Greatest Common Factor of 327/215, 3627/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 327/215, 3627/516

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 327/215,3627/516

Given fractions are 327/215,3627/516

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 327,3627

Greatest Common Factor of Numerators i.e. GCF of 327,3627 is 3 .

LCM of Denominators means LCM of 215,516 as per the given fractions.

LCM of 215,516 is 2580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 327,3627

GCF of Fractions 327/215,3627/516 is 3/2580

3 327, 3627
109, 1209

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

Greatest Common Factor of 327,3627 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,3627 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1,3,9,13,31,39,93,117,279,403,1209,3627

Greatest Common Factor

We found the factors 327,3627 . The biggest common factor number is the GCF number.
So the greatest common factor 327,3627 is 3.

Lets's calculate LCM of 215,516

43 215, 516
5, 12

∴ So the LCM of the given numbers is 43 x 5 x 12 = 2580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2580

Therefore, the GCF of Fractions 327/215,3627/516 is 3/2580

Least Common Multiple of 215,516 with GCF Formula

Least Common Multiple of 215,516 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 215,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,516) = 43

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

GCF(215,516) x common factors =43 x 1 = 43

LCM(215,516) = ( 215 × 516 ) / 43

LCM(215,516) = 110940 / 43

LCM(215,516) = 2580


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 327/215, 3627/516

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 327/215, 3627/516?

Answer: GCF of Numerators as per given numbers 327/215, 3627/516 is

GCF of Numerators i.e. for 327,3627 is 3

LCM of denominators i.e. for 215,516 is 2580.

Thus, GCF of Fractions is 3/2580.Finally, GCF of Fractions for 327/215, 3627/516 is 3/2580.