Greatest Common Factor of 6388/27, 2741/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6388/27, 2741/458

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 6388/27,2741/458

Given fractions are 6388/27,2741/458

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 6388,2741

Greatest Common Factor of Numerators i.e. GCF of 6388,2741 is 1 .

LCM of Denominators means LCM of 27,458 as per the given fractions.

LCM of 27,458 is 12366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6388,2741

GCF of Fractions 6388/27,2741/458 is 1/12366

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

Greatest Common Factor of 6388,2741 By Matching Biggest Common Factor Method

Greatest Common Factor of 6388,2741 By Matching Biggest Common Factor Method

Factors of 6388

List of positive integer factors of 6388 that divides 6388 without a remainder.

1,2,4,1597,3194,6388

Factors of 2741

List of positive integer factors of 2741 that divides 2741 without a remainder.

1,2741

Greatest Common Factor

We found the factors 6388,2741 . The biggest common factor number is the GCF number.
So the greatest common factor 6388,2741 is 1.

Lets's calculate LCM of 27,458

Given numbers has no common factors except 1. So, there LCM is their product i.e 12366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12366

Therefore, the GCF of Fractions 6388/27,2741/458 is 1/12366

Least Common Multiple of 27,458 with GCF Formula

Least Common Multiple of 27,458 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 27,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,458) = 1

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

GCF(27,458) x common factors =1 x 1 = 1

LCM(27,458) = ( 27 × 458 ) / 1

LCM(27,458) = 12366 / 1

LCM(27,458) = 12366


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 6388/27, 2741/458

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 6388/27, 2741/458?

Answer: GCF of Numerators as per given numbers 6388/27, 2741/458 is

GCF of Numerators i.e. for 6388,2741 is 1

LCM of denominators i.e. for 27,458 is 12366.

Thus, GCF of Fractions is 1/12366.Finally, GCF of Fractions for 6388/27, 2741/458 is 1/12366.