Greatest Common Factor of 4662/500, 8286/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4662/500, 8286/798

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 4662/500,8286/798

Given fractions are 4662/500,8286/798

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 4662,8286

Greatest Common Factor of Numerators i.e. GCF of 4662,8286 is 6 .

LCM of Denominators means LCM of 500,798 as per the given fractions.

LCM of 500,798 is 199500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4662,8286

GCF of Fractions 4662/500,8286/798 is 6/199500

2 4662, 8286
3 2331, 4143
777, 1381

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

Greatest Common Factor of 4662,8286 By Matching Biggest Common Factor Method

Greatest Common Factor of 4662,8286 By Matching Biggest Common Factor Method

Factors of 4662

List of positive integer factors of 4662 that divides 4662 without a remainder.

1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662

Factors of 8286

List of positive integer factors of 8286 that divides 8286 without a remainder.

1,2,3,6,1381,2762,4143,8286

Greatest Common Factor

We found the factors 4662,8286 . The biggest common factor number is the GCF number.
So the greatest common factor 4662,8286 is 6.

Lets's calculate LCM of 500,798

2 500, 798
250, 399

∴ So the LCM of the given numbers is 2 x 250 x 399 = 199500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/199500

Therefore, the GCF of Fractions 4662/500,8286/798 is 6/199500

Least Common Multiple of 500,798 with GCF Formula

Least Common Multiple of 500,798 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 500,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,798) = 2

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

GCF(500,798) x common factors =2 x 1 = 2

LCM(500,798) = ( 500 × 798 ) / 2

LCM(500,798) = 399000 / 2

LCM(500,798) = 199500


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 4662/500, 8286/798

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 4662/500, 8286/798?

Answer: GCF of Numerators as per given numbers 4662/500, 8286/798 is

GCF of Numerators i.e. for 4662,8286 is 6

LCM of denominators i.e. for 500,798 is 199500.

Thus, GCF of Fractions is 6/199500.Finally, GCF of Fractions for 4662/500, 8286/798 is 6/199500.