Greatest Common Factor of 615/726, 2267/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/726, 2267/363

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 615/726,2267/363

Given fractions are 615/726,2267/363

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 615,2267

Greatest Common Factor of Numerators i.e. GCF of 615,2267 is 1 .

LCM of Denominators means LCM of 726,363 as per the given fractions.

LCM of 726,363 is 726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,2267

GCF of Fractions 615/726,2267/363 is 1/726

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

Greatest Common Factor of 615,2267 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,2267 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 2267

List of positive integer factors of 2267 that divides 2267 without a remainder.

1,2267

Greatest Common Factor

We found the factors 615,2267 . The biggest common factor number is the GCF number.
So the greatest common factor 615,2267 is 1.

Lets's calculate LCM of 726,363

3 726, 363
11 242, 121
11 22, 11
2, 1

∴ So the LCM of the given numbers is 3 x 11 x 11 x 2 x 1 = 726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/726

Therefore, the GCF of Fractions 615/726,2267/363 is 1/726

Least Common Multiple of 726,363 with GCF Formula

Least Common Multiple of 726,363 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 726,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,363) = 363

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

GCF(726,363) x common factors =363 x 1 = 363

LCM(726,363) = ( 726 × 363 ) / 363

LCM(726,363) = 263538 / 363

LCM(726,363) = 726


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 615/726, 2267/363

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 615/726, 2267/363?

Answer: GCF of Numerators as per given numbers 615/726, 2267/363 is

GCF of Numerators i.e. for 615,2267 is 1

LCM of denominators i.e. for 726,363 is 726.

Thus, GCF of Fractions is 1/726.Finally, GCF of Fractions for 615/726, 2267/363 is 1/726.