Greatest Common Factor of 6884/27, 9898/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6884/27, 9898/402

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 6884/27,9898/402

Given fractions are 6884/27,9898/402

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 6884,9898

Greatest Common Factor of Numerators i.e. GCF of 6884,9898 is 2 .

LCM of Denominators means LCM of 27,402 as per the given fractions.

LCM of 27,402 is 3618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6884,9898

GCF of Fractions 6884/27,9898/402 is 2/3618

2 6884, 9898
3442, 4949

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

Greatest Common Factor of 6884,9898 By Matching Biggest Common Factor Method

Greatest Common Factor of 6884,9898 By Matching Biggest Common Factor Method

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1,2,4,1721,3442,6884

Factors of 9898

List of positive integer factors of 9898 that divides 9898 without a remainder.

1,2,7,14,49,98,101,202,707,1414,4949,9898

Greatest Common Factor

We found the factors 6884,9898 . The biggest common factor number is the GCF number.
So the greatest common factor 6884,9898 is 2.

Lets's calculate LCM of 27,402

3 27, 402
9, 134

∴ So the LCM of the given numbers is 3 x 9 x 134 = 3618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3618

Therefore, the GCF of Fractions 6884/27,9898/402 is 2/3618

Least Common Multiple of 27,402 with GCF Formula

Least Common Multiple of 27,402 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 27,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,402) = 3

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

GCF(27,402) x common factors =3 x 1 = 3

LCM(27,402) = ( 27 × 402 ) / 3

LCM(27,402) = 10854 / 3

LCM(27,402) = 3618


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 6884/27, 9898/402

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 6884/27, 9898/402?

Answer: GCF of Numerators as per given numbers 6884/27, 9898/402 is

GCF of Numerators i.e. for 6884,9898 is 2

LCM of denominators i.e. for 27,402 is 3618.

Thus, GCF of Fractions is 2/3618.Finally, GCF of Fractions for 6884/27, 9898/402 is 2/3618.