Greatest Common Factor of 5337/46, 6327/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5337/46, 6327/830

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 5337/46,6327/830

Given fractions are 5337/46,6327/830

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 5337,6327

Greatest Common Factor of Numerators i.e. GCF of 5337,6327 is 9 .

LCM of Denominators means LCM of 46,830 as per the given fractions.

LCM of 46,830 is 19090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5337,6327

GCF of Fractions 5337/46,6327/830 is 9/19090

3 5337, 6327
3 1779, 2109
593, 703

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5337,6327 By Matching Biggest Common Factor Method

Greatest Common Factor of 5337,6327 By Matching Biggest Common Factor Method

Factors of 5337

List of positive integer factors of 5337 that divides 5337 without a remainder.

1,3,9,593,1779,5337

Factors of 6327

List of positive integer factors of 6327 that divides 6327 without a remainder.

1,3,9,19,37,57,111,171,333,703,2109,6327

Greatest Common Factor

We found the factors 5337,6327 . The biggest common factor number is the GCF number.
So the greatest common factor 5337,6327 is 9.

Lets's calculate LCM of 46,830

2 46, 830
23, 415

∴ So the LCM of the given numbers is 2 x 23 x 415 = 19090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/19090

Therefore, the GCF of Fractions 5337/46,6327/830 is 9/19090

Least Common Multiple of 46,830 with GCF Formula

Least Common Multiple of 46,830 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 46,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,830) = 2

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

GCF(46,830) x common factors =2 x 1 = 2

LCM(46,830) = ( 46 × 830 ) / 2

LCM(46,830) = 38180 / 2

LCM(46,830) = 19090


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 5337/46, 6327/830

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 5337/46, 6327/830?

Answer: GCF of Numerators as per given numbers 5337/46, 6327/830 is

GCF of Numerators i.e. for 5337,6327 is 9

LCM of denominators i.e. for 46,830 is 19090.

Thus, GCF of Fractions is 9/19090.Finally, GCF of Fractions for 5337/46, 6327/830 is 9/19090.