Greatest Common Factor of 195/84, 871/39, 117/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/84, 871/39, 117/399

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 195/84,871/39,117/399

Given fractions are 195/84,871/39,117/399

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 195,871,117

Greatest Common Factor of Numerators i.e. GCF of 195,871,117 is 13 .

LCM of Denominators means LCM of 84,39,399 as per the given fractions.

LCM of 84,39,399 is 20748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,871,117

GCF of Fractions 195/84,871/39,117/399 is 13/20748

13 195, 871, 117
15, 67, 9

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 195,871,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,871,117 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 195,871,117 . The biggest common factor number is the GCF number.
So the greatest common factor 195,871,117 is 13.

Lets's calculate LCM of 84,39,399

3 84, 39, 399
7 28, 13, 133
4, 13, 19

∴ So the LCM of the given numbers is 3 x 7 x 4 x 13 x 19 = 20748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/20748

Therefore, the GCF of Fractions 195/84,871/39,117/399 is 13/20748

Least Common Multiple of 84,39,399 with GCF Formula

Least Common Multiple of 84,39,399 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 84,39,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,39,399) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(84,39,399) x common factors =3 x 21 = 63

LCM(84,39,399) = ( 84 × 39 × 399 ) / 63

LCM(84,39,399) = 1307124 / 63

LCM(84,39,399) = 20748


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 195/84, 871/39, 117/399

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 195/84, 871/39, 117/399?

Answer: GCF of Numerators as per given numbers 195/84, 871/39, 117/399 is

GCF of Numerators i.e. for 195,871,117 is 13

LCM of denominators i.e. for 84,39,399 is 20748.

Thus, GCF of Fractions is 13/20748.Finally, GCF of Fractions for 195/84, 871/39, 117/399 is 13/20748.