Greatest Common Factor of 516/60, 974/41, 813/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/60, 974/41, 813/571

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 516/60,974/41,813/571

Given fractions are 516/60,974/41,813/571

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 516,974,813

Greatest Common Factor of Numerators i.e. GCF of 516,974,813 is 1 .

LCM of Denominators means LCM of 60,41,571 as per the given fractions.

LCM of 60,41,571 is 1404660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,974,813

GCF of Fractions 516/60,974/41,813/571 is 1/1404660

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

Greatest Common Factor of 516,974,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,974,813 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 516,974,813 . The biggest common factor number is the GCF number.
So the greatest common factor 516,974,813 is 1.

Lets's calculate LCM of 60,41,571

Given numbers has no common factors except 1. So, there LCM is their product i.e 1404660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1404660

Therefore, the GCF of Fractions 516/60,974/41,813/571 is 1/1404660

Least Common Multiple of 60,41,571 with GCF Formula

Least Common Multiple of 60,41,571 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 60,41,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,41,571) = 1

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

GCF(60,41,571) x common factors =1 x 1 = 1

LCM(60,41,571) = ( 60 × 41 × 571 ) / 1

LCM(60,41,571) = 1404660 / 1

LCM(60,41,571) = 1404660


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 516/60, 974/41, 813/571

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 516/60, 974/41, 813/571?

Answer: GCF of Numerators as per given numbers 516/60, 974/41, 813/571 is

GCF of Numerators i.e. for 516,974,813 is 1

LCM of denominators i.e. for 60,41,571 is 1404660.

Thus, GCF of Fractions is 1/1404660.Finally, GCF of Fractions for 516/60, 974/41, 813/571 is 1/1404660.