Greatest Common Factor of 8208/33, 3295/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8208/33, 3295/453

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 8208/33,3295/453

Given fractions are 8208/33,3295/453

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 8208,3295

Greatest Common Factor of Numerators i.e. GCF of 8208,3295 is 1 .

LCM of Denominators means LCM of 33,453 as per the given fractions.

LCM of 33,453 is 4983 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8208,3295

GCF of Fractions 8208/33,3295/453 is 1/4983

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

Greatest Common Factor of 8208,3295 By Matching Biggest Common Factor Method

Greatest Common Factor of 8208,3295 By Matching Biggest Common Factor Method

Factors of 8208

List of positive integer factors of 8208 that divides 8208 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208

Factors of 3295

List of positive integer factors of 3295 that divides 3295 without a remainder.

1,5,659,3295

Greatest Common Factor

We found the factors 8208,3295 . The biggest common factor number is the GCF number.
So the greatest common factor 8208,3295 is 1.

Lets's calculate LCM of 33,453

3 33, 453
11, 151

∴ So the LCM of the given numbers is 3 x 11 x 151 = 4983

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4983

Therefore, the GCF of Fractions 8208/33,3295/453 is 1/4983

Least Common Multiple of 33,453 with GCF Formula

Least Common Multiple of 33,453 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 33,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,453) = 3

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

GCF(33,453) x common factors =3 x 1 = 3

LCM(33,453) = ( 33 × 453 ) / 3

LCM(33,453) = 14949 / 3

LCM(33,453) = 4983


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 8208/33, 3295/453

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 8208/33, 3295/453?

Answer: GCF of Numerators as per given numbers 8208/33, 3295/453 is

GCF of Numerators i.e. for 8208,3295 is 1

LCM of denominators i.e. for 33,453 is 4983.

Thus, GCF of Fractions is 1/4983.Finally, GCF of Fractions for 8208/33, 3295/453 is 1/4983.