Greatest Common Factor of 303/36, 3238/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 303/36, 3238/954

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 303/36,3238/954

Given fractions are 303/36,3238/954

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 303,3238

Greatest Common Factor of Numerators i.e. GCF of 303,3238 is 1 .

LCM of Denominators means LCM of 36,954 as per the given fractions.

LCM of 36,954 is 1908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 303,3238

GCF of Fractions 303/36,3238/954 is 1/1908

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 303,3238 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,3238 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 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1,2,1619,3238

Greatest Common Factor

We found the factors 303,3238 . The biggest common factor number is the GCF number.
So the greatest common factor 303,3238 is 1.

Lets's calculate LCM of 36,954

2 36, 954
3 18, 477
3 6, 159
2, 53

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 53 = 1908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1908

Therefore, the GCF of Fractions 303/36,3238/954 is 1/1908

Least Common Multiple of 36,954 with GCF Formula

Least Common Multiple of 36,954 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 36,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,954) = 18

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

GCF(36,954) x common factors =18 x 1 = 18

LCM(36,954) = ( 36 × 954 ) / 18

LCM(36,954) = 34344 / 18

LCM(36,954) = 1908


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 303/36, 3238/954

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 303/36, 3238/954?

Answer: GCF of Numerators as per given numbers 303/36, 3238/954 is

GCF of Numerators i.e. for 303,3238 is 1

LCM of denominators i.e. for 36,954 is 1908.

Thus, GCF of Fractions is 1/1908.Finally, GCF of Fractions for 303/36, 3238/954 is 1/1908.