Greatest Common Factor of 8300/59, 2105/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8300/59, 2105/204

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 8300/59,2105/204

Given fractions are 8300/59,2105/204

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 8300,2105

Greatest Common Factor of Numerators i.e. GCF of 8300,2105 is 5 .

LCM of Denominators means LCM of 59,204 as per the given fractions.

LCM of 59,204 is 12036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8300,2105

GCF of Fractions 8300/59,2105/204 is 5/12036

5 8300, 2105
1660, 421

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

Greatest Common Factor of 8300,2105 By Matching Biggest Common Factor Method

Greatest Common Factor of 8300,2105 By Matching Biggest Common Factor Method

Factors of 8300

List of positive integer factors of 8300 that divides 8300 without a remainder.

1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300

Factors of 2105

List of positive integer factors of 2105 that divides 2105 without a remainder.

1,5,421,2105

Greatest Common Factor

We found the factors 8300,2105 . The biggest common factor number is the GCF number.
So the greatest common factor 8300,2105 is 5.

Lets's calculate LCM of 59,204

Given numbers has no common factors except 1. So, there LCM is their product i.e 12036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/12036

Therefore, the GCF of Fractions 8300/59,2105/204 is 5/12036

Least Common Multiple of 59,204 with GCF Formula

Least Common Multiple of 59,204 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 59,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,204) = 1

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

GCF(59,204) x common factors =1 x 1 = 1

LCM(59,204) = ( 59 × 204 ) / 1

LCM(59,204) = 12036 / 1

LCM(59,204) = 12036


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 8300/59, 2105/204

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 8300/59, 2105/204?

Answer: GCF of Numerators as per given numbers 8300/59, 2105/204 is

GCF of Numerators i.e. for 8300,2105 is 5

LCM of denominators i.e. for 59,204 is 12036.

Thus, GCF of Fractions is 5/12036.Finally, GCF of Fractions for 8300/59, 2105/204 is 5/12036.