Greatest Common Factor of 4086/484, 8814/4365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4086/484, 8814/4365

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 4086/484,8814/4365

Given fractions are 4086/484,8814/4365

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 4086,8814

Greatest Common Factor of Numerators i.e. GCF of 4086,8814 is 6 .

LCM of Denominators means LCM of 484,4365 as per the given fractions.

LCM of 484,4365 is 2112660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4086,8814

GCF of Fractions 4086/484,8814/4365 is 6/2112660

2 4086, 8814
3 2043, 4407
681, 1469

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4086,8814 By Matching Biggest Common Factor Method

Greatest Common Factor of 4086,8814 By Matching Biggest Common Factor Method

Factors of 4086

List of positive integer factors of 4086 that divides 4086 without a remainder.

1,2,3,6,9,18,227,454,681,1362,2043,4086

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Greatest Common Factor

We found the factors 4086,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 4086,8814 is 6.

Lets's calculate LCM of 484,4365

Given numbers has no common factors except 1. So, there LCM is their product i.e 2112660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2112660

Therefore, the GCF of Fractions 4086/484,8814/4365 is 6/2112660

Least Common Multiple of 484,4365 with GCF Formula

Least Common Multiple of 484,4365 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 484,4365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,4365) = 1

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

GCF(484,4365) x common factors =1 x 1 = 1

LCM(484,4365) = ( 484 × 4365 ) / 1

LCM(484,4365) = 2112660 / 1

LCM(484,4365) = 2112660


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 4086/484, 8814/4365

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 4086/484, 8814/4365?

Answer: GCF of Numerators as per given numbers 4086/484, 8814/4365 is

GCF of Numerators i.e. for 4086,8814 is 6

LCM of denominators i.e. for 484,4365 is 2112660.

Thus, GCF of Fractions is 6/2112660.Finally, GCF of Fractions for 4086/484, 8814/4365 is 6/2112660.