Greatest Common Factor of 330/92, 410/86, 243/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/92, 410/86, 243/334

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 330/92,410/86,243/334

Given fractions are 330/92,410/86,243/334

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 330,410,243

Greatest Common Factor of Numerators i.e. GCF of 330,410,243 is 1 .

LCM of Denominators means LCM of 92,86,334 as per the given fractions.

LCM of 92,86,334 is 660652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,410,243

GCF of Fractions 330/92,410/86,243/334 is 1/660652

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

Greatest Common Factor of 330,410,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,410,243 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 330,410,243 . The biggest common factor number is the GCF number.
So the greatest common factor 330,410,243 is 1.

Lets's calculate LCM of 92,86,334

2 92, 86, 334
46, 43, 167

∴ So the LCM of the given numbers is 2 x 46 x 43 x 167 = 660652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660652

Therefore, the GCF of Fractions 330/92,410/86,243/334 is 1/660652

Least Common Multiple of 92,86,334 with GCF Formula

Least Common Multiple of 92,86,334 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 92,86,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,86,334) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(92,86,334) x common factors =2 x 2 = 4

LCM(92,86,334) = ( 92 × 86 × 334 ) / 4

LCM(92,86,334) = 2642608 / 4

LCM(92,86,334) = 660652


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 330/92, 410/86, 243/334

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 330/92, 410/86, 243/334?

Answer: GCF of Numerators as per given numbers 330/92, 410/86, 243/334 is

GCF of Numerators i.e. for 330,410,243 is 1

LCM of denominators i.e. for 92,86,334 is 660652.

Thus, GCF of Fractions is 1/660652.Finally, GCF of Fractions for 330/92, 410/86, 243/334 is 1/660652.