Greatest Common Factor of 339/910, 174/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 339/910, 174/290

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 339/910,174/290

Given fractions are 339/910,174/290

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 339,174

Greatest Common Factor of Numerators i.e. GCF of 339,174 is 3 .

LCM of Denominators means LCM of 910,290 as per the given fractions.

LCM of 910,290 is 26390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 339,174

GCF of Fractions 339/910,174/290 is 3/26390

3 339, 174
113, 58

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 339,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,174 By Matching Biggest Common Factor Method

Factors of 339

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

1,3,113,339

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 339,174 . The biggest common factor number is the GCF number.
So the greatest common factor 339,174 is 3.

Lets's calculate LCM of 910,290

2 910, 290
5 455, 145
91, 29

∴ So the LCM of the given numbers is 2 x 5 x 91 x 29 = 26390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26390

Therefore, the GCF of Fractions 339/910,174/290 is 3/26390

Least Common Multiple of 910,290 with GCF Formula

Least Common Multiple of 910,290 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 910,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,290) = 10

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

GCF(910,290) x common factors =10 x 1 = 10

LCM(910,290) = ( 910 × 290 ) / 10

LCM(910,290) = 263900 / 10

LCM(910,290) = 26390


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 339/910, 174/290

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 339/910, 174/290?

Answer: GCF of Numerators as per given numbers 339/910, 174/290 is

GCF of Numerators i.e. for 339,174 is 3

LCM of denominators i.e. for 910,290 is 26390.

Thus, GCF of Fractions is 3/26390.Finally, GCF of Fractions for 339/910, 174/290 is 3/26390.