Greatest Common Factor of 2951/489, 5124/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2951/489, 5124/657

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 2951/489,5124/657

Given fractions are 2951/489,5124/657

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 2951,5124

Greatest Common Factor of Numerators i.e. GCF of 2951,5124 is 1 .

LCM of Denominators means LCM of 489,657 as per the given fractions.

LCM of 489,657 is 107091 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2951,5124

GCF of Fractions 2951/489,5124/657 is 1/107091

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

Greatest Common Factor of 2951,5124 By Matching Biggest Common Factor Method

Greatest Common Factor of 2951,5124 By Matching Biggest Common Factor Method

Factors of 2951

List of positive integer factors of 2951 that divides 2951 without a remainder.

1,13,227,2951

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Greatest Common Factor

We found the factors 2951,5124 . The biggest common factor number is the GCF number.
So the greatest common factor 2951,5124 is 1.

Lets's calculate LCM of 489,657

3 489, 657
163, 219

∴ So the LCM of the given numbers is 3 x 163 x 219 = 107091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107091

Therefore, the GCF of Fractions 2951/489,5124/657 is 1/107091

Least Common Multiple of 489,657 with GCF Formula

Least Common Multiple of 489,657 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 489,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,657) = 3

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

GCF(489,657) x common factors =3 x 1 = 3

LCM(489,657) = ( 489 × 657 ) / 3

LCM(489,657) = 321273 / 3

LCM(489,657) = 107091


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 2951/489, 5124/657

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 2951/489, 5124/657?

Answer: GCF of Numerators as per given numbers 2951/489, 5124/657 is

GCF of Numerators i.e. for 2951,5124 is 1

LCM of denominators i.e. for 489,657 is 107091.

Thus, GCF of Fractions is 1/107091.Finally, GCF of Fractions for 2951/489, 5124/657 is 1/107091.