Greatest Common Factor of 308/585, 2310/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 308/585, 2310/728

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 308/585,2310/728

Given fractions are 308/585,2310/728

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 308,2310

Greatest Common Factor of Numerators i.e. GCF of 308,2310 is 154 .

LCM of Denominators means LCM of 585,728 as per the given fractions.

LCM of 585,728 is 32760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 308,2310

GCF of Fractions 308/585,2310/728 is 154/32760

2 308, 2310
7 154, 1155
11 22, 165
2, 15

∴ So the GCF of the given numbers is 2 x 7 x 11 = 154

Greatest Common Factor of 308,2310 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,2310 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 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310

Greatest Common Factor

We found the factors 308,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 308,2310 is 154.

Lets's calculate LCM of 585,728

13 585, 728
45, 56

∴ So the LCM of the given numbers is 13 x 45 x 56 = 32760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 154/32760

Therefore, the GCF of Fractions 308/585,2310/728 is 154/32760

Least Common Multiple of 585,728 with GCF Formula

Least Common Multiple of 585,728 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 585,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,728) = 13

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

GCF(585,728) x common factors =13 x 1 = 13

LCM(585,728) = ( 585 × 728 ) / 13

LCM(585,728) = 425880 / 13

LCM(585,728) = 32760


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 308/585, 2310/728

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 308/585, 2310/728?

Answer: GCF of Numerators as per given numbers 308/585, 2310/728 is

GCF of Numerators i.e. for 308,2310 is 154

LCM of denominators i.e. for 585,728 is 32760.

Thus, GCF of Fractions is 154/32760.Finally, GCF of Fractions for 308/585, 2310/728 is 154/32760.