Greatest Common Factor of 303/508, 384/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 303/508, 384/228

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 303/508,384/228

Given fractions are 303/508,384/228

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 303,384

Greatest Common Factor of Numerators i.e. GCF of 303,384 is 3 .

LCM of Denominators means LCM of 508,228 as per the given fractions.

LCM of 508,228 is 28956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 303,384

GCF of Fractions 303/508,384/228 is 3/28956

3 303, 384
101, 128

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 303,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,384 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 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 303,384 . The biggest common factor number is the GCF number.
So the greatest common factor 303,384 is 3.

Lets's calculate LCM of 508,228

2 508, 228
2 254, 114
127, 57

∴ So the LCM of the given numbers is 2 x 2 x 127 x 57 = 28956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28956

Therefore, the GCF of Fractions 303/508,384/228 is 3/28956

Least Common Multiple of 508,228 with GCF Formula

Least Common Multiple of 508,228 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 508,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,228) = 4

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

GCF(508,228) x common factors =4 x 1 = 4

LCM(508,228) = ( 508 × 228 ) / 4

LCM(508,228) = 115824 / 4

LCM(508,228) = 28956


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 303/508, 384/228

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 303/508, 384/228?

Answer: GCF of Numerators as per given numbers 303/508, 384/228 is

GCF of Numerators i.e. for 303,384 is 3

LCM of denominators i.e. for 508,228 is 28956.

Thus, GCF of Fractions is 3/28956.Finally, GCF of Fractions for 303/508, 384/228 is 3/28956.