Greatest Common Factor of 6/89, 68/47, 82/233, 398/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/89, 68/47, 82/233, 398/568

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 6/89,68/47,82/233,398/568

Given fractions are 6/89,68/47,82/233,398/568

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 6,68,82,398

Greatest Common Factor of Numerators i.e. GCF of 6,68,82,398 is 2 .

LCM of Denominators means LCM of 89,47,233,568 as per the given fractions.

LCM of 89,47,233,568 is 553594952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,68,82,398

GCF of Fractions 6/89,68/47,82/233,398/568 is 2/553594952

2 6, 68, 82, 398
3, 34, 41, 199

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6,68,82,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,68,82,398 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 6,68,82,398 . The biggest common factor number is the GCF number.
So the greatest common factor 6,68,82,398 is 2.

Lets's calculate LCM of 89,47,233,568

Given numbers has no common factors except 1. So, there LCM is their product i.e 553594952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/553594952

Therefore, the GCF of Fractions 6/89,68/47,82/233,398/568 is 2/553594952

Least Common Multiple of 89,47,233,568 with GCF Formula

Least Common Multiple of 89,47,233,568 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 89,47,233,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,47,233,568) = 1

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

GCF(89,47,233,568) x common factors =1 x 1 = 1

LCM(89,47,233,568) = ( 89 × 47 × 233 × 568 ) / 1

LCM(89,47,233,568) = 553594952 / 1

LCM(89,47,233,568) = 553594952


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 6/89, 68/47, 82/233, 398/568

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 6/89, 68/47, 82/233, 398/568?

Answer: GCF of Numerators as per given numbers 6/89, 68/47, 82/233, 398/568 is

GCF of Numerators i.e. for 6,68,82,398 is 2

LCM of denominators i.e. for 89,47,233,568 is 553594952.

Thus, GCF of Fractions is 2/553594952.Finally, GCF of Fractions for 6/89, 68/47, 82/233, 398/568 is 2/553594952.