Greatest Common Factor of 337/72, 458/77, 541/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 337/72, 458/77, 541/898

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 337/72,458/77,541/898

Given fractions are 337/72,458/77,541/898

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 337,458,541

Greatest Common Factor of Numerators i.e. GCF of 337,458,541 is 1 .

LCM of Denominators means LCM of 72,77,898 as per the given fractions.

LCM of 72,77,898 is 2489256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 337,458,541

GCF of Fractions 337/72,458/77,541/898 is 1/2489256

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

Greatest Common Factor of 337,458,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,458,541 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 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 337,458,541 . The biggest common factor number is the GCF number.
So the greatest common factor 337,458,541 is 1.

Lets's calculate LCM of 72,77,898

2 72, 77, 898
36, 77, 449

∴ So the LCM of the given numbers is 2 x 36 x 77 x 449 = 2489256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2489256

Therefore, the GCF of Fractions 337/72,458/77,541/898 is 1/2489256

Least Common Multiple of 72,77,898 with GCF Formula

Least Common Multiple of 72,77,898 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 72,77,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,77,898) = 1

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

GCF(72,77,898) x common factors =1 x 2 = 2

LCM(72,77,898) = ( 72 × 77 × 898 ) / 2

LCM(72,77,898) = 4978512 / 2

LCM(72,77,898) = 2489256


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 337/72, 458/77, 541/898

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 337/72, 458/77, 541/898?

Answer: GCF of Numerators as per given numbers 337/72, 458/77, 541/898 is

GCF of Numerators i.e. for 337,458,541 is 1

LCM of denominators i.e. for 72,77,898 is 2489256.

Thus, GCF of Fractions is 1/2489256.Finally, GCF of Fractions for 337/72, 458/77, 541/898 is 1/2489256.