Greatest Common Factor of 2055/83, 5679/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2055/83, 5679/211

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 2055/83,5679/211

Given fractions are 2055/83,5679/211

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 2055,5679

Greatest Common Factor of Numerators i.e. GCF of 2055,5679 is 3 .

LCM of Denominators means LCM of 83,211 as per the given fractions.

LCM of 83,211 is 17513 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2055,5679

GCF of Fractions 2055/83,5679/211 is 3/17513

3 2055, 5679
685, 1893

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2055,5679 By Matching Biggest Common Factor Method

Greatest Common Factor of 2055,5679 By Matching Biggest Common Factor Method

Factors of 2055

List of positive integer factors of 2055 that divides 2055 without a remainder.

1,3,5,15,137,411,685,2055

Factors of 5679

List of positive integer factors of 5679 that divides 5679 without a remainder.

1,3,9,631,1893,5679

Greatest Common Factor

We found the factors 2055,5679 . The biggest common factor number is the GCF number.
So the greatest common factor 2055,5679 is 3.

Lets's calculate LCM of 83,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 17513

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17513

Therefore, the GCF of Fractions 2055/83,5679/211 is 3/17513

Least Common Multiple of 83,211 with GCF Formula

Least Common Multiple of 83,211 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 83,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,211) = 1

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

GCF(83,211) x common factors =1 x 1 = 1

LCM(83,211) = ( 83 × 211 ) / 1

LCM(83,211) = 17513 / 1

LCM(83,211) = 17513


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 2055/83, 5679/211

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 2055/83, 5679/211?

Answer: GCF of Numerators as per given numbers 2055/83, 5679/211 is

GCF of Numerators i.e. for 2055,5679 is 3

LCM of denominators i.e. for 83,211 is 17513.

Thus, GCF of Fractions is 3/17513.Finally, GCF of Fractions for 2055/83, 5679/211 is 3/17513.