Greatest Common Factor of 6033/87, 9927/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6033/87, 9927/249

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 6033/87,9927/249

Given fractions are 6033/87,9927/249

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 6033,9927

Greatest Common Factor of Numerators i.e. GCF of 6033,9927 is 3 .

LCM of Denominators means LCM of 87,249 as per the given fractions.

LCM of 87,249 is 7221 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6033,9927

GCF of Fractions 6033/87,9927/249 is 3/7221

3 6033, 9927
2011, 3309

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

Greatest Common Factor of 6033,9927 By Matching Biggest Common Factor Method

Greatest Common Factor of 6033,9927 By Matching Biggest Common Factor Method

Factors of 6033

List of positive integer factors of 6033 that divides 6033 without a remainder.

1,3,2011,6033

Factors of 9927

List of positive integer factors of 9927 that divides 9927 without a remainder.

1,3,9,1103,3309,9927

Greatest Common Factor

We found the factors 6033,9927 . The biggest common factor number is the GCF number.
So the greatest common factor 6033,9927 is 3.

Lets's calculate LCM of 87,249

3 87, 249
29, 83

∴ So the LCM of the given numbers is 3 x 29 x 83 = 7221

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7221

Therefore, the GCF of Fractions 6033/87,9927/249 is 3/7221

Least Common Multiple of 87,249 with GCF Formula

Least Common Multiple of 87,249 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 87,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,249) = 3

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

GCF(87,249) x common factors =3 x 1 = 3

LCM(87,249) = ( 87 × 249 ) / 3

LCM(87,249) = 21663 / 3

LCM(87,249) = 7221


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 6033/87, 9927/249

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 6033/87, 9927/249?

Answer: GCF of Numerators as per given numbers 6033/87, 9927/249 is

GCF of Numerators i.e. for 6033,9927 is 3

LCM of denominators i.e. for 87,249 is 7221.

Thus, GCF of Fractions is 3/7221.Finally, GCF of Fractions for 6033/87, 9927/249 is 3/7221.