Greatest Common Factor of 30/686, 36/500, 547/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/686, 36/500, 547/849

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 30/686,36/500,547/849

Given fractions are 30/686,36/500,547/849

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 30,36,547

Greatest Common Factor of Numerators i.e. GCF of 30,36,547 is 1 .

LCM of Denominators means LCM of 686,500,849 as per the given fractions.

LCM of 686,500,849 is 145603500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,36,547

GCF of Fractions 30/686,36/500,547/849 is 1/145603500

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

Greatest Common Factor of 30,36,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,36,547 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 30,36,547 . The biggest common factor number is the GCF number.
So the greatest common factor 30,36,547 is 1.

Lets's calculate LCM of 686,500,849

2 686, 500, 849
343, 250, 849

∴ So the LCM of the given numbers is 2 x 343 x 250 x 849 = 145603500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145603500

Therefore, the GCF of Fractions 30/686,36/500,547/849 is 1/145603500

Least Common Multiple of 686,500,849 with GCF Formula

Least Common Multiple of 686,500,849 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 686,500,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,500,849) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(686,500,849) x common factors =1 x 2 = 2

LCM(686,500,849) = ( 686 × 500 × 849 ) / 2

LCM(686,500,849) = 291207000 / 2

LCM(686,500,849) = 145603500


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 30/686, 36/500, 547/849

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 30/686, 36/500, 547/849?

Answer: GCF of Numerators as per given numbers 30/686, 36/500, 547/849 is

GCF of Numerators i.e. for 30,36,547 is 1

LCM of denominators i.e. for 686,500,849 is 145603500.

Thus, GCF of Fractions is 1/145603500.Finally, GCF of Fractions for 30/686, 36/500, 547/849 is 1/145603500.