Greatest Common Factor of 2083/209, 8779/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2083/209, 8779/143

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 2083/209,8779/143

Given fractions are 2083/209,8779/143

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 2083,8779

Greatest Common Factor of Numerators i.e. GCF of 2083,8779 is 1 .

LCM of Denominators means LCM of 209,143 as per the given fractions.

LCM of 209,143 is 2717 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2083,8779

GCF of Fractions 2083/209,8779/143 is 1/2717

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

Greatest Common Factor of 2083,8779 By Matching Biggest Common Factor Method

Greatest Common Factor of 2083,8779 By Matching Biggest Common Factor Method

Factors of 2083

List of positive integer factors of 2083 that divides 2083 without a remainder.

1,2083

Factors of 8779

List of positive integer factors of 8779 that divides 8779 without a remainder.

1,8779

Greatest Common Factor

We found the factors 2083,8779 . The biggest common factor number is the GCF number.
So the greatest common factor 2083,8779 is 1.

Lets's calculate LCM of 209,143

11 209, 143
19, 13

∴ So the LCM of the given numbers is 11 x 19 x 13 = 2717

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2717

Therefore, the GCF of Fractions 2083/209,8779/143 is 1/2717

Least Common Multiple of 209,143 with GCF Formula

Least Common Multiple of 209,143 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 209,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,143) = 11

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

GCF(209,143) x common factors =11 x 1 = 11

LCM(209,143) = ( 209 × 143 ) / 11

LCM(209,143) = 29887 / 11

LCM(209,143) = 2717


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 2083/209, 8779/143

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 2083/209, 8779/143?

Answer: GCF of Numerators as per given numbers 2083/209, 8779/143 is

GCF of Numerators i.e. for 2083,8779 is 1

LCM of denominators i.e. for 209,143 is 2717.

Thus, GCF of Fractions is 1/2717.Finally, GCF of Fractions for 2083/209, 8779/143 is 1/2717.