Greatest Common Factor of 48/39, 82/34, 40/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/39, 82/34, 40/866

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 48/39,82/34,40/866

Given fractions are 48/39,82/34,40/866

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 48,82,40

Greatest Common Factor of Numerators i.e. GCF of 48,82,40 is 2 .

LCM of Denominators means LCM of 39,34,866 as per the given fractions.

LCM of 39,34,866 is 574158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,82,40

GCF of Fractions 48/39,82/34,40/866 is 2/574158

2 48, 82, 40
24, 41, 20

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 48,82,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,82,40 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 48,82,40 . The biggest common factor number is the GCF number.
So the greatest common factor 48,82,40 is 2.

Lets's calculate LCM of 39,34,866

2 39, 34, 866
39, 17, 433

∴ So the LCM of the given numbers is 2 x 39 x 17 x 433 = 574158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/574158

Therefore, the GCF of Fractions 48/39,82/34,40/866 is 2/574158

Least Common Multiple of 39,34,866 with GCF Formula

Least Common Multiple of 39,34,866 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 39,34,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,34,866) = 1

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

GCF(39,34,866) x common factors =1 x 2 = 2

LCM(39,34,866) = ( 39 × 34 × 866 ) / 2

LCM(39,34,866) = 1148316 / 2

LCM(39,34,866) = 574158


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 48/39, 82/34, 40/866

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 48/39, 82/34, 40/866?

Answer: GCF of Numerators as per given numbers 48/39, 82/34, 40/866 is

GCF of Numerators i.e. for 48,82,40 is 2

LCM of denominators i.e. for 39,34,866 is 574158.

Thus, GCF of Fractions is 2/574158.Finally, GCF of Fractions for 48/39, 82/34, 40/866 is 2/574158.