Greatest Common Factor of 396/618, 4878/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/618, 4878/782

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 396/618,4878/782

Given fractions are 396/618,4878/782

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 396,4878

Greatest Common Factor of Numerators i.e. GCF of 396,4878 is 18 .

LCM of Denominators means LCM of 618,782 as per the given fractions.

LCM of 618,782 is 241638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,4878

GCF of Fractions 396/618,4878/782 is 18/241638

2 396, 4878
3 198, 2439
3 66, 813
22, 271

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 396,4878 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,4878 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

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

Greatest Common Factor

We found the factors 396,4878 . The biggest common factor number is the GCF number.
So the greatest common factor 396,4878 is 18.

Lets's calculate LCM of 618,782

2 618, 782
309, 391

∴ So the LCM of the given numbers is 2 x 309 x 391 = 241638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/241638

Therefore, the GCF of Fractions 396/618,4878/782 is 18/241638

Least Common Multiple of 618,782 with GCF Formula

Least Common Multiple of 618,782 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 618,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,782) = 2

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

GCF(618,782) x common factors =2 x 1 = 2

LCM(618,782) = ( 618 × 782 ) / 2

LCM(618,782) = 483276 / 2

LCM(618,782) = 241638


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 396/618, 4878/782

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 396/618, 4878/782?

Answer: GCF of Numerators as per given numbers 396/618, 4878/782 is

GCF of Numerators i.e. for 396,4878 is 18

LCM of denominators i.e. for 618,782 is 241638.

Thus, GCF of Fractions is 18/241638.Finally, GCF of Fractions for 396/618, 4878/782 is 18/241638.