Greatest Common Factor of 2308/69, 6606/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2308/69, 6606/363

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 2308/69,6606/363

Given fractions are 2308/69,6606/363

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 2308,6606

Greatest Common Factor of Numerators i.e. GCF of 2308,6606 is 2 .

LCM of Denominators means LCM of 69,363 as per the given fractions.

LCM of 69,363 is 8349 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2308,6606

GCF of Fractions 2308/69,6606/363 is 2/8349

2 2308, 6606
1154, 3303

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

Greatest Common Factor of 2308,6606 By Matching Biggest Common Factor Method

Greatest Common Factor of 2308,6606 By Matching Biggest Common Factor Method

Factors of 2308

List of positive integer factors of 2308 that divides 2308 without a remainder.

1,2,4,577,1154,2308

Factors of 6606

List of positive integer factors of 6606 that divides 6606 without a remainder.

1,2,3,6,9,18,367,734,1101,2202,3303,6606

Greatest Common Factor

We found the factors 2308,6606 . The biggest common factor number is the GCF number.
So the greatest common factor 2308,6606 is 2.

Lets's calculate LCM of 69,363

3 69, 363
23, 121

∴ So the LCM of the given numbers is 3 x 23 x 121 = 8349

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8349

Therefore, the GCF of Fractions 2308/69,6606/363 is 2/8349

Least Common Multiple of 69,363 with GCF Formula

Least Common Multiple of 69,363 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 69,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,363) = 3

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

GCF(69,363) x common factors =3 x 1 = 3

LCM(69,363) = ( 69 × 363 ) / 3

LCM(69,363) = 25047 / 3

LCM(69,363) = 8349


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 2308/69, 6606/363

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 2308/69, 6606/363?

Answer: GCF of Numerators as per given numbers 2308/69, 6606/363 is

GCF of Numerators i.e. for 2308,6606 is 2

LCM of denominators i.e. for 69,363 is 8349.

Thus, GCF of Fractions is 2/8349.Finally, GCF of Fractions for 2308/69, 6606/363 is 2/8349.