Greatest Common Factor of 8982/81, 1884/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8982/81, 1884/435

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 8982/81,1884/435

Given fractions are 8982/81,1884/435

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 8982,1884

Greatest Common Factor of Numerators i.e. GCF of 8982,1884 is 6 .

LCM of Denominators means LCM of 81,435 as per the given fractions.

LCM of 81,435 is 11745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8982,1884

GCF of Fractions 8982/81,1884/435 is 6/11745

2 8982, 1884
3 4491, 942
1497, 314

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8982,1884 By Matching Biggest Common Factor Method

Greatest Common Factor of 8982,1884 By Matching Biggest Common Factor Method

Factors of 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1,2,3,6,9,18,499,998,1497,2994,4491,8982

Factors of 1884

List of positive integer factors of 1884 that divides 1884 without a remainder.

1,2,3,4,6,12,157,314,471,628,942,1884

Greatest Common Factor

We found the factors 8982,1884 . The biggest common factor number is the GCF number.
So the greatest common factor 8982,1884 is 6.

Lets's calculate LCM of 81,435

3 81, 435
27, 145

∴ So the LCM of the given numbers is 3 x 27 x 145 = 11745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/11745

Therefore, the GCF of Fractions 8982/81,1884/435 is 6/11745

Least Common Multiple of 81,435 with GCF Formula

Least Common Multiple of 81,435 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 81,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,435) = 3

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

GCF(81,435) x common factors =3 x 1 = 3

LCM(81,435) = ( 81 × 435 ) / 3

LCM(81,435) = 35235 / 3

LCM(81,435) = 11745


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 8982/81, 1884/435

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 8982/81, 1884/435?

Answer: GCF of Numerators as per given numbers 8982/81, 1884/435 is

GCF of Numerators i.e. for 8982,1884 is 6

LCM of denominators i.e. for 81,435 is 11745.

Thus, GCF of Fractions is 6/11745.Finally, GCF of Fractions for 8982/81, 1884/435 is 6/11745.