Greatest Common Factor of 385/81, 2300/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/81, 2300/115

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 385/81,2300/115

Given fractions are 385/81,2300/115

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 385,2300

Greatest Common Factor of Numerators i.e. GCF of 385,2300 is 5 .

LCM of Denominators means LCM of 81,115 as per the given fractions.

LCM of 81,115 is 9315 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,2300

GCF of Fractions 385/81,2300/115 is 5/9315

5 385, 2300
77, 460

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 385,2300 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,2300 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 2300

List of positive integer factors of 2300 that divides 2300 without a remainder.

1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300

Greatest Common Factor

We found the factors 385,2300 . The biggest common factor number is the GCF number.
So the greatest common factor 385,2300 is 5.

Lets's calculate LCM of 81,115

Given numbers has no common factors except 1. So, there LCM is their product i.e 9315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9315

Therefore, the GCF of Fractions 385/81,2300/115 is 5/9315

Least Common Multiple of 81,115 with GCF Formula

Least Common Multiple of 81,115 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 81,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,115) = 1

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

GCF(81,115) x common factors =1 x 1 = 1

LCM(81,115) = ( 81 × 115 ) / 1

LCM(81,115) = 9315 / 1

LCM(81,115) = 9315


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 385/81, 2300/115

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 385/81, 2300/115?

Answer: GCF of Numerators as per given numbers 385/81, 2300/115 is

GCF of Numerators i.e. for 385,2300 is 5

LCM of denominators i.e. for 81,115 is 9315.

Thus, GCF of Fractions is 5/9315.Finally, GCF of Fractions for 385/81, 2300/115 is 5/9315.