Greatest Common Factor of 132/435, 8343/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/435, 8343/203

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 132/435,8343/203

Given fractions are 132/435,8343/203

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 132,8343

Greatest Common Factor of Numerators i.e. GCF of 132,8343 is 3 .

LCM of Denominators means LCM of 435,203 as per the given fractions.

LCM of 435,203 is 3045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,8343

GCF of Fractions 132/435,8343/203 is 3/3045

3 132, 8343
44, 2781

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

Greatest Common Factor of 132,8343 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,8343 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 8343

List of positive integer factors of 8343 that divides 8343 without a remainder.

1,3,9,27,81,103,309,927,2781,8343

Greatest Common Factor

We found the factors 132,8343 . The biggest common factor number is the GCF number.
So the greatest common factor 132,8343 is 3.

Lets's calculate LCM of 435,203

29 435, 203
15, 7

∴ So the LCM of the given numbers is 29 x 15 x 7 = 3045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3045

Therefore, the GCF of Fractions 132/435,8343/203 is 3/3045

Least Common Multiple of 435,203 with GCF Formula

Least Common Multiple of 435,203 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 435,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,203) = 29

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

GCF(435,203) x common factors =29 x 1 = 29

LCM(435,203) = ( 435 × 203 ) / 29

LCM(435,203) = 88305 / 29

LCM(435,203) = 3045


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 132/435, 8343/203

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 132/435, 8343/203?

Answer: GCF of Numerators as per given numbers 132/435, 8343/203 is

GCF of Numerators i.e. for 132,8343 is 3

LCM of denominators i.e. for 435,203 is 3045.

Thus, GCF of Fractions is 3/3045.Finally, GCF of Fractions for 132/435, 8343/203 is 3/3045.