Greatest Common Factor of 574/18, 216/21, 891/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 574/18, 216/21, 891/582

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 574/18,216/21,891/582

Given fractions are 574/18,216/21,891/582

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 574,216,891

Greatest Common Factor of Numerators i.e. GCF of 574,216,891 is 1 .

LCM of Denominators means LCM of 18,21,582 as per the given fractions.

LCM of 18,21,582 is 12222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 574,216,891

GCF of Fractions 574/18,216/21,891/582 is 1/12222

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

Greatest Common Factor of 574,216,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,216,891 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 574,216,891 . The biggest common factor number is the GCF number.
So the greatest common factor 574,216,891 is 1.

Lets's calculate LCM of 18,21,582

2 18, 21, 582
3 9, 21, 291
3, 7, 97

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 97 = 12222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12222

Therefore, the GCF of Fractions 574/18,216/21,891/582 is 1/12222

Least Common Multiple of 18,21,582 with GCF Formula

Least Common Multiple of 18,21,582 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 18,21,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,21,582) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(18,21,582) x common factors =3 x 6 = 18

LCM(18,21,582) = ( 18 × 21 × 582 ) / 18

LCM(18,21,582) = 219996 / 18

LCM(18,21,582) = 12222


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 574/18, 216/21, 891/582

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 574/18, 216/21, 891/582?

Answer: GCF of Numerators as per given numbers 574/18, 216/21, 891/582 is

GCF of Numerators i.e. for 574,216,891 is 1

LCM of denominators i.e. for 18,21,582 is 12222.

Thus, GCF of Fractions is 1/12222.Finally, GCF of Fractions for 574/18, 216/21, 891/582 is 1/12222.