Greatest Common Factor of 208/13, 210/9630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 208/13, 210/9630

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 208/13,210/9630

Given fractions are 208/13,210/9630

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 208,210

Greatest Common Factor of Numerators i.e. GCF of 208,210 is 2 .

LCM of Denominators means LCM of 13,9630 as per the given fractions.

LCM of 13,9630 is 125190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,210

GCF of Fractions 208/13,210/9630 is 2/125190

2 208, 210
104, 105

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

Greatest Common Factor of 208,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,210 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 208,210 . The biggest common factor number is the GCF number.
So the greatest common factor 208,210 is 2.


Lets's calculate LCM of 13,9630

Given numbers has no common factors except 1. So, there LCM is their product i.e 125190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/125190

Therefore, the GCF of Fractions 208/13,210/9630 is 2/125190

Least Common Multiple of 13,9630 with GCF Formula

Least Common Multiple of 13,9630 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 13,9630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,9630) = 1

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

GCF(13,9630) x common factors =1 x 1 = 1

LCM(13,9630) = ( 13 × 9630 ) / 1

LCM(13,9630) = 125190 / 1

LCM(13,9630) = 125190


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 208/13, 210/9630

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 208/13, 210/9630?

Answer: GCF of Numerators as per given numbers 208/13, 210/9630 is

GCF of Numerators i.e. for 208,210 is 2

LCM of denominators i.e. for 13,9630 is 125190.

Thus, GCF of Fractions is 2/125190.Finally, GCF of Fractions for 208/13, 210/9630 is 2/125190.