Greatest Common Factor of 366/4608, 255/8267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 366/4608, 255/8267

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 366/4608,255/8267

Given fractions are 366/4608,255/8267

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 366,255

Greatest Common Factor of Numerators i.e. GCF of 366,255 is 3 .

LCM of Denominators means LCM of 4608,8267 as per the given fractions.

LCM of 4608,8267 is 38094336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 366,255

GCF of Fractions 366/4608,255/8267 is 3/38094336

3 366, 255
122, 85

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 366,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,255 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 366,255 . The biggest common factor number is the GCF number.
So the greatest common factor 366,255 is 3.

Lets's calculate LCM of 4608,8267

Given numbers has no common factors except 1. So, there LCM is their product i.e 38094336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38094336

Therefore, the GCF of Fractions 366/4608,255/8267 is 3/38094336

Least Common Multiple of 4608,8267 with GCF Formula

Least Common Multiple of 4608,8267 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 4608,8267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4608,8267) = 1

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

GCF(4608,8267) x common factors =1 x 1 = 1

LCM(4608,8267) = ( 4608 × 8267 ) / 1

LCM(4608,8267) = 38094336 / 1

LCM(4608,8267) = 38094336


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 366/4608, 255/8267

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 366/4608, 255/8267?

Answer: GCF of Numerators as per given numbers 366/4608, 255/8267 is

GCF of Numerators i.e. for 366,255 is 3

LCM of denominators i.e. for 4608,8267 is 38094336.

Thus, GCF of Fractions is 3/38094336.Finally, GCF of Fractions for 366/4608, 255/8267 is 3/38094336.