Greatest Common Factor of 330/81, 861/35, 879/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/81, 861/35, 879/848

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 330/81,861/35,879/848

Given fractions are 330/81,861/35,879/848

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 330,861,879

Greatest Common Factor of Numerators i.e. GCF of 330,861,879 is 3 .

LCM of Denominators means LCM of 81,35,848 as per the given fractions.

LCM of 81,35,848 is 2404080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,861,879

GCF of Fractions 330/81,861/35,879/848 is 3/2404080

3 330, 861, 879
110, 287, 293

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

Greatest Common Factor of 330,861,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,861,879 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 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 330,861,879 . The biggest common factor number is the GCF number.
So the greatest common factor 330,861,879 is 3.

Lets's calculate LCM of 81,35,848

Given numbers has no common factors except 1. So, there LCM is their product i.e 2404080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2404080

Therefore, the GCF of Fractions 330/81,861/35,879/848 is 3/2404080

Least Common Multiple of 81,35,848 with GCF Formula

Least Common Multiple of 81,35,848 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 81,35,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,35,848) = 1

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

GCF(81,35,848) x common factors =1 x 1 = 1

LCM(81,35,848) = ( 81 × 35 × 848 ) / 1

LCM(81,35,848) = 2404080 / 1

LCM(81,35,848) = 2404080


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 330/81, 861/35, 879/848

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 330/81, 861/35, 879/848?

Answer: GCF of Numerators as per given numbers 330/81, 861/35, 879/848 is

GCF of Numerators i.e. for 330,861,879 is 3

LCM of denominators i.e. for 81,35,848 is 2404080.

Thus, GCF of Fractions is 3/2404080.Finally, GCF of Fractions for 330/81, 861/35, 879/848 is 3/2404080.