Greatest Common Factor of 3253/327, 9107/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3253/327, 9107/330

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 3253/327,9107/330

Given fractions are 3253/327,9107/330

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 3253,9107

Greatest Common Factor of Numerators i.e. GCF of 3253,9107 is 1 .

LCM of Denominators means LCM of 327,330 as per the given fractions.

LCM of 327,330 is 35970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3253,9107

GCF of Fractions 3253/327,9107/330 is 1/35970

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3253,9107 By Matching Biggest Common Factor Method

Greatest Common Factor of 3253,9107 By Matching Biggest Common Factor Method

Factors of 3253

List of positive integer factors of 3253 that divides 3253 without a remainder.

1,3253

Factors of 9107

List of positive integer factors of 9107 that divides 9107 without a remainder.

1,7,1301,9107

Greatest Common Factor

We found the factors 3253,9107 . The biggest common factor number is the GCF number.
So the greatest common factor 3253,9107 is 1.

Lets's calculate LCM of 327,330

3 327, 330
109, 110

∴ So the LCM of the given numbers is 3 x 109 x 110 = 35970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35970

Therefore, the GCF of Fractions 3253/327,9107/330 is 1/35970

Least Common Multiple of 327,330 with GCF Formula

Least Common Multiple of 327,330 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 327,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,330) = 3

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

GCF(327,330) x common factors =3 x 1 = 3

LCM(327,330) = ( 327 × 330 ) / 3

LCM(327,330) = 107910 / 3

LCM(327,330) = 35970


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 3253/327, 9107/330

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 3253/327, 9107/330?

Answer: GCF of Numerators as per given numbers 3253/327, 9107/330 is

GCF of Numerators i.e. for 3253,9107 is 1

LCM of denominators i.e. for 327,330 is 35970.

Thus, GCF of Fractions is 1/35970.Finally, GCF of Fractions for 3253/327, 9107/330 is 1/35970.