Greatest Common Factor of 5808/330, 8701/2431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5808/330, 8701/2431

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 5808/330,8701/2431

Given fractions are 5808/330,8701/2431

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 5808,8701

Greatest Common Factor of Numerators i.e. GCF of 5808,8701 is 11 .

LCM of Denominators means LCM of 330,2431 as per the given fractions.

LCM of 330,2431 is 72930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5808,8701

GCF of Fractions 5808/330,8701/2431 is 11/72930

11 5808, 8701
528, 791

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5808,8701 By Matching Biggest Common Factor Method

Greatest Common Factor of 5808,8701 By Matching Biggest Common Factor Method

Factors of 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808

Factors of 8701

List of positive integer factors of 8701 that divides 8701 without a remainder.

1,7,11,77,113,791,1243,8701

Greatest Common Factor

We found the factors 5808,8701 . The biggest common factor number is the GCF number.
So the greatest common factor 5808,8701 is 11.

Lets's calculate LCM of 330,2431

11 330, 2431
30, 221

∴ So the LCM of the given numbers is 11 x 30 x 221 = 72930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/72930

Therefore, the GCF of Fractions 5808/330,8701/2431 is 11/72930

Least Common Multiple of 330,2431 with GCF Formula

Least Common Multiple of 330,2431 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 330,2431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,2431) = 11

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

GCF(330,2431) x common factors =11 x 1 = 11

LCM(330,2431) = ( 330 × 2431 ) / 11

LCM(330,2431) = 802230 / 11

LCM(330,2431) = 72930


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 5808/330, 8701/2431

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 5808/330, 8701/2431?

Answer: GCF of Numerators as per given numbers 5808/330, 8701/2431 is

GCF of Numerators i.e. for 5808,8701 is 11

LCM of denominators i.e. for 330,2431 is 72930.

Thus, GCF of Fractions is 11/72930.Finally, GCF of Fractions for 5808/330, 8701/2431 is 11/72930.