Greatest Common Factor of 36/198, 82/982, 610/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/198, 82/982, 610/879

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 36/198,82/982,610/879

Given fractions are 36/198,82/982,610/879

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 36,82,610

Greatest Common Factor of Numerators i.e. GCF of 36,82,610 is 2 .

LCM of Denominators means LCM of 198,982,879 as per the given fractions.

LCM of 198,982,879 is 28484874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,82,610

GCF of Fractions 36/198,82/982,610/879 is 2/28484874

2 36, 82, 610
18, 41, 305

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

Greatest Common Factor of 36,82,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,82,610 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 82

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

1,2,41,82

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 36,82,610 . The biggest common factor number is the GCF number.
So the greatest common factor 36,82,610 is 2.

Lets's calculate LCM of 198,982,879

2 198, 982, 879
3 99, 491, 879
33, 491, 293

∴ So the LCM of the given numbers is 2 x 3 x 33 x 491 x 293 = 28484874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28484874

Therefore, the GCF of Fractions 36/198,82/982,610/879 is 2/28484874

Least Common Multiple of 198,982,879 with GCF Formula

Least Common Multiple of 198,982,879 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 198,982,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,982,879) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(198,982,879) x common factors =1 x 6 = 6

LCM(198,982,879) = ( 198 × 982 × 879 ) / 6

LCM(198,982,879) = 170909244 / 6

LCM(198,982,879) = 28484874


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 36/198, 82/982, 610/879

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 36/198, 82/982, 610/879?

Answer: GCF of Numerators as per given numbers 36/198, 82/982, 610/879 is

GCF of Numerators i.e. for 36,82,610 is 2

LCM of denominators i.e. for 198,982,879 is 28484874.

Thus, GCF of Fractions is 2/28484874.Finally, GCF of Fractions for 36/198, 82/982, 610/879 is 2/28484874.