Greatest Common Factor of 6705/18, 2190/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6705/18, 2190/833

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 6705/18,2190/833

Given fractions are 6705/18,2190/833

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 6705,2190

Greatest Common Factor of Numerators i.e. GCF of 6705,2190 is 15 .

LCM of Denominators means LCM of 18,833 as per the given fractions.

LCM of 18,833 is 14994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6705,2190

GCF of Fractions 6705/18,2190/833 is 15/14994

3 6705, 2190
5 2235, 730
447, 146

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

Greatest Common Factor of 6705,2190 By Matching Biggest Common Factor Method

Greatest Common Factor of 6705,2190 By Matching Biggest Common Factor Method

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

Factors of 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190

Greatest Common Factor

We found the factors 6705,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 6705,2190 is 15.

Lets's calculate LCM of 18,833

Given numbers has no common factors except 1. So, there LCM is their product i.e 14994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/14994

Therefore, the GCF of Fractions 6705/18,2190/833 is 15/14994

Least Common Multiple of 18,833 with GCF Formula

Least Common Multiple of 18,833 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 18,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,833) = 1

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

GCF(18,833) x common factors =1 x 1 = 1

LCM(18,833) = ( 18 × 833 ) / 1

LCM(18,833) = 14994 / 1

LCM(18,833) = 14994


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 6705/18, 2190/833

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 6705/18, 2190/833?

Answer: GCF of Numerators as per given numbers 6705/18, 2190/833 is

GCF of Numerators i.e. for 6705,2190 is 15

LCM of denominators i.e. for 18,833 is 14994.

Thus, GCF of Fractions is 15/14994.Finally, GCF of Fractions for 6705/18, 2190/833 is 15/14994.