Greatest Common Factor of 521/133, 588/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 521/133, 588/887

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 521/133,588/887

Given fractions are 521/133,588/887

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 521,588

Greatest Common Factor of Numerators i.e. GCF of 521,588 is 1 .

LCM of Denominators means LCM of 133,887 as per the given fractions.

LCM of 133,887 is 117971 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 521,588

GCF of Fractions 521/133,588/887 is 1/117971

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

Greatest Common Factor of 521,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,588 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 521,588 . The biggest common factor number is the GCF number.
So the greatest common factor 521,588 is 1.

Lets's calculate LCM of 133,887

Given numbers has no common factors except 1. So, there LCM is their product i.e 117971

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117971

Therefore, the GCF of Fractions 521/133,588/887 is 1/117971

Least Common Multiple of 133,887 with GCF Formula

Least Common Multiple of 133,887 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 133,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,887) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(133,887) x common factors =1 x 1 = 1

LCM(133,887) = ( 133 × 887 ) / 1

LCM(133,887) = 117971 / 1

LCM(133,887) = 117971


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 521/133, 588/887

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 521/133, 588/887?

Answer: GCF of Numerators as per given numbers 521/133, 588/887 is

GCF of Numerators i.e. for 521,588 is 1

LCM of denominators i.e. for 133,887 is 117971.

Thus, GCF of Fractions is 1/117971.Finally, GCF of Fractions for 521/133, 588/887 is 1/117971.