Greatest Common Factor of 337/87, 489/35, 586/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 337/87, 489/35, 586/480

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 337/87,489/35,586/480

Given fractions are 337/87,489/35,586/480

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 337,489,586

Greatest Common Factor of Numerators i.e. GCF of 337,489,586 is 1 .

LCM of Denominators means LCM of 87,35,480 as per the given fractions.

LCM of 87,35,480 is 97440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 337,489,586

GCF of Fractions 337/87,489/35,586/480 is 1/97440

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

Greatest Common Factor of 337,489,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,489,586 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 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 337,489,586 . The biggest common factor number is the GCF number.
So the greatest common factor 337,489,586 is 1.

Lets's calculate LCM of 87,35,480

3 87, 35, 480
5 29, 35, 160
29, 7, 32

∴ So the LCM of the given numbers is 3 x 5 x 29 x 7 x 32 = 97440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97440

Therefore, the GCF of Fractions 337/87,489/35,586/480 is 1/97440

Least Common Multiple of 87,35,480 with GCF Formula

Least Common Multiple of 87,35,480 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 87,35,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,35,480) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(87,35,480) x common factors =1 x 15 = 15

LCM(87,35,480) = ( 87 × 35 × 480 ) / 15

LCM(87,35,480) = 1461600 / 15

LCM(87,35,480) = 97440


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 337/87, 489/35, 586/480

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 337/87, 489/35, 586/480?

Answer: GCF of Numerators as per given numbers 337/87, 489/35, 586/480 is

GCF of Numerators i.e. for 337,489,586 is 1

LCM of denominators i.e. for 87,35,480 is 97440.

Thus, GCF of Fractions is 1/97440.Finally, GCF of Fractions for 337/87, 489/35, 586/480 is 1/97440.