Greatest Common Factor of 33/327, 517/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/327, 517/382

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 33/327,517/382

Given fractions are 33/327,517/382

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 33,517

Greatest Common Factor of Numerators i.e. GCF of 33,517 is 11 .

LCM of Denominators means LCM of 327,382 as per the given fractions.

LCM of 327,382 is 124914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,517

GCF of Fractions 33/327,517/382 is 11/124914

11 33, 517
3, 47

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 33,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,517 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 33,517 . The biggest common factor number is the GCF number.
So the greatest common factor 33,517 is 11.

Lets's calculate LCM of 327,382

Given numbers has no common factors except 1. So, there LCM is their product i.e 124914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/124914

Therefore, the GCF of Fractions 33/327,517/382 is 11/124914

Least Common Multiple of 327,382 with GCF Formula

Least Common Multiple of 327,382 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 327,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,382) = 1

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

GCF(327,382) x common factors =1 x 1 = 1

LCM(327,382) = ( 327 × 382 ) / 1

LCM(327,382) = 124914 / 1

LCM(327,382) = 124914


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 33/327, 517/382

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 33/327, 517/382?

Answer: GCF of Numerators as per given numbers 33/327, 517/382 is

GCF of Numerators i.e. for 33,517 is 11

LCM of denominators i.e. for 327,382 is 124914.

Thus, GCF of Fractions is 11/124914.Finally, GCF of Fractions for 33/327, 517/382 is 11/124914.