Greatest Common Factor of 6093/982, 8463/6416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6093/982, 8463/6416

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 6093/982,8463/6416

Given fractions are 6093/982,8463/6416

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 6093,8463

Greatest Common Factor of Numerators i.e. GCF of 6093,8463 is 3 .

LCM of Denominators means LCM of 982,6416 as per the given fractions.

LCM of 982,6416 is 3150256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6093,8463

GCF of Fractions 6093/982,8463/6416 is 3/3150256

3 6093, 8463
2031, 2821

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

Greatest Common Factor of 6093,8463 By Matching Biggest Common Factor Method

Greatest Common Factor of 6093,8463 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 8463

List of positive integer factors of 8463 that divides 8463 without a remainder.

1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463

Greatest Common Factor

We found the factors 6093,8463 . The biggest common factor number is the GCF number.
So the greatest common factor 6093,8463 is 3.

Lets's calculate LCM of 982,6416

2 982, 6416
491, 3208

∴ So the LCM of the given numbers is 2 x 491 x 3208 = 3150256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3150256

Therefore, the GCF of Fractions 6093/982,8463/6416 is 3/3150256

Least Common Multiple of 982,6416 with GCF Formula

Least Common Multiple of 982,6416 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 982,6416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,6416) = 2

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

GCF(982,6416) x common factors =2 x 1 = 2

LCM(982,6416) = ( 982 × 6416 ) / 2

LCM(982,6416) = 6300512 / 2

LCM(982,6416) = 3150256


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 6093/982, 8463/6416

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 6093/982, 8463/6416?

Answer: GCF of Numerators as per given numbers 6093/982, 8463/6416 is

GCF of Numerators i.e. for 6093,8463 is 3

LCM of denominators i.e. for 982,6416 is 3150256.

Thus, GCF of Fractions is 3/3150256.Finally, GCF of Fractions for 6093/982, 8463/6416 is 3/3150256.