Greatest Common Factor of 308/441, 1353/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 308/441, 1353/816

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 308/441,1353/816

Given fractions are 308/441,1353/816

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 308,1353

Greatest Common Factor of Numerators i.e. GCF of 308,1353 is 11 .

LCM of Denominators means LCM of 441,816 as per the given fractions.

LCM of 441,816 is 119952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 308,1353

GCF of Fractions 308/441,1353/816 is 11/119952

11 308, 1353
28, 123

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 308,1353 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,1353 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 1353

List of positive integer factors of 1353 that divides 1353 without a remainder.

1,3,11,33,41,123,451,1353

Greatest Common Factor

We found the factors 308,1353 . The biggest common factor number is the GCF number.
So the greatest common factor 308,1353 is 11.

Lets's calculate LCM of 441,816

3 441, 816
147, 272

∴ So the LCM of the given numbers is 3 x 147 x 272 = 119952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/119952

Therefore, the GCF of Fractions 308/441,1353/816 is 11/119952

Least Common Multiple of 441,816 with GCF Formula

Least Common Multiple of 441,816 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 441,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,816) = 3

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

GCF(441,816) x common factors =3 x 1 = 3

LCM(441,816) = ( 441 × 816 ) / 3

LCM(441,816) = 359856 / 3

LCM(441,816) = 119952


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 308/441, 1353/816

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 308/441, 1353/816?

Answer: GCF of Numerators as per given numbers 308/441, 1353/816 is

GCF of Numerators i.e. for 308,1353 is 11

LCM of denominators i.e. for 441,816 is 119952.

Thus, GCF of Fractions is 11/119952.Finally, GCF of Fractions for 308/441, 1353/816 is 11/119952.