Greatest Common Factor of 5527/489, 3132/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5527/489, 3132/879

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 5527/489,3132/879

Given fractions are 5527/489,3132/879

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 5527,3132

Greatest Common Factor of Numerators i.e. GCF of 5527,3132 is 1 .

LCM of Denominators means LCM of 489,879 as per the given fractions.

LCM of 489,879 is 143277 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5527,3132

GCF of Fractions 5527/489,3132/879 is 1/143277

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

Greatest Common Factor of 5527,3132 By Matching Biggest Common Factor Method

Greatest Common Factor of 5527,3132 By Matching Biggest Common Factor Method

Factors of 5527

List of positive integer factors of 5527 that divides 5527 without a remainder.

1,5527

Factors of 3132

List of positive integer factors of 3132 that divides 3132 without a remainder.

1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132

Greatest Common Factor

We found the factors 5527,3132 . The biggest common factor number is the GCF number.
So the greatest common factor 5527,3132 is 1.

Lets's calculate LCM of 489,879

3 489, 879
163, 293

∴ So the LCM of the given numbers is 3 x 163 x 293 = 143277

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143277

Therefore, the GCF of Fractions 5527/489,3132/879 is 1/143277

Least Common Multiple of 489,879 with GCF Formula

Least Common Multiple of 489,879 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 489,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,879) = 3

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

GCF(489,879) x common factors =3 x 1 = 3

LCM(489,879) = ( 489 × 879 ) / 3

LCM(489,879) = 429831 / 3

LCM(489,879) = 143277


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 5527/489, 3132/879

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 5527/489, 3132/879?

Answer: GCF of Numerators as per given numbers 5527/489, 3132/879 is

GCF of Numerators i.e. for 5527,3132 is 1

LCM of denominators i.e. for 489,879 is 143277.

Thus, GCF of Fractions is 1/143277.Finally, GCF of Fractions for 5527/489, 3132/879 is 1/143277.