Greatest Common Factor of 330/4581, 480/9895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/4581, 480/9895

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 330/4581,480/9895

Given fractions are 330/4581,480/9895

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 330,480

Greatest Common Factor of Numerators i.e. GCF of 330,480 is 30 .

LCM of Denominators means LCM of 4581,9895 as per the given fractions.

LCM of 4581,9895 is 45328995 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,480

GCF of Fractions 330/4581,480/9895 is 30/45328995

2 330, 480
3 165, 240
5 55, 80
11, 16

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 330,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,480 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 330,480 . The biggest common factor number is the GCF number.
So the greatest common factor 330,480 is 30.

Lets's calculate LCM of 4581,9895

Given numbers has no common factors except 1. So, there LCM is their product i.e 45328995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/45328995

Therefore, the GCF of Fractions 330/4581,480/9895 is 30/45328995

Least Common Multiple of 4581,9895 with GCF Formula

Least Common Multiple of 4581,9895 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 4581,9895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4581,9895) = 1

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

GCF(4581,9895) x common factors =1 x 1 = 1

LCM(4581,9895) = ( 4581 × 9895 ) / 1

LCM(4581,9895) = 45328995 / 1

LCM(4581,9895) = 45328995


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 330/4581, 480/9895

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 330/4581, 480/9895?

Answer: GCF of Numerators as per given numbers 330/4581, 480/9895 is

GCF of Numerators i.e. for 330,480 is 30

LCM of denominators i.e. for 4581,9895 is 45328995.

Thus, GCF of Fractions is 30/45328995.Finally, GCF of Fractions for 330/4581, 480/9895 is 30/45328995.