Greatest Common Factor of 2691/99, 2084/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2691/99, 2084/726

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 2691/99,2084/726

Given fractions are 2691/99,2084/726

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 2691,2084

Greatest Common Factor of Numerators i.e. GCF of 2691,2084 is 1 .

LCM of Denominators means LCM of 99,726 as per the given fractions.

LCM of 99,726 is 2178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2691,2084

GCF of Fractions 2691/99,2084/726 is 1/2178

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

Greatest Common Factor of 2691,2084 By Matching Biggest Common Factor Method

Greatest Common Factor of 2691,2084 By Matching Biggest Common Factor Method

Factors of 2691

List of positive integer factors of 2691 that divides 2691 without a remainder.

1,3,9,13,23,39,69,117,207,299,897,2691

Factors of 2084

List of positive integer factors of 2084 that divides 2084 without a remainder.

1,2,4,521,1042,2084

Greatest Common Factor

We found the factors 2691,2084 . The biggest common factor number is the GCF number.
So the greatest common factor 2691,2084 is 1.

Lets's calculate LCM of 99,726

3 99, 726
11 33, 242
3, 22

∴ So the LCM of the given numbers is 3 x 11 x 3 x 22 = 2178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2178

Therefore, the GCF of Fractions 2691/99,2084/726 is 1/2178

Least Common Multiple of 99,726 with GCF Formula

Least Common Multiple of 99,726 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 99,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,726) = 33

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

GCF(99,726) x common factors =33 x 1 = 33

LCM(99,726) = ( 99 × 726 ) / 33

LCM(99,726) = 71874 / 33

LCM(99,726) = 2178


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 2691/99, 2084/726

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 2691/99, 2084/726?

Answer: GCF of Numerators as per given numbers 2691/99, 2084/726 is

GCF of Numerators i.e. for 2691,2084 is 1

LCM of denominators i.e. for 99,726 is 2178.

Thus, GCF of Fractions is 1/2178.Finally, GCF of Fractions for 2691/99, 2084/726 is 1/2178.