Greatest Common Factor of 143/720, 101/688, 586/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 143/720, 101/688, 586/541

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 143/720,101/688,586/541

Given fractions are 143/720,101/688,586/541

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 143,101,586

Greatest Common Factor of Numerators i.e. GCF of 143,101,586 is 1 .

LCM of Denominators means LCM of 720,688,541 as per the given fractions.

LCM of 720,688,541 is 16749360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 143,101,586

GCF of Fractions 143/720,101/688,586/541 is 1/16749360

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

Greatest Common Factor of 143,101,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,101,586 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

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 143,101,586 . The biggest common factor number is the GCF number.
So the greatest common factor 143,101,586 is 1.

Lets's calculate LCM of 720,688,541

2 720, 688, 541
2 360, 344, 541
2 180, 172, 541
2 90, 86, 541
45, 43, 541

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 45 x 43 x 541 = 16749360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16749360

Therefore, the GCF of Fractions 143/720,101/688,586/541 is 1/16749360

Least Common Multiple of 720,688,541 with GCF Formula

Least Common Multiple of 720,688,541 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 720,688,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,688,541) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(720,688,541) x common factors =1 x 16 = 16

LCM(720,688,541) = ( 720 × 688 × 541 ) / 16

LCM(720,688,541) = 267989760 / 16

LCM(720,688,541) = 16749360


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 143/720, 101/688, 586/541

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 143/720, 101/688, 586/541?

Answer: GCF of Numerators as per given numbers 143/720, 101/688, 586/541 is

GCF of Numerators i.e. for 143,101,586 is 1

LCM of denominators i.e. for 720,688,541 is 16749360.

Thus, GCF of Fractions is 1/16749360.Finally, GCF of Fractions for 143/720, 101/688, 586/541 is 1/16749360.