Greatest Common Factor of 7327/12, 8103/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7327/12, 8103/370

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 7327/12,8103/370

Given fractions are 7327/12,8103/370

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 7327,8103

Greatest Common Factor of Numerators i.e. GCF of 7327,8103 is 1 .

LCM of Denominators means LCM of 12,370 as per the given fractions.

LCM of 12,370 is 2220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7327,8103

GCF of Fractions 7327/12,8103/370 is 1/2220

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

Greatest Common Factor of 7327,8103 By Matching Biggest Common Factor Method

Greatest Common Factor of 7327,8103 By Matching Biggest Common Factor Method

Factors of 7327

List of positive integer factors of 7327 that divides 7327 without a remainder.

1,17,431,7327

Factors of 8103

List of positive integer factors of 8103 that divides 8103 without a remainder.

1,3,37,73,111,219,2701,8103

Greatest Common Factor

We found the factors 7327,8103 . The biggest common factor number is the GCF number.
So the greatest common factor 7327,8103 is 1.

Lets's calculate LCM of 12,370

2 12, 370
6, 185

∴ So the LCM of the given numbers is 2 x 6 x 185 = 2220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2220

Therefore, the GCF of Fractions 7327/12,8103/370 is 1/2220

Least Common Multiple of 12,370 with GCF Formula

Least Common Multiple of 12,370 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 12,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,370) = 2

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

GCF(12,370) x common factors =2 x 1 = 2

LCM(12,370) = ( 12 × 370 ) / 2

LCM(12,370) = 4440 / 2

LCM(12,370) = 2220


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 7327/12, 8103/370

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 7327/12, 8103/370?

Answer: GCF of Numerators as per given numbers 7327/12, 8103/370 is

GCF of Numerators i.e. for 7327,8103 is 1

LCM of denominators i.e. for 12,370 is 2220.

Thus, GCF of Fractions is 1/2220.Finally, GCF of Fractions for 7327/12, 8103/370 is 1/2220.