Greatest Common Factor of 2700/299, 9045/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2700/299, 9045/381

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 2700/299,9045/381

Given fractions are 2700/299,9045/381

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 2700,9045

Greatest Common Factor of Numerators i.e. GCF of 2700,9045 is 135 .

LCM of Denominators means LCM of 299,381 as per the given fractions.

LCM of 299,381 is 113919 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2700,9045

GCF of Fractions 2700/299,9045/381 is 135/113919

3 2700, 9045
3 900, 3015
3 300, 1005
5 100, 335
20, 67

∴ So the GCF of the given numbers is 3 x 3 x 3 x 5 = 135

Greatest Common Factor of 2700,9045 By Matching Biggest Common Factor Method

Greatest Common Factor of 2700,9045 By Matching Biggest Common Factor Method

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700

Factors of 9045

List of positive integer factors of 9045 that divides 9045 without a remainder.

1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045

Greatest Common Factor

We found the factors 2700,9045 . The biggest common factor number is the GCF number.
So the greatest common factor 2700,9045 is 135.


Lets's calculate LCM of 299,381

Given numbers has no common factors except 1. So, there LCM is their product i.e 113919

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 135/113919

Therefore, the GCF of Fractions 2700/299,9045/381 is 135/113919

Least Common Multiple of 299,381 with GCF Formula

Least Common Multiple of 299,381 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 299,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,381) = 1

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

GCF(299,381) x common factors =1 x 1 = 1

LCM(299,381) = ( 299 × 381 ) / 1

LCM(299,381) = 113919 / 1

LCM(299,381) = 113919


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2700/299, 9045/381

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 2700/299, 9045/381?

Answer: GCF of Numerators as per given numbers 2700/299, 9045/381 is

GCF of Numerators i.e. for 2700,9045 is 135

LCM of denominators i.e. for 299,381 is 113919.

Thus, GCF of Fractions is 135/113919.Finally, GCF of Fractions for 2700/299, 9045/381 is 135/113919.