Greatest Common Factor of 5324/489, 3344/6159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5324/489, 3344/6159

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 5324/489,3344/6159

Given fractions are 5324/489,3344/6159

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 5324,3344

Greatest Common Factor of Numerators i.e. GCF of 5324,3344 is 44 .

LCM of Denominators means LCM of 489,6159 as per the given fractions.

LCM of 489,6159 is 1003917 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5324,3344

GCF of Fractions 5324/489,3344/6159 is 44/1003917

2 5324, 3344
2 2662, 1672
11 1331, 836
121, 76

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 5324,3344 By Matching Biggest Common Factor Method

Greatest Common Factor of 5324,3344 By Matching Biggest Common Factor Method

Factors of 5324

List of positive integer factors of 5324 that divides 5324 without a remainder.

1,2,4,11,22,44,121,242,484,1331,2662,5324

Factors of 3344

List of positive integer factors of 3344 that divides 3344 without a remainder.

1,2,4,8,11,16,19,22,38,44,76,88,152,176,209,304,418,836,1672,3344

Greatest Common Factor

We found the factors 5324,3344 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,3344 is 44.

Lets's calculate LCM of 489,6159

3 489, 6159
163, 2053

∴ So the LCM of the given numbers is 3 x 163 x 2053 = 1003917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/1003917

Therefore, the GCF of Fractions 5324/489,3344/6159 is 44/1003917

Least Common Multiple of 489,6159 with GCF Formula

Least Common Multiple of 489,6159 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 489,6159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,6159) = 3

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

GCF(489,6159) x common factors =3 x 1 = 3

LCM(489,6159) = ( 489 × 6159 ) / 3

LCM(489,6159) = 3011751 / 3

LCM(489,6159) = 1003917


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 5324/489, 3344/6159

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 5324/489, 3344/6159?

Answer: GCF of Numerators as per given numbers 5324/489, 3344/6159 is

GCF of Numerators i.e. for 5324,3344 is 44

LCM of denominators i.e. for 489,6159 is 1003917.

Thus, GCF of Fractions is 44/1003917.Finally, GCF of Fractions for 5324/489, 3344/6159 is 44/1003917.