Greatest Common Factor of 523/181, 6600/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 523/181, 6600/517

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 523/181,6600/517

Given fractions are 523/181,6600/517

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 523,6600

Greatest Common Factor of Numerators i.e. GCF of 523,6600 is 1 .

LCM of Denominators means LCM of 181,517 as per the given fractions.

LCM of 181,517 is 93577 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 523,6600

GCF of Fractions 523/181,6600/517 is 1/93577

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

Greatest Common Factor of 523,6600 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,6600 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600

Greatest Common Factor

We found the factors 523,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 523,6600 is 1.

Lets's calculate LCM of 181,517

Given numbers has no common factors except 1. So, there LCM is their product i.e 93577

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93577

Therefore, the GCF of Fractions 523/181,6600/517 is 1/93577

Least Common Multiple of 181,517 with GCF Formula

Least Common Multiple of 181,517 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 181,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,517) = 1

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

GCF(181,517) x common factors =1 x 1 = 1

LCM(181,517) = ( 181 × 517 ) / 1

LCM(181,517) = 93577 / 1

LCM(181,517) = 93577


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 523/181, 6600/517

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 523/181, 6600/517?

Answer: GCF of Numerators as per given numbers 523/181, 6600/517 is

GCF of Numerators i.e. for 523,6600 is 1

LCM of denominators i.e. for 181,517 is 93577.

Thus, GCF of Fractions is 1/93577.Finally, GCF of Fractions for 523/181, 6600/517 is 1/93577.