LCM of the given numbers is 2 x 36 x 439 = 31608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/31608

Therefore, the GCF of Fractions 7227/72,1818/878 is 9/31608

Least Common Multiple of 72,878 with GCF Formula

Least Common Multiple of 72,878 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 72,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,878) = 2

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

GCF(72,878) x common factors =2 x 1 = 2

LCM(72,878) = ( 72 × 878 ) / 2

LCM(72,878) = 63216 / 2

LCM(72,878) = 31608


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 7227/72, 1818/878

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 7227/72, 1818/878?

Answer: GCF of Numerators as per given numbers 7227/72, 1818/878 is

GCF of Numerators i.e. for 7227,1818 is 9

LCM of denominators i.e. for 72,878 is 31608.

Thus, GCF of Fractions is 9/31608.Finally, GCF of Fractions for 7227/72, 1818/878 is 9/31608.