Greatest Common Factor of 84/71, 50/51, 591/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/71, 50/51, 591/579

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 84/71,50/51,591/579

Given fractions are 84/71,50/51,591/579

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 84,50,591

Greatest Common Factor of Numerators i.e. GCF of 84,50,591 is 1 .

LCM of Denominators means LCM of 71,51,579 as per the given fractions.

LCM of 71,51,579 is 698853 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,50,591

GCF of Fractions 84/71,50/51,591/579 is 1/698853

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

Greatest Common Factor of 84,50,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,50,591 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 84,50,591 . The biggest common factor number is the GCF number.
So the greatest common factor 84,50,591 is 1.

Lets's calculate LCM of 71,51,579

3 71, 51, 579
71, 17, 193

∴ So the LCM of the given numbers is 3 x 71 x 17 x 193 = 698853

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698853

Therefore, the GCF of Fractions 84/71,50/51,591/579 is 1/698853

Least Common Multiple of 71,51,579 with GCF Formula

Least Common Multiple of 71,51,579 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 71,51,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,51,579) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(71,51,579) x common factors =1 x 3 = 3

LCM(71,51,579) = ( 71 × 51 × 579 ) / 3

LCM(71,51,579) = 2096559 / 3

LCM(71,51,579) = 698853


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 84/71, 50/51, 591/579

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 84/71, 50/51, 591/579?

Answer: GCF of Numerators as per given numbers 84/71, 50/51, 591/579 is

GCF of Numerators i.e. for 84,50,591 is 1

LCM of denominators i.e. for 71,51,579 is 698853.

Thus, GCF of Fractions is 1/698853.Finally, GCF of Fractions for 84/71, 50/51, 591/579 is 1/698853.