Greatest Common Factor of 8013/657, 1615/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8013/657, 1615/831

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 8013/657,1615/831

Given fractions are 8013/657,1615/831

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 8013,1615

Greatest Common Factor of Numerators i.e. GCF of 8013,1615 is 1 .

LCM of Denominators means LCM of 657,831 as per the given fractions.

LCM of 657,831 is 181989 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8013,1615

GCF of Fractions 8013/657,1615/831 is 1/181989

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

Greatest Common Factor of 8013,1615 By Matching Biggest Common Factor Method

Greatest Common Factor of 8013,1615 By Matching Biggest Common Factor Method

Factors of 8013

List of positive integer factors of 8013 that divides 8013 without a remainder.

1,3,2671,8013

Factors of 1615

List of positive integer factors of 1615 that divides 1615 without a remainder.

1,5,17,19,85,95,323,1615

Greatest Common Factor

We found the factors 8013,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 8013,1615 is 1.

Lets's calculate LCM of 657,831

3 657, 831
219, 277

∴ So the LCM of the given numbers is 3 x 219 x 277 = 181989

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181989

Therefore, the GCF of Fractions 8013/657,1615/831 is 1/181989

Least Common Multiple of 657,831 with GCF Formula

Least Common Multiple of 657,831 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 657,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,831) = 3

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

GCF(657,831) x common factors =3 x 1 = 3

LCM(657,831) = ( 657 × 831 ) / 3

LCM(657,831) = 545967 / 3

LCM(657,831) = 181989


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 8013/657, 1615/831

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 8013/657, 1615/831?

Answer: GCF of Numerators as per given numbers 8013/657, 1615/831 is

GCF of Numerators i.e. for 8013,1615 is 1

LCM of denominators i.e. for 657,831 is 181989.

Thus, GCF of Fractions is 1/181989.Finally, GCF of Fractions for 8013/657, 1615/831 is 1/181989.