Greatest Common Factor of 2223/348, 4551/4215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2223/348, 4551/4215

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 2223/348,4551/4215

Given fractions are 2223/348,4551/4215

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 2223,4551

Greatest Common Factor of Numerators i.e. GCF of 2223,4551 is 3 .

LCM of Denominators means LCM of 348,4215 as per the given fractions.

LCM of 348,4215 is 488940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2223,4551

GCF of Fractions 2223/348,4551/4215 is 3/488940

3 2223, 4551
741, 1517

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

Greatest Common Factor of 2223,4551 By Matching Biggest Common Factor Method

Greatest Common Factor of 2223,4551 By Matching Biggest Common Factor Method

Factors of 2223

List of positive integer factors of 2223 that divides 2223 without a remainder.

1,3,9,13,19,39,57,117,171,247,741,2223

Factors of 4551

List of positive integer factors of 4551 that divides 4551 without a remainder.

1,3,37,41,111,123,1517,4551

Greatest Common Factor

We found the factors 2223,4551 . The biggest common factor number is the GCF number.
So the greatest common factor 2223,4551 is 3.

Lets's calculate LCM of 348,4215

3 348, 4215
116, 1405

∴ So the LCM of the given numbers is 3 x 116 x 1405 = 488940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/488940

Therefore, the GCF of Fractions 2223/348,4551/4215 is 3/488940

Least Common Multiple of 348,4215 with GCF Formula

Least Common Multiple of 348,4215 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 348,4215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,4215) = 3

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

GCF(348,4215) x common factors =3 x 1 = 3

LCM(348,4215) = ( 348 × 4215 ) / 3

LCM(348,4215) = 1466820 / 3

LCM(348,4215) = 488940


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 2223/348, 4551/4215

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 2223/348, 4551/4215?

Answer: GCF of Numerators as per given numbers 2223/348, 4551/4215 is

GCF of Numerators i.e. for 2223,4551 is 3

LCM of denominators i.e. for 348,4215 is 488940.

Thus, GCF of Fractions is 3/488940.Finally, GCF of Fractions for 2223/348, 4551/4215 is 3/488940.