Greatest Common Factor of 4878/484, 9393/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4878/484, 9393/658

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 4878/484,9393/658

Given fractions are 4878/484,9393/658

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 4878,9393

Greatest Common Factor of Numerators i.e. GCF of 4878,9393 is 3 .

LCM of Denominators means LCM of 484,658 as per the given fractions.

LCM of 484,658 is 159236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4878,9393

GCF of Fractions 4878/484,9393/658 is 3/159236

3 4878, 9393
1626, 3131

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

Greatest Common Factor of 4878,9393 By Matching Biggest Common Factor Method

Greatest Common Factor of 4878,9393 By Matching Biggest Common Factor Method

Factors of 4878

List of positive integer factors of 4878 that divides 4878 without a remainder.

1,2,3,6,9,18,271,542,813,1626,2439,4878

Factors of 9393

List of positive integer factors of 9393 that divides 9393 without a remainder.

1,3,31,93,101,303,3131,9393

Greatest Common Factor

We found the factors 4878,9393 . The biggest common factor number is the GCF number.
So the greatest common factor 4878,9393 is 3.

Lets's calculate LCM of 484,658

2 484, 658
242, 329

∴ So the LCM of the given numbers is 2 x 242 x 329 = 159236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/159236

Therefore, the GCF of Fractions 4878/484,9393/658 is 3/159236

Least Common Multiple of 484,658 with GCF Formula

Least Common Multiple of 484,658 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 484,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,658) = 2

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

GCF(484,658) x common factors =2 x 1 = 2

LCM(484,658) = ( 484 × 658 ) / 2

LCM(484,658) = 318472 / 2

LCM(484,658) = 159236


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 4878/484, 9393/658

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 4878/484, 9393/658?

Answer: GCF of Numerators as per given numbers 4878/484, 9393/658 is

GCF of Numerators i.e. for 4878,9393 is 3

LCM of denominators i.e. for 484,658 is 159236.

Thus, GCF of Fractions is 3/159236.Finally, GCF of Fractions for 4878/484, 9393/658 is 3/159236.