Greatest Common Factor of 349/5844, 589/7323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 349/5844, 589/7323

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 349/5844,589/7323

Given fractions are 349/5844,589/7323

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 349,589

Greatest Common Factor of Numerators i.e. GCF of 349,589 is 1 .

LCM of Denominators means LCM of 5844,7323 as per the given fractions.

LCM of 5844,7323 is 14265204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 349,589

GCF of Fractions 349/5844,589/7323 is 1/14265204

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

Greatest Common Factor of 349,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,589 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 349,589 . The biggest common factor number is the GCF number.
So the greatest common factor 349,589 is 1.

Lets's calculate LCM of 5844,7323

3 5844, 7323
1948, 2441

∴ So the LCM of the given numbers is 3 x 1948 x 2441 = 14265204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14265204

Therefore, the GCF of Fractions 349/5844,589/7323 is 1/14265204

Least Common Multiple of 5844,7323 with GCF Formula

Least Common Multiple of 5844,7323 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 5844,7323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5844,7323) = 3

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

GCF(5844,7323) x common factors =3 x 1 = 3

LCM(5844,7323) = ( 5844 × 7323 ) / 3

LCM(5844,7323) = 42795612 / 3

LCM(5844,7323) = 14265204


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 349/5844, 589/7323

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 349/5844, 589/7323?

Answer: GCF of Numerators as per given numbers 349/5844, 589/7323 is

GCF of Numerators i.e. for 349,589 is 1

LCM of denominators i.e. for 5844,7323 is 14265204.

Thus, GCF of Fractions is 1/14265204.Finally, GCF of Fractions for 349/5844, 589/7323 is 1/14265204.