Greatest Common Factor of 441/23, 286/24, 542/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 441/23, 286/24, 542/30

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 441/23,286/24,542/30

Given fractions are 441/23,286/24,542/30

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 441,286,542

Greatest Common Factor of Numerators i.e. GCF of 441,286,542 is 1 .

LCM of Denominators means LCM of 23,24,30 as per the given fractions.

LCM of 23,24,30 is 2760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 441,286,542

GCF of Fractions 441/23,286/24,542/30 is 1/2760

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

Greatest Common Factor of 441,286,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,286,542 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 441,286,542 . The biggest common factor number is the GCF number.
So the greatest common factor 441,286,542 is 1.

Lets's calculate LCM of 23,24,30

2 23, 24, 30
3 23, 12, 15
23, 4, 5

∴ So the LCM of the given numbers is 2 x 3 x 23 x 4 x 5 = 2760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2760

Therefore, the GCF of Fractions 441/23,286/24,542/30 is 1/2760

Least Common Multiple of 23,24,30 with GCF Formula

Least Common Multiple of 23,24,30 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 23,24,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,24,30) = 1

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

GCF(23,24,30) x common factors =1 x 6 = 6

LCM(23,24,30) = ( 23 × 24 × 30 ) / 6

LCM(23,24,30) = 16560 / 6

LCM(23,24,30) = 2760


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 441/23, 286/24, 542/30

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 441/23, 286/24, 542/30?

Answer: GCF of Numerators as per given numbers 441/23, 286/24, 542/30 is

GCF of Numerators i.e. for 441,286,542 is 1

LCM of denominators i.e. for 23,24,30 is 2760.

Thus, GCF of Fractions is 1/2760.Finally, GCF of Fractions for 441/23, 286/24, 542/30 is 1/2760.