Greatest Common Factor of 27/298, 381/708, 873/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/298, 381/708, 873/867

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 27/298,381/708,873/867

Given fractions are 27/298,381/708,873/867

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 27,381,873

Greatest Common Factor of Numerators i.e. GCF of 27,381,873 is 3 .

LCM of Denominators means LCM of 298,708,867 as per the given fractions.

LCM of 298,708,867 is 30487188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,381,873

GCF of Fractions 27/298,381/708,873/867 is 3/30487188

3 27, 381, 873
9, 127, 291

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

Greatest Common Factor of 27,381,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,381,873 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 27,381,873 . The biggest common factor number is the GCF number.
So the greatest common factor 27,381,873 is 3.

Lets's calculate LCM of 298,708,867

2 298, 708, 867
3 149, 354, 867
149, 118, 289

∴ So the LCM of the given numbers is 2 x 3 x 149 x 118 x 289 = 30487188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30487188

Therefore, the GCF of Fractions 27/298,381/708,873/867 is 3/30487188

Least Common Multiple of 298,708,867 with GCF Formula

Least Common Multiple of 298,708,867 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 298,708,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,708,867) = 1

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

GCF(298,708,867) x common factors =1 x 6 = 6

LCM(298,708,867) = ( 298 × 708 × 867 ) / 6

LCM(298,708,867) = 182923128 / 6

LCM(298,708,867) = 30487188


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 27/298, 381/708, 873/867

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 27/298, 381/708, 873/867?

Answer: GCF of Numerators as per given numbers 27/298, 381/708, 873/867 is

GCF of Numerators i.e. for 27,381,873 is 3

LCM of denominators i.e. for 298,708,867 is 30487188.

Thus, GCF of Fractions is 3/30487188.Finally, GCF of Fractions for 27/298, 381/708, 873/867 is 3/30487188.