Greatest Common Factor of 7347/27, 3916/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7347/27, 3916/588

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 7347/27,3916/588

Given fractions are 7347/27,3916/588

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 7347,3916

Greatest Common Factor of Numerators i.e. GCF of 7347,3916 is 1 .

LCM of Denominators means LCM of 27,588 as per the given fractions.

LCM of 27,588 is 5292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7347,3916

GCF of Fractions 7347/27,3916/588 is 1/5292

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

Greatest Common Factor of 7347,3916 By Matching Biggest Common Factor Method

Greatest Common Factor of 7347,3916 By Matching Biggest Common Factor Method

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1,3,31,79,93,237,2449,7347

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 7347,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 7347,3916 is 1.

Lets's calculate LCM of 27,588

3 27, 588
9, 196

∴ So the LCM of the given numbers is 3 x 9 x 196 = 5292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5292

Therefore, the GCF of Fractions 7347/27,3916/588 is 1/5292

Least Common Multiple of 27,588 with GCF Formula

Least Common Multiple of 27,588 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 27,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,588) = 3

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

GCF(27,588) x common factors =3 x 1 = 3

LCM(27,588) = ( 27 × 588 ) / 3

LCM(27,588) = 15876 / 3

LCM(27,588) = 5292


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 7347/27, 3916/588

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 7347/27, 3916/588?

Answer: GCF of Numerators as per given numbers 7347/27, 3916/588 is

GCF of Numerators i.e. for 7347,3916 is 1

LCM of denominators i.e. for 27,588 is 5292.

Thus, GCF of Fractions is 1/5292.Finally, GCF of Fractions for 7347/27, 3916/588 is 1/5292.