Greatest Common Factor of 339/909, 5057/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 339/909, 5057/169

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 339/909,5057/169

Given fractions are 339/909,5057/169

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 339,5057

Greatest Common Factor of Numerators i.e. GCF of 339,5057 is 1 .

LCM of Denominators means LCM of 909,169 as per the given fractions.

LCM of 909,169 is 153621 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 339,5057

GCF of Fractions 339/909,5057/169 is 1/153621

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

Greatest Common Factor of 339,5057 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,5057 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 5057

List of positive integer factors of 5057 that divides 5057 without a remainder.

1,13,389,5057

Greatest Common Factor

We found the factors 339,5057 . The biggest common factor number is the GCF number.
So the greatest common factor 339,5057 is 1.

Lets's calculate LCM of 909,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 153621

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153621

Therefore, the GCF of Fractions 339/909,5057/169 is 1/153621

Least Common Multiple of 909,169 with GCF Formula

Least Common Multiple of 909,169 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 909,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,169) = 1

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

GCF(909,169) x common factors =1 x 1 = 1

LCM(909,169) = ( 909 × 169 ) / 1

LCM(909,169) = 153621 / 1

LCM(909,169) = 153621


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 339/909, 5057/169

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 339/909, 5057/169?

Answer: GCF of Numerators as per given numbers 339/909, 5057/169 is

GCF of Numerators i.e. for 339,5057 is 1

LCM of denominators i.e. for 909,169 is 153621.

Thus, GCF of Fractions is 1/153621.Finally, GCF of Fractions for 339/909, 5057/169 is 1/153621.