Greatest Common Factor of 729/82, 6187/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 729/82, 6187/214

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 729/82,6187/214

Given fractions are 729/82,6187/214

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 729,6187

Greatest Common Factor of Numerators i.e. GCF of 729,6187 is 1 .

LCM of Denominators means LCM of 82,214 as per the given fractions.

LCM of 82,214 is 8774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 729,6187

GCF of Fractions 729/82,6187/214 is 1/8774

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

Greatest Common Factor of 729,6187 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,6187 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 6187

List of positive integer factors of 6187 that divides 6187 without a remainder.

1,23,269,6187

Greatest Common Factor

We found the factors 729,6187 . The biggest common factor number is the GCF number.
So the greatest common factor 729,6187 is 1.

Lets's calculate LCM of 82,214

2 82, 214
41, 107

∴ So the LCM of the given numbers is 2 x 41 x 107 = 8774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8774

Therefore, the GCF of Fractions 729/82,6187/214 is 1/8774

Least Common Multiple of 82,214 with GCF Formula

Least Common Multiple of 82,214 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 82,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,214) = 2

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

GCF(82,214) x common factors =2 x 1 = 2

LCM(82,214) = ( 82 × 214 ) / 2

LCM(82,214) = 17548 / 2

LCM(82,214) = 8774


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 729/82, 6187/214

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 729/82, 6187/214?

Answer: GCF of Numerators as per given numbers 729/82, 6187/214 is

GCF of Numerators i.e. for 729,6187 is 1

LCM of denominators i.e. for 82,214 is 8774.

Thus, GCF of Fractions is 1/8774.Finally, GCF of Fractions for 729/82, 6187/214 is 1/8774.