Greatest Common Factor of 337/254, 496/544, 745/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 337/254, 496/544, 745/886

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 337/254,496/544,745/886

Given fractions are 337/254,496/544,745/886

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 337,496,745

Greatest Common Factor of Numerators i.e. GCF of 337,496,745 is 1 .

LCM of Denominators means LCM of 254,544,886 as per the given fractions.

LCM of 254,544,886 is 30605984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 337,496,745

GCF of Fractions 337/254,496/544,745/886 is 1/30605984

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

Greatest Common Factor of 337,496,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,496,745 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 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 337,496,745 . The biggest common factor number is the GCF number.
So the greatest common factor 337,496,745 is 1.

Lets's calculate LCM of 254,544,886

2 254, 544, 886
127, 272, 443

∴ So the LCM of the given numbers is 2 x 127 x 272 x 443 = 30605984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30605984

Therefore, the GCF of Fractions 337/254,496/544,745/886 is 1/30605984

Least Common Multiple of 254,544,886 with GCF Formula

Least Common Multiple of 254,544,886 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 254,544,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,544,886) = 2

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

GCF(254,544,886) x common factors =2 x 2 = 4

LCM(254,544,886) = ( 254 × 544 × 886 ) / 4

LCM(254,544,886) = 122423936 / 4

LCM(254,544,886) = 30605984


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 337/254, 496/544, 745/886

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 337/254, 496/544, 745/886?

Answer: GCF of Numerators as per given numbers 337/254, 496/544, 745/886 is

GCF of Numerators i.e. for 337,496,745 is 1

LCM of denominators i.e. for 254,544,886 is 30605984.

Thus, GCF of Fractions is 1/30605984.Finally, GCF of Fractions for 337/254, 496/544, 745/886 is 1/30605984.