Greatest Common Factor of 83/58, 76/59, 334/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/58, 76/59, 334/309

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 83/58,76/59,334/309

Given fractions are 83/58,76/59,334/309

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 83,76,334

Greatest Common Factor of Numerators i.e. GCF of 83,76,334 is 1 .

LCM of Denominators means LCM of 58,59,309 as per the given fractions.

LCM of 58,59,309 is 1057398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,76,334

GCF of Fractions 83/58,76/59,334/309 is 1/1057398

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

Greatest Common Factor of 83,76,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,76,334 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 83,76,334 . The biggest common factor number is the GCF number.
So the greatest common factor 83,76,334 is 1.

Lets's calculate LCM of 58,59,309

Given numbers has no common factors except 1. So, there LCM is their product i.e 1057398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1057398

Therefore, the GCF of Fractions 83/58,76/59,334/309 is 1/1057398

Least Common Multiple of 58,59,309 with GCF Formula

Least Common Multiple of 58,59,309 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 58,59,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,59,309) = 1

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

GCF(58,59,309) x common factors =1 x 1 = 1

LCM(58,59,309) = ( 58 × 59 × 309 ) / 1

LCM(58,59,309) = 1057398 / 1

LCM(58,59,309) = 1057398


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 83/58, 76/59, 334/309

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 83/58, 76/59, 334/309?

Answer: GCF of Numerators as per given numbers 83/58, 76/59, 334/309 is

GCF of Numerators i.e. for 83,76,334 is 1

LCM of denominators i.e. for 58,59,309 is 1057398.

Thus, GCF of Fractions is 1/1057398.Finally, GCF of Fractions for 83/58, 76/59, 334/309 is 1/1057398.