Greatest Common Factor of 6093/978, 6363/6715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6093/978, 6363/6715

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 6093/978,6363/6715

Given fractions are 6093/978,6363/6715

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 6093,6363

Greatest Common Factor of Numerators i.e. GCF of 6093,6363 is 9 .

LCM of Denominators means LCM of 978,6715 as per the given fractions.

LCM of 978,6715 is 6567270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6093,6363

GCF of Fractions 6093/978,6363/6715 is 9/6567270

3 6093, 6363
3 2031, 2121
677, 707

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

Greatest Common Factor of 6093,6363 By Matching Biggest Common Factor Method

Greatest Common Factor of 6093,6363 By Matching Biggest Common Factor Method

Factors of 6093

List of positive integer factors of 6093 that divides 6093 without a remainder.

1,3,9,677,2031,6093

Factors of 6363

List of positive integer factors of 6363 that divides 6363 without a remainder.

1,3,7,9,21,63,101,303,707,909,2121,6363

Greatest Common Factor

We found the factors 6093,6363 . The biggest common factor number is the GCF number.
So the greatest common factor 6093,6363 is 9.

Lets's calculate LCM of 978,6715

Given numbers has no common factors except 1. So, there LCM is their product i.e 6567270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6567270

Therefore, the GCF of Fractions 6093/978,6363/6715 is 9/6567270

Least Common Multiple of 978,6715 with GCF Formula

Least Common Multiple of 978,6715 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 978,6715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,6715) = 1

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

GCF(978,6715) x common factors =1 x 1 = 1

LCM(978,6715) = ( 978 × 6715 ) / 1

LCM(978,6715) = 6567270 / 1

LCM(978,6715) = 6567270


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 6093/978, 6363/6715

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 6093/978, 6363/6715?

Answer: GCF of Numerators as per given numbers 6093/978, 6363/6715 is

GCF of Numerators i.e. for 6093,6363 is 9

LCM of denominators i.e. for 978,6715 is 6567270.

Thus, GCF of Fractions is 9/6567270.Finally, GCF of Fractions for 6093/978, 6363/6715 is 9/6567270.