Greatest Common Factor of 9198/990, 3386/8218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9198/990, 3386/8218

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 9198/990,3386/8218

Given fractions are 9198/990,3386/8218

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 9198,3386

Greatest Common Factor of Numerators i.e. GCF of 9198,3386 is 2 .

LCM of Denominators means LCM of 990,8218 as per the given fractions.

LCM of 990,8218 is 4067910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9198,3386

GCF of Fractions 9198/990,3386/8218 is 2/4067910

2 9198, 3386
4599, 1693

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

Greatest Common Factor of 9198,3386 By Matching Biggest Common Factor Method

Greatest Common Factor of 9198,3386 By Matching Biggest Common Factor Method

Factors of 9198

List of positive integer factors of 9198 that divides 9198 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198

Factors of 3386

List of positive integer factors of 3386 that divides 3386 without a remainder.

1,2,1693,3386

Greatest Common Factor

We found the factors 9198,3386 . The biggest common factor number is the GCF number.
So the greatest common factor 9198,3386 is 2.

Lets's calculate LCM of 990,8218

2 990, 8218
495, 4109

∴ So the LCM of the given numbers is 2 x 495 x 4109 = 4067910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4067910

Therefore, the GCF of Fractions 9198/990,3386/8218 is 2/4067910

Least Common Multiple of 990,8218 with GCF Formula

Least Common Multiple of 990,8218 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 990,8218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,8218) = 2

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

GCF(990,8218) x common factors =2 x 1 = 2

LCM(990,8218) = ( 990 × 8218 ) / 2

LCM(990,8218) = 8135820 / 2

LCM(990,8218) = 4067910


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 9198/990, 3386/8218

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 9198/990, 3386/8218?

Answer: GCF of Numerators as per given numbers 9198/990, 3386/8218 is

GCF of Numerators i.e. for 9198,3386 is 2

LCM of denominators i.e. for 990,8218 is 4067910.

Thus, GCF of Fractions is 2/4067910.Finally, GCF of Fractions for 9198/990, 3386/8218 is 2/4067910.