Greatest Common Factor of 2916/462, 8413/7878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2916/462, 8413/7878

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 2916/462,8413/7878

Given fractions are 2916/462,8413/7878

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 2916,8413

Greatest Common Factor of Numerators i.e. GCF of 2916,8413 is 1 .

LCM of Denominators means LCM of 462,7878 as per the given fractions.

LCM of 462,7878 is 606606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2916,8413

GCF of Fractions 2916/462,8413/7878 is 1/606606

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

Greatest Common Factor of 2916,8413 By Matching Biggest Common Factor Method

Greatest Common Factor of 2916,8413 By Matching Biggest Common Factor Method

Factors of 2916

List of positive integer factors of 2916 that divides 2916 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2916

Factors of 8413

List of positive integer factors of 8413 that divides 8413 without a remainder.

1,47,179,8413

Greatest Common Factor

We found the factors 2916,8413 . The biggest common factor number is the GCF number.
So the greatest common factor 2916,8413 is 1.

Lets's calculate LCM of 462,7878

2 462, 7878
3 231, 3939
77, 1313

∴ So the LCM of the given numbers is 2 x 3 x 77 x 1313 = 606606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606606

Therefore, the GCF of Fractions 2916/462,8413/7878 is 1/606606

Least Common Multiple of 462,7878 with GCF Formula

Least Common Multiple of 462,7878 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 462,7878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,7878) = 6

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

GCF(462,7878) x common factors =6 x 1 = 6

LCM(462,7878) = ( 462 × 7878 ) / 6

LCM(462,7878) = 3639636 / 6

LCM(462,7878) = 606606


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 2916/462, 8413/7878

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 2916/462, 8413/7878?

Answer: GCF of Numerators as per given numbers 2916/462, 8413/7878 is

GCF of Numerators i.e. for 2916,8413 is 1

LCM of denominators i.e. for 462,7878 is 606606.

Thus, GCF of Fractions is 1/606606.Finally, GCF of Fractions for 2916/462, 8413/7878 is 1/606606.