Greatest Common Factor of 410/27, 808/3480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 410/27, 808/3480

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 410/27,808/3480

Given fractions are 410/27,808/3480

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 410,808

Greatest Common Factor of Numerators i.e. GCF of 410,808 is 2 .

LCM of Denominators means LCM of 27,3480 as per the given fractions.

LCM of 27,3480 is 31320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 410,808

GCF of Fractions 410/27,808/3480 is 2/31320

2 410, 808
205, 404

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

Greatest Common Factor of 410,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,808 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 410,808 . The biggest common factor number is the GCF number.
So the greatest common factor 410,808 is 2.

Lets's calculate LCM of 27,3480

3 27, 3480
9, 1160

∴ So the LCM of the given numbers is 3 x 9 x 1160 = 31320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31320

Therefore, the GCF of Fractions 410/27,808/3480 is 2/31320

Least Common Multiple of 27,3480 with GCF Formula

Least Common Multiple of 27,3480 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 27,3480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,3480) = 3

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

GCF(27,3480) x common factors =3 x 1 = 3

LCM(27,3480) = ( 27 × 3480 ) / 3

LCM(27,3480) = 93960 / 3

LCM(27,3480) = 31320


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 410/27, 808/3480

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 410/27, 808/3480?

Answer: GCF of Numerators as per given numbers 410/27, 808/3480 is

GCF of Numerators i.e. for 410,808 is 2

LCM of denominators i.e. for 27,3480 is 31320.

Thus, GCF of Fractions is 2/31320.Finally, GCF of Fractions for 410/27, 808/3480 is 2/31320.