Greatest Common Factor of 285/58, 726/19, 731/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 285/58, 726/19, 731/642

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 285/58,726/19,731/642

Given fractions are 285/58,726/19,731/642

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 285,726,731

Greatest Common Factor of Numerators i.e. GCF of 285,726,731 is 1 .

LCM of Denominators means LCM of 58,19,642 as per the given fractions.

LCM of 58,19,642 is 353742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 285,726,731

GCF of Fractions 285/58,726/19,731/642 is 1/353742

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

Greatest Common Factor of 285,726,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,726,731 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 285,726,731 . The biggest common factor number is the GCF number.
So the greatest common factor 285,726,731 is 1.

Lets's calculate LCM of 58,19,642

2 58, 19, 642
29, 19, 321

∴ So the LCM of the given numbers is 2 x 29 x 19 x 321 = 353742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353742

Therefore, the GCF of Fractions 285/58,726/19,731/642 is 1/353742

Least Common Multiple of 58,19,642 with GCF Formula

Least Common Multiple of 58,19,642 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 58,19,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,19,642) = 1

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

GCF(58,19,642) x common factors =1 x 2 = 2

LCM(58,19,642) = ( 58 × 19 × 642 ) / 2

LCM(58,19,642) = 707484 / 2

LCM(58,19,642) = 353742


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 285/58, 726/19, 731/642

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 285/58, 726/19, 731/642?

Answer: GCF of Numerators as per given numbers 285/58, 726/19, 731/642 is

GCF of Numerators i.e. for 285,726,731 is 1

LCM of denominators i.e. for 58,19,642 is 353742.

Thus, GCF of Fractions is 1/353742.Finally, GCF of Fractions for 285/58, 726/19, 731/642 is 1/353742.