Greatest Common Factor of 2085/386, 2363/1160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2085/386, 2363/1160

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 2085/386,2363/1160

Given fractions are 2085/386,2363/1160

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 2085,2363

Greatest Common Factor of Numerators i.e. GCF of 2085,2363 is 139 .

LCM of Denominators means LCM of 386,1160 as per the given fractions.

LCM of 386,1160 is 223880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2085,2363

GCF of Fractions 2085/386,2363/1160 is 139/223880

139 2085, 2363
15, 17

∴ So the GCF of the given numbers is 139 = 139

Greatest Common Factor of 2085,2363 By Matching Biggest Common Factor Method

Greatest Common Factor of 2085,2363 By Matching Biggest Common Factor Method

Factors of 2085

List of positive integer factors of 2085 that divides 2085 without a remainder.

1,3,5,15,139,417,695,2085

Factors of 2363

List of positive integer factors of 2363 that divides 2363 without a remainder.

1,17,139,2363

Greatest Common Factor

We found the factors 2085,2363 . The biggest common factor number is the GCF number.
So the greatest common factor 2085,2363 is 139.

Lets's calculate LCM of 386,1160

2 386, 1160
193, 580

∴ So the LCM of the given numbers is 2 x 193 x 580 = 223880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/223880

Therefore, the GCF of Fractions 2085/386,2363/1160 is 139/223880

Least Common Multiple of 386,1160 with GCF Formula

Least Common Multiple of 386,1160 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 386,1160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,1160) = 2

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

GCF(386,1160) x common factors =2 x 1 = 2

LCM(386,1160) = ( 386 × 1160 ) / 2

LCM(386,1160) = 447760 / 2

LCM(386,1160) = 223880


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 2085/386, 2363/1160

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 2085/386, 2363/1160?

Answer: GCF of Numerators as per given numbers 2085/386, 2363/1160 is

GCF of Numerators i.e. for 2085,2363 is 139

LCM of denominators i.e. for 386,1160 is 223880.

Thus, GCF of Fractions is 139/223880.Finally, GCF of Fractions for 2085/386, 2363/1160 is 139/223880.