Greatest Common Factor of 808/31, 540/8672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 808/31, 540/8672

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 808/31,540/8672

Given fractions are 808/31,540/8672

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 808,540

Greatest Common Factor of Numerators i.e. GCF of 808,540 is 4 .

LCM of Denominators means LCM of 31,8672 as per the given fractions.

LCM of 31,8672 is 268832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 808,540

GCF of Fractions 808/31,540/8672 is 4/268832

2 808, 540
2 404, 270
202, 135

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 808,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,540 By Matching Biggest Common Factor Method

Factors of 808

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

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

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 808,540 . The biggest common factor number is the GCF number.
So the greatest common factor 808,540 is 4.

Lets's calculate LCM of 31,8672

Given numbers has no common factors except 1. So, there LCM is their product i.e 268832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/268832

Therefore, the GCF of Fractions 808/31,540/8672 is 4/268832

Least Common Multiple of 31,8672 with GCF Formula

Least Common Multiple of 31,8672 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 31,8672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,8672) = 1

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

GCF(31,8672) x common factors =1 x 1 = 1

LCM(31,8672) = ( 31 × 8672 ) / 1

LCM(31,8672) = 268832 / 1

LCM(31,8672) = 268832


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 808/31, 540/8672

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 808/31, 540/8672?

Answer: GCF of Numerators as per given numbers 808/31, 540/8672 is

GCF of Numerators i.e. for 808,540 is 4

LCM of denominators i.e. for 31,8672 is 268832.

Thus, GCF of Fractions is 4/268832.Finally, GCF of Fractions for 808/31, 540/8672 is 4/268832.