Greatest Common Factor of 208/473, 3008/2405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/473, 3008/2405

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 208/473,3008/2405

Given fractions are 208/473,3008/2405

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 208,3008

Greatest Common Factor of Numerators i.e. GCF of 208,3008 is 16 .

LCM of Denominators means LCM of 473,2405 as per the given fractions.

LCM of 473,2405 is 1137565 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,3008

GCF of Fractions 208/473,3008/2405 is 16/1137565

2 208, 3008
2 104, 1504
2 52, 752
2 26, 376
13, 188

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 208,3008 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,3008 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 3008

List of positive integer factors of 3008 that divides 3008 without a remainder.

1,2,4,8,16,32,47,64,94,188,376,752,1504,3008

Greatest Common Factor

We found the factors 208,3008 . The biggest common factor number is the GCF number.
So the greatest common factor 208,3008 is 16.

Lets's calculate LCM of 473,2405

Given numbers has no common factors except 1. So, there LCM is their product i.e 1137565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1137565

Therefore, the GCF of Fractions 208/473,3008/2405 is 16/1137565

Least Common Multiple of 473,2405 with GCF Formula

Least Common Multiple of 473,2405 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 473,2405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,2405) = 1

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

GCF(473,2405) x common factors =1 x 1 = 1

LCM(473,2405) = ( 473 × 2405 ) / 1

LCM(473,2405) = 1137565 / 1

LCM(473,2405) = 1137565


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 208/473, 3008/2405

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 208/473, 3008/2405?

Answer: GCF of Numerators as per given numbers 208/473, 3008/2405 is

GCF of Numerators i.e. for 208,3008 is 16

LCM of denominators i.e. for 473,2405 is 1137565.

Thus, GCF of Fractions is 16/1137565.Finally, GCF of Fractions for 208/473, 3008/2405 is 16/1137565.