Greatest Common Factor of 1135/393, 3783/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1135/393, 3783/228

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 1135/393,3783/228

Given fractions are 1135/393,3783/228

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 1135,3783

Greatest Common Factor of Numerators i.e. GCF of 1135,3783 is 1 .

LCM of Denominators means LCM of 393,228 as per the given fractions.

LCM of 393,228 is 29868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1135,3783

GCF of Fractions 1135/393,3783/228 is 1/29868

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

Greatest Common Factor of 1135,3783 By Matching Biggest Common Factor Method

Greatest Common Factor of 1135,3783 By Matching Biggest Common Factor Method

Factors of 1135

List of positive integer factors of 1135 that divides 1135 without a remainder.

1,5,227,1135

Factors of 3783

List of positive integer factors of 3783 that divides 3783 without a remainder.

1,3,13,39,97,291,1261,3783

Greatest Common Factor

We found the factors 1135,3783 . The biggest common factor number is the GCF number.
So the greatest common factor 1135,3783 is 1.

Lets's calculate LCM of 393,228

3 393, 228
131, 76

∴ So the LCM of the given numbers is 3 x 131 x 76 = 29868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29868

Therefore, the GCF of Fractions 1135/393,3783/228 is 1/29868

Least Common Multiple of 393,228 with GCF Formula

Least Common Multiple of 393,228 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 393,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,228) = 3

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

GCF(393,228) x common factors =3 x 1 = 3

LCM(393,228) = ( 393 × 228 ) / 3

LCM(393,228) = 89604 / 3

LCM(393,228) = 29868


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 1135/393, 3783/228

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 1135/393, 3783/228?

Answer: GCF of Numerators as per given numbers 1135/393, 3783/228 is

GCF of Numerators i.e. for 1135,3783 is 1

LCM of denominators i.e. for 393,228 is 29868.

Thus, GCF of Fractions is 1/29868.Finally, GCF of Fractions for 1135/393, 3783/228 is 1/29868.