Greatest Common Factor of 303/380, 2828/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 303/380, 2828/908

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 303/380,2828/908

Given fractions are 303/380,2828/908

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 303,2828

Greatest Common Factor of Numerators i.e. GCF of 303,2828 is 101 .

LCM of Denominators means LCM of 380,908 as per the given fractions.

LCM of 380,908 is 86260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 303,2828

GCF of Fractions 303/380,2828/908 is 101/86260

101 303, 2828
3, 28

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 303,2828 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,2828 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 2828

List of positive integer factors of 2828 that divides 2828 without a remainder.

1,2,4,7,14,28,101,202,404,707,1414,2828

Greatest Common Factor

We found the factors 303,2828 . The biggest common factor number is the GCF number.
So the greatest common factor 303,2828 is 101.

Lets's calculate LCM of 380,908

2 380, 908
2 190, 454
95, 227

∴ So the LCM of the given numbers is 2 x 2 x 95 x 227 = 86260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/86260

Therefore, the GCF of Fractions 303/380,2828/908 is 101/86260

Least Common Multiple of 380,908 with GCF Formula

Least Common Multiple of 380,908 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 380,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,908) = 4

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

GCF(380,908) x common factors =4 x 1 = 4

LCM(380,908) = ( 380 × 908 ) / 4

LCM(380,908) = 345040 / 4

LCM(380,908) = 86260


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 303/380, 2828/908

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 303/380, 2828/908?

Answer: GCF of Numerators as per given numbers 303/380, 2828/908 is

GCF of Numerators i.e. for 303,2828 is 101

LCM of denominators i.e. for 380,908 is 86260.

Thus, GCF of Fractions is 101/86260.Finally, GCF of Fractions for 303/380, 2828/908 is 101/86260.