Greatest Common Factor of 2893/69, 3340/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2893/69, 3340/209

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 2893/69,3340/209

Given fractions are 2893/69,3340/209

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 2893,3340

Greatest Common Factor of Numerators i.e. GCF of 2893,3340 is 1 .

LCM of Denominators means LCM of 69,209 as per the given fractions.

LCM of 69,209 is 14421 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2893,3340

GCF of Fractions 2893/69,3340/209 is 1/14421

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2893,3340 By Matching Biggest Common Factor Method

Greatest Common Factor of 2893,3340 By Matching Biggest Common Factor Method

Factors of 2893

List of positive integer factors of 2893 that divides 2893 without a remainder.

1,11,263,2893

Factors of 3340

List of positive integer factors of 3340 that divides 3340 without a remainder.

1,2,4,5,10,20,167,334,668,835,1670,3340

Greatest Common Factor

We found the factors 2893,3340 . The biggest common factor number is the GCF number.
So the greatest common factor 2893,3340 is 1.


Lets's calculate LCM of 69,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 14421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14421

Therefore, the GCF of Fractions 2893/69,3340/209 is 1/14421

Least Common Multiple of 69,209 with GCF Formula

Least Common Multiple of 69,209 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 69,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,209) = 1

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

GCF(69,209) x common factors =1 x 1 = 1

LCM(69,209) = ( 69 × 209 ) / 1

LCM(69,209) = 14421 / 1

LCM(69,209) = 14421


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 2893/69, 3340/209

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 2893/69, 3340/209?

Answer: GCF of Numerators as per given numbers 2893/69, 3340/209 is

GCF of Numerators i.e. for 2893,3340 is 1

LCM of denominators i.e. for 69,209 is 14421.

Thus, GCF of Fractions is 1/14421.Finally, GCF of Fractions for 2893/69, 3340/209 is 1/14421.