Greatest Common Factor of 28/219, 221/141, 214/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/219, 221/141, 214/360

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 28/219,221/141,214/360

Given fractions are 28/219,221/141,214/360

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 28,221,214

Greatest Common Factor of Numerators i.e. GCF of 28,221,214 is 1 .

LCM of Denominators means LCM of 219,141,360 as per the given fractions.

LCM of 219,141,360 is 1235160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,221,214

GCF of Fractions 28/219,221/141,214/360 is 1/1235160

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

Greatest Common Factor of 28,221,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,221,214 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 28,221,214 . The biggest common factor number is the GCF number.
So the greatest common factor 28,221,214 is 1.

Lets's calculate LCM of 219,141,360

3 219, 141, 360
73, 47, 120

∴ So the LCM of the given numbers is 3 x 73 x 47 x 120 = 1235160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1235160

Therefore, the GCF of Fractions 28/219,221/141,214/360 is 1/1235160

Least Common Multiple of 219,141,360 with GCF Formula

Least Common Multiple of 219,141,360 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 219,141,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,141,360) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(219,141,360) x common factors =3 x 3 = 9

LCM(219,141,360) = ( 219 × 141 × 360 ) / 9

LCM(219,141,360) = 11116440 / 9

LCM(219,141,360) = 1235160


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 28/219, 221/141, 214/360

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 28/219, 221/141, 214/360?

Answer: GCF of Numerators as per given numbers 28/219, 221/141, 214/360 is

GCF of Numerators i.e. for 28,221,214 is 1

LCM of denominators i.e. for 219,141,360 is 1235160.

Thus, GCF of Fractions is 1/1235160.Finally, GCF of Fractions for 28/219, 221/141, 214/360 is 1/1235160.