Greatest Common Factor of 3369/333, 6480/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3369/333, 6480/137

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 3369/333,6480/137

Given fractions are 3369/333,6480/137

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 3369,6480

Greatest Common Factor of Numerators i.e. GCF of 3369,6480 is 3 .

LCM of Denominators means LCM of 333,137 as per the given fractions.

LCM of 333,137 is 45621 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3369,6480

GCF of Fractions 3369/333,6480/137 is 3/45621

3 3369, 6480
1123, 2160

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3369,6480 By Matching Biggest Common Factor Method

Greatest Common Factor of 3369,6480 By Matching Biggest Common Factor Method

Factors of 3369

List of positive integer factors of 3369 that divides 3369 without a remainder.

1,3,1123,3369

Factors of 6480

List of positive integer factors of 6480 that divides 6480 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,81,90,108,120,135,144,162,180,216,240,270,324,360,405,432,540,648,720,810,1080,1296,1620,2160,3240,6480

Greatest Common Factor

We found the factors 3369,6480 . The biggest common factor number is the GCF number.
So the greatest common factor 3369,6480 is 3.

Lets's calculate LCM of 333,137

Given numbers has no common factors except 1. So, there LCM is their product i.e 45621

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45621

Therefore, the GCF of Fractions 3369/333,6480/137 is 3/45621

Least Common Multiple of 333,137 with GCF Formula

Least Common Multiple of 333,137 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 333,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,137) = 1

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

GCF(333,137) x common factors =1 x 1 = 1

LCM(333,137) = ( 333 × 137 ) / 1

LCM(333,137) = 45621 / 1

LCM(333,137) = 45621


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 3369/333, 6480/137

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 3369/333, 6480/137?

Answer: GCF of Numerators as per given numbers 3369/333, 6480/137 is

GCF of Numerators i.e. for 3369,6480 is 3

LCM of denominators i.e. for 333,137 is 45621.

Thus, GCF of Fractions is 3/45621.Finally, GCF of Fractions for 3369/333, 6480/137 is 3/45621.