Greatest Common Factor of 2040/366, 2985/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2040/366, 2985/860

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 2040/366,2985/860

Given fractions are 2040/366,2985/860

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 2040,2985

Greatest Common Factor of Numerators i.e. GCF of 2040,2985 is 15 .

LCM of Denominators means LCM of 366,860 as per the given fractions.

LCM of 366,860 is 157380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2040,2985

GCF of Fractions 2040/366,2985/860 is 15/157380

3 2040, 2985
5 680, 995
136, 199

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 2040,2985 By Matching Biggest Common Factor Method

Greatest Common Factor of 2040,2985 By Matching Biggest Common Factor Method

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Factors of 2985

List of positive integer factors of 2985 that divides 2985 without a remainder.

1,3,5,15,199,597,995,2985

Greatest Common Factor

We found the factors 2040,2985 . The biggest common factor number is the GCF number.
So the greatest common factor 2040,2985 is 15.

Lets's calculate LCM of 366,860

2 366, 860
183, 430

∴ So the LCM of the given numbers is 2 x 183 x 430 = 157380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/157380

Therefore, the GCF of Fractions 2040/366,2985/860 is 15/157380

Least Common Multiple of 366,860 with GCF Formula

Least Common Multiple of 366,860 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 366,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,860) = 2

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

GCF(366,860) x common factors =2 x 1 = 2

LCM(366,860) = ( 366 × 860 ) / 2

LCM(366,860) = 314760 / 2

LCM(366,860) = 157380


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 2040/366, 2985/860

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 2040/366, 2985/860?

Answer: GCF of Numerators as per given numbers 2040/366, 2985/860 is

GCF of Numerators i.e. for 2040,2985 is 15

LCM of denominators i.e. for 366,860 is 157380.

Thus, GCF of Fractions is 15/157380.Finally, GCF of Fractions for 2040/366, 2985/860 is 15/157380.