Greatest Common Factor of 470/31, 540/33, 339/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/31, 540/33, 339/104

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 470/31,540/33,339/104

Given fractions are 470/31,540/33,339/104

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 470,540,339

Greatest Common Factor of Numerators i.e. GCF of 470,540,339 is 1 .

LCM of Denominators means LCM of 31,33,104 as per the given fractions.

LCM of 31,33,104 is 106392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,540,339

GCF of Fractions 470/31,540/33,339/104 is 1/106392

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

Greatest Common Factor of 470,540,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,540,339 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 470,540,339 . The biggest common factor number is the GCF number.
So the greatest common factor 470,540,339 is 1.

Lets's calculate LCM of 31,33,104

Given numbers has no common factors except 1. So, there LCM is their product i.e 106392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106392

Therefore, the GCF of Fractions 470/31,540/33,339/104 is 1/106392

Least Common Multiple of 31,33,104 with GCF Formula

Least Common Multiple of 31,33,104 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 31,33,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,33,104) = 1

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

GCF(31,33,104) x common factors =1 x 1 = 1

LCM(31,33,104) = ( 31 × 33 × 104 ) / 1

LCM(31,33,104) = 106392 / 1

LCM(31,33,104) = 106392


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 470/31, 540/33, 339/104

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 470/31, 540/33, 339/104?

Answer: GCF of Numerators as per given numbers 470/31, 540/33, 339/104 is

GCF of Numerators i.e. for 470,540,339 is 1

LCM of denominators i.e. for 31,33,104 is 106392.

Thus, GCF of Fractions is 1/106392.Finally, GCF of Fractions for 470/31, 540/33, 339/104 is 1/106392.