Greatest Common Factor of 2681/26, 3399/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2681/26, 3399/500

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 2681/26,3399/500

Given fractions are 2681/26,3399/500

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 2681,3399

Greatest Common Factor of Numerators i.e. GCF of 2681,3399 is 1 .

LCM of Denominators means LCM of 26,500 as per the given fractions.

LCM of 26,500 is 6500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2681,3399

GCF of Fractions 2681/26,3399/500 is 1/6500

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

Greatest Common Factor of 2681,3399 By Matching Biggest Common Factor Method

Greatest Common Factor of 2681,3399 By Matching Biggest Common Factor Method

Factors of 2681

List of positive integer factors of 2681 that divides 2681 without a remainder.

1,7,383,2681

Factors of 3399

List of positive integer factors of 3399 that divides 3399 without a remainder.

1,3,11,33,103,309,1133,3399

Greatest Common Factor

We found the factors 2681,3399 . The biggest common factor number is the GCF number.
So the greatest common factor 2681,3399 is 1.


Lets's calculate LCM of 26,500

2 26, 500
13, 250

∴ So the LCM of the given numbers is 2 x 13 x 250 = 6500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6500

Therefore, the GCF of Fractions 2681/26,3399/500 is 1/6500

Least Common Multiple of 26,500 with GCF Formula

Least Common Multiple of 26,500 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 26,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,500) = 2

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

GCF(26,500) x common factors =2 x 1 = 2

LCM(26,500) = ( 26 × 500 ) / 2

LCM(26,500) = 13000 / 2

LCM(26,500) = 6500


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2681/26, 3399/500

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 2681/26, 3399/500?

Answer: GCF of Numerators as per given numbers 2681/26, 3399/500 is

GCF of Numerators i.e. for 2681,3399 is 1

LCM of denominators i.e. for 26,500 is 6500.

Thus, GCF of Fractions is 1/6500.Finally, GCF of Fractions for 2681/26, 3399/500 is 1/6500.