Greatest Common Factor of 206/60, 8298/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/60, 8298/465

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 206/60,8298/465

Given fractions are 206/60,8298/465

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 206,8298

Greatest Common Factor of Numerators i.e. GCF of 206,8298 is 2 .

LCM of Denominators means LCM of 60,465 as per the given fractions.

LCM of 60,465 is 1860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,8298

GCF of Fractions 206/60,8298/465 is 2/1860

2 206, 8298
103, 4149

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 206,8298 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,8298 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 8298

List of positive integer factors of 8298 that divides 8298 without a remainder.

1,2,3,6,9,18,461,922,1383,2766,4149,8298

Greatest Common Factor

We found the factors 206,8298 . The biggest common factor number is the GCF number.
So the greatest common factor 206,8298 is 2.

Lets's calculate LCM of 60,465

3 60, 465
5 20, 155
4, 31

∴ So the LCM of the given numbers is 3 x 5 x 4 x 31 = 1860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1860

Therefore, the GCF of Fractions 206/60,8298/465 is 2/1860

Least Common Multiple of 60,465 with GCF Formula

Least Common Multiple of 60,465 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 60,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,465) = 15

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

GCF(60,465) x common factors =15 x 1 = 15

LCM(60,465) = ( 60 × 465 ) / 15

LCM(60,465) = 27900 / 15

LCM(60,465) = 1860


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 206/60, 8298/465

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 206/60, 8298/465?

Answer: GCF of Numerators as per given numbers 206/60, 8298/465 is

GCF of Numerators i.e. for 206,8298 is 2

LCM of denominators i.e. for 60,465 is 1860.

Thus, GCF of Fractions is 2/1860.Finally, GCF of Fractions for 206/60, 8298/465 is 2/1860.