Greatest Common Factor of 337/14, 349/7904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 337/14, 349/7904

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 337/14,349/7904

Given fractions are 337/14,349/7904

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 337,349

Greatest Common Factor of Numerators i.e. GCF of 337,349 is 1 .

LCM of Denominators means LCM of 14,7904 as per the given fractions.

LCM of 14,7904 is 55328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 337,349

GCF of Fractions 337/14,349/7904 is 1/55328

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

Greatest Common Factor of 337,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,349 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 337,349 . The biggest common factor number is the GCF number.
So the greatest common factor 337,349 is 1.

Lets's calculate LCM of 14,7904

2 14, 7904
7, 3952

∴ So the LCM of the given numbers is 2 x 7 x 3952 = 55328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55328

Therefore, the GCF of Fractions 337/14,349/7904 is 1/55328

Least Common Multiple of 14,7904 with GCF Formula

Least Common Multiple of 14,7904 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 14,7904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,7904) = 2

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

GCF(14,7904) x common factors =2 x 1 = 2

LCM(14,7904) = ( 14 × 7904 ) / 2

LCM(14,7904) = 110656 / 2

LCM(14,7904) = 55328


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 337/14, 349/7904

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 337/14, 349/7904?

Answer: GCF of Numerators as per given numbers 337/14, 349/7904 is

GCF of Numerators i.e. for 337,349 is 1

LCM of denominators i.e. for 14,7904 is 55328.

Thus, GCF of Fractions is 1/55328.Finally, GCF of Fractions for 337/14, 349/7904 is 1/55328.