Greatest Common Factor of 2941/99, 5409/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2941/99, 5409/348

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 2941/99,5409/348

Given fractions are 2941/99,5409/348

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 2941,5409

Greatest Common Factor of Numerators i.e. GCF of 2941,5409 is 1 .

LCM of Denominators means LCM of 99,348 as per the given fractions.

LCM of 99,348 is 11484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2941,5409

GCF of Fractions 2941/99,5409/348 is 1/11484

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

Greatest Common Factor of 2941,5409 By Matching Biggest Common Factor Method

Greatest Common Factor of 2941,5409 By Matching Biggest Common Factor Method

Factors of 2941

List of positive integer factors of 2941 that divides 2941 without a remainder.

1,17,173,2941

Factors of 5409

List of positive integer factors of 5409 that divides 5409 without a remainder.

1,3,9,601,1803,5409

Greatest Common Factor

We found the factors 2941,5409 . The biggest common factor number is the GCF number.
So the greatest common factor 2941,5409 is 1.

Lets's calculate LCM of 99,348

3 99, 348
33, 116

∴ So the LCM of the given numbers is 3 x 33 x 116 = 11484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11484

Therefore, the GCF of Fractions 2941/99,5409/348 is 1/11484

Least Common Multiple of 99,348 with GCF Formula

Least Common Multiple of 99,348 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 99,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,348) = 3

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

GCF(99,348) x common factors =3 x 1 = 3

LCM(99,348) = ( 99 × 348 ) / 3

LCM(99,348) = 34452 / 3

LCM(99,348) = 11484


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 2941/99, 5409/348

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 2941/99, 5409/348?

Answer: GCF of Numerators as per given numbers 2941/99, 5409/348 is

GCF of Numerators i.e. for 2941,5409 is 1

LCM of denominators i.e. for 99,348 is 11484.

Thus, GCF of Fractions is 1/11484.Finally, GCF of Fractions for 2941/99, 5409/348 is 1/11484.