Greatest Common Factor of 7221/54, 1466/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7221/54, 1466/939

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 7221/54,1466/939

Given fractions are 7221/54,1466/939

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 7221,1466

Greatest Common Factor of Numerators i.e. GCF of 7221,1466 is 1 .

LCM of Denominators means LCM of 54,939 as per the given fractions.

LCM of 54,939 is 16902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7221,1466

GCF of Fractions 7221/54,1466/939 is 1/16902

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

Greatest Common Factor of 7221,1466 By Matching Biggest Common Factor Method

Greatest Common Factor of 7221,1466 By Matching Biggest Common Factor Method

Factors of 7221

List of positive integer factors of 7221 that divides 7221 without a remainder.

1,3,29,83,87,249,2407,7221

Factors of 1466

List of positive integer factors of 1466 that divides 1466 without a remainder.

1,2,733,1466

Greatest Common Factor

We found the factors 7221,1466 . The biggest common factor number is the GCF number.
So the greatest common factor 7221,1466 is 1.

Lets's calculate LCM of 54,939

3 54, 939
18, 313

∴ So the LCM of the given numbers is 3 x 18 x 313 = 16902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16902

Therefore, the GCF of Fractions 7221/54,1466/939 is 1/16902

Least Common Multiple of 54,939 with GCF Formula

Least Common Multiple of 54,939 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 54,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,939) = 3

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

GCF(54,939) x common factors =3 x 1 = 3

LCM(54,939) = ( 54 × 939 ) / 3

LCM(54,939) = 50706 / 3

LCM(54,939) = 16902


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 7221/54, 1466/939

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 7221/54, 1466/939?

Answer: GCF of Numerators as per given numbers 7221/54, 1466/939 is

GCF of Numerators i.e. for 7221,1466 is 1

LCM of denominators i.e. for 54,939 is 16902.

Thus, GCF of Fractions is 1/16902.Finally, GCF of Fractions for 7221/54, 1466/939 is 1/16902.