Greatest Common Factor of 9130/327, 1881/3618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9130/327, 1881/3618

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 9130/327,1881/3618

Given fractions are 9130/327,1881/3618

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 9130,1881

Greatest Common Factor of Numerators i.e. GCF of 9130,1881 is 11 .

LCM of Denominators means LCM of 327,3618 as per the given fractions.

LCM of 327,3618 is 394362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9130,1881

GCF of Fractions 9130/327,1881/3618 is 11/394362

11 9130, 1881
830, 171

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

Greatest Common Factor of 9130,1881 By Matching Biggest Common Factor Method

Greatest Common Factor of 9130,1881 By Matching Biggest Common Factor Method

Factors of 9130

List of positive integer factors of 9130 that divides 9130 without a remainder.

1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130

Factors of 1881

List of positive integer factors of 1881 that divides 1881 without a remainder.

1,3,9,11,19,33,57,99,171,209,627,1881

Greatest Common Factor

We found the factors 9130,1881 . The biggest common factor number is the GCF number.
So the greatest common factor 9130,1881 is 11.

Lets's calculate LCM of 327,3618

3 327, 3618
109, 1206

∴ So the LCM of the given numbers is 3 x 109 x 1206 = 394362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/394362

Therefore, the GCF of Fractions 9130/327,1881/3618 is 11/394362

Least Common Multiple of 327,3618 with GCF Formula

Least Common Multiple of 327,3618 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 327,3618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,3618) = 3

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

GCF(327,3618) x common factors =3 x 1 = 3

LCM(327,3618) = ( 327 × 3618 ) / 3

LCM(327,3618) = 1183086 / 3

LCM(327,3618) = 394362


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 9130/327, 1881/3618

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 9130/327, 1881/3618?

Answer: GCF of Numerators as per given numbers 9130/327, 1881/3618 is

GCF of Numerators i.e. for 9130,1881 is 11

LCM of denominators i.e. for 327,3618 is 394362.

Thus, GCF of Fractions is 11/394362.Finally, GCF of Fractions for 9130/327, 1881/3618 is 11/394362.