Greatest Common Factor of 615/99, 338/36, 768/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/99, 338/36, 768/367

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 615/99,338/36,768/367

Given fractions are 615/99,338/36,768/367

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 615,338,768

Greatest Common Factor of Numerators i.e. GCF of 615,338,768 is 1 .

LCM of Denominators means LCM of 99,36,367 as per the given fractions.

LCM of 99,36,367 is 145332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,338,768

GCF of Fractions 615/99,338/36,768/367 is 1/145332

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

Greatest Common Factor of 615,338,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,338,768 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 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 615,338,768 . The biggest common factor number is the GCF number.
So the greatest common factor 615,338,768 is 1.

Lets's calculate LCM of 99,36,367

3 99, 36, 367
3 33, 12, 367
11, 4, 367

∴ So the LCM of the given numbers is 3 x 3 x 11 x 4 x 367 = 145332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145332

Therefore, the GCF of Fractions 615/99,338/36,768/367 is 1/145332

Least Common Multiple of 99,36,367 with GCF Formula

Least Common Multiple of 99,36,367 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 99,36,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,36,367) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(99,36,367) x common factors =1 x 9 = 9

LCM(99,36,367) = ( 99 × 36 × 367 ) / 9

LCM(99,36,367) = 1307988 / 9

LCM(99,36,367) = 145332


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 615/99, 338/36, 768/367

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 615/99, 338/36, 768/367?

Answer: GCF of Numerators as per given numbers 615/99, 338/36, 768/367 is

GCF of Numerators i.e. for 615,338,768 is 1

LCM of denominators i.e. for 99,36,367 is 145332.

Thus, GCF of Fractions is 1/145332.Finally, GCF of Fractions for 615/99, 338/36, 768/367 is 1/145332.