Greatest Common Factor of 84/65, 50/43, 309/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/65, 50/43, 309/500

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 84/65,50/43,309/500

Given fractions are 84/65,50/43,309/500

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 84,50,309

Greatest Common Factor of Numerators i.e. GCF of 84,50,309 is 1 .

LCM of Denominators means LCM of 65,43,500 as per the given fractions.

LCM of 65,43,500 is 279500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,50,309

GCF of Fractions 84/65,50/43,309/500 is 1/279500

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

Greatest Common Factor of 84,50,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,50,309 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 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 84,50,309 . The biggest common factor number is the GCF number.
So the greatest common factor 84,50,309 is 1.

Lets's calculate LCM of 65,43,500

5 65, 43, 500
13, 43, 100

∴ So the LCM of the given numbers is 5 x 13 x 43 x 100 = 279500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279500

Therefore, the GCF of Fractions 84/65,50/43,309/500 is 1/279500

Least Common Multiple of 65,43,500 with GCF Formula

Least Common Multiple of 65,43,500 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 65,43,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,43,500) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,43,500) x common factors =1 x 5 = 5

LCM(65,43,500) = ( 65 × 43 × 500 ) / 5

LCM(65,43,500) = 1397500 / 5

LCM(65,43,500) = 279500


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 84/65, 50/43, 309/500

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 84/65, 50/43, 309/500?

Answer: GCF of Numerators as per given numbers 84/65, 50/43, 309/500 is

GCF of Numerators i.e. for 84,50,309 is 1

LCM of denominators i.e. for 65,43,500 is 279500.

Thus, GCF of Fractions is 1/279500.Finally, GCF of Fractions for 84/65, 50/43, 309/500 is 1/279500.