Greatest Common Factor of 328/213, 5560/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/213, 5560/219

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 328/213,5560/219

Given fractions are 328/213,5560/219

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 328,5560

Greatest Common Factor of Numerators i.e. GCF of 328,5560 is 8 .

LCM of Denominators means LCM of 213,219 as per the given fractions.

LCM of 213,219 is 15549 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,5560

GCF of Fractions 328/213,5560/219 is 8/15549

2 328, 5560
2 164, 2780
2 82, 1390
41, 695

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 328,5560 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,5560 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 5560

List of positive integer factors of 5560 that divides 5560 without a remainder.

1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560

Greatest Common Factor

We found the factors 328,5560 . The biggest common factor number is the GCF number.
So the greatest common factor 328,5560 is 8.

Lets's calculate LCM of 213,219

3 213, 219
71, 73

∴ So the LCM of the given numbers is 3 x 71 x 73 = 15549

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/15549

Therefore, the GCF of Fractions 328/213,5560/219 is 8/15549

Least Common Multiple of 213,219 with GCF Formula

Least Common Multiple of 213,219 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 213,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,219) = 3

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

GCF(213,219) x common factors =3 x 1 = 3

LCM(213,219) = ( 213 × 219 ) / 3

LCM(213,219) = 46647 / 3

LCM(213,219) = 15549


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 328/213, 5560/219

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 328/213, 5560/219?

Answer: GCF of Numerators as per given numbers 328/213, 5560/219 is

GCF of Numerators i.e. for 328,5560 is 8

LCM of denominators i.e. for 213,219 is 15549.

Thus, GCF of Fractions is 8/15549.Finally, GCF of Fractions for 328/213, 5560/219 is 8/15549.