Greatest Common Factor of 398/18, 286/66, 909/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/18, 286/66, 909/38

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 398/18,286/66,909/38

Given fractions are 398/18,286/66,909/38

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 398,286,909

Greatest Common Factor of Numerators i.e. GCF of 398,286,909 is 1 .

LCM of Denominators means LCM of 18,66,38 as per the given fractions.

LCM of 18,66,38 is 3762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,286,909

GCF of Fractions 398/18,286/66,909/38 is 1/3762

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 398,286,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,286,909 By Matching Biggest Common Factor Method

Factors of 398

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

1,2,199,398

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 398,286,909 . The biggest common factor number is the GCF number.
So the greatest common factor 398,286,909 is 1.

Lets's calculate LCM of 18,66,38

2 18, 66, 38
3 9, 33, 19
3, 11, 19

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 19 = 3762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3762

Therefore, the GCF of Fractions 398/18,286/66,909/38 is 1/3762

Least Common Multiple of 18,66,38 with GCF Formula

Least Common Multiple of 18,66,38 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 18,66,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,66,38) = 2

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

GCF(18,66,38) x common factors =2 x 6 = 12

LCM(18,66,38) = ( 18 × 66 × 38 ) / 12

LCM(18,66,38) = 45144 / 12

LCM(18,66,38) = 3762


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 398/18, 286/66, 909/38

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 398/18, 286/66, 909/38?

Answer: GCF of Numerators as per given numbers 398/18, 286/66, 909/38 is

GCF of Numerators i.e. for 398,286,909 is 1

LCM of denominators i.e. for 18,66,38 is 3762.

Thus, GCF of Fractions is 1/3762.Finally, GCF of Fractions for 398/18, 286/66, 909/38 is 1/3762.