Greatest Common Factor of 523/478, 8590/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 523/478, 8590/660

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 523/478,8590/660

Given fractions are 523/478,8590/660

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 523,8590

Greatest Common Factor of Numerators i.e. GCF of 523,8590 is 1 .

LCM of Denominators means LCM of 478,660 as per the given fractions.

LCM of 478,660 is 157740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 523,8590

GCF of Fractions 523/478,8590/660 is 1/157740

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

Greatest Common Factor of 523,8590 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,8590 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 8590

List of positive integer factors of 8590 that divides 8590 without a remainder.

1,2,5,10,859,1718,4295,8590

Greatest Common Factor

We found the factors 523,8590 . The biggest common factor number is the GCF number.
So the greatest common factor 523,8590 is 1.

Lets's calculate LCM of 478,660

2 478, 660
239, 330

∴ So the LCM of the given numbers is 2 x 239 x 330 = 157740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157740

Therefore, the GCF of Fractions 523/478,8590/660 is 1/157740

Least Common Multiple of 478,660 with GCF Formula

Least Common Multiple of 478,660 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 478,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,660) = 2

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

GCF(478,660) x common factors =2 x 1 = 2

LCM(478,660) = ( 478 × 660 ) / 2

LCM(478,660) = 315480 / 2

LCM(478,660) = 157740


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 523/478, 8590/660

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 523/478, 8590/660?

Answer: GCF of Numerators as per given numbers 523/478, 8590/660 is

GCF of Numerators i.e. for 523,8590 is 1

LCM of denominators i.e. for 478,660 is 157740.

Thus, GCF of Fractions is 1/157740.Finally, GCF of Fractions for 523/478, 8590/660 is 1/157740.