Greatest Common Factor of 8205/485, 2065/2112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8205/485, 2065/2112

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 8205/485,2065/2112

Given fractions are 8205/485,2065/2112

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 8205,2065

Greatest Common Factor of Numerators i.e. GCF of 8205,2065 is 5 .

LCM of Denominators means LCM of 485,2112 as per the given fractions.

LCM of 485,2112 is 1024320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8205,2065

GCF of Fractions 8205/485,2065/2112 is 5/1024320

5 8205, 2065
1641, 413

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8205,2065 By Matching Biggest Common Factor Method

Greatest Common Factor of 8205,2065 By Matching Biggest Common Factor Method

Factors of 8205

List of positive integer factors of 8205 that divides 8205 without a remainder.

1,3,5,15,547,1641,2735,8205

Factors of 2065

List of positive integer factors of 2065 that divides 2065 without a remainder.

1,5,7,35,59,295,413,2065

Greatest Common Factor

We found the factors 8205,2065 . The biggest common factor number is the GCF number.
So the greatest common factor 8205,2065 is 5.

Lets's calculate LCM of 485,2112

Given numbers has no common factors except 1. So, there LCM is their product i.e 1024320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1024320

Therefore, the GCF of Fractions 8205/485,2065/2112 is 5/1024320

Least Common Multiple of 485,2112 with GCF Formula

Least Common Multiple of 485,2112 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 485,2112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,2112) = 1

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

GCF(485,2112) x common factors =1 x 1 = 1

LCM(485,2112) = ( 485 × 2112 ) / 1

LCM(485,2112) = 1024320 / 1

LCM(485,2112) = 1024320


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 8205/485, 2065/2112

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 8205/485, 2065/2112?

Answer: GCF of Numerators as per given numbers 8205/485, 2065/2112 is

GCF of Numerators i.e. for 8205,2065 is 5

LCM of denominators i.e. for 485,2112 is 1024320.

Thus, GCF of Fractions is 5/1024320.Finally, GCF of Fractions for 8205/485, 2065/2112 is 5/1024320.