Greatest Common Factor of 86/83, 82/57, 29/71, 73/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/83, 82/57, 29/71, 73/258

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 86/83,82/57,29/71,73/258

Given fractions are 86/83,82/57,29/71,73/258

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 86,82,29,73

Greatest Common Factor of Numerators i.e. GCF of 86,82,29,73 is 1 .

LCM of Denominators means LCM of 83,57,71,258 as per the given fractions.

LCM of 83,57,71,258 is 28887486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,82,29,73

GCF of Fractions 86/83,82/57,29/71,73/258 is 1/28887486

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

Greatest Common Factor of 86,82,29,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,82,29,73 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 82

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

1,2,41,82

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 86,82,29,73 . The biggest common factor number is the GCF number.
So the greatest common factor 86,82,29,73 is 1.

Lets's calculate LCM of 83,57,71,258

3 83, 57, 71, 258
83, 19, 71, 86

∴ So the LCM of the given numbers is 3 x 83 x 19 x 71 x 86 = 28887486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28887486

Therefore, the GCF of Fractions 86/83,82/57,29/71,73/258 is 1/28887486

Least Common Multiple of 83,57,71,258 with GCF Formula

Least Common Multiple of 83,57,71,258 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 83,57,71,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,57,71,258) = 1

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

GCF(83,57,71,258) x common factors =1 x 3 = 3

LCM(83,57,71,258) = ( 83 × 57 × 71 × 258 ) / 3

LCM(83,57,71,258) = 86662458 / 3

LCM(83,57,71,258) = 28887486


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 86/83, 82/57, 29/71, 73/258

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 86/83, 82/57, 29/71, 73/258?

Answer: GCF of Numerators as per given numbers 86/83, 82/57, 29/71, 73/258 is

GCF of Numerators i.e. for 86,82,29,73 is 1

LCM of denominators i.e. for 83,57,71,258 is 28887486.

Thus, GCF of Fractions is 1/28887486.Finally, GCF of Fractions for 86/83, 82/57, 29/71, 73/258 is 1/28887486.