Greatest Common Factor of 9307/993, 2993/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9307/993, 2993/897

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 9307/993,2993/897

Given fractions are 9307/993,2993/897

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 9307,2993

Greatest Common Factor of Numerators i.e. GCF of 9307,2993 is 41 .

LCM of Denominators means LCM of 993,897 as per the given fractions.

LCM of 993,897 is 296907 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9307,2993

GCF of Fractions 9307/993,2993/897 is 41/296907

41 9307, 2993
227, 73

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 9307,2993 By Matching Biggest Common Factor Method

Greatest Common Factor of 9307,2993 By Matching Biggest Common Factor Method

Factors of 9307

List of positive integer factors of 9307 that divides 9307 without a remainder.

1,41,227,9307

Factors of 2993

List of positive integer factors of 2993 that divides 2993 without a remainder.

1,41,73,2993

Greatest Common Factor

We found the factors 9307,2993 . The biggest common factor number is the GCF number.
So the greatest common factor 9307,2993 is 41.

Lets's calculate LCM of 993,897

3 993, 897
331, 299

∴ So the LCM of the given numbers is 3 x 331 x 299 = 296907

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/296907

Therefore, the GCF of Fractions 9307/993,2993/897 is 41/296907

Least Common Multiple of 993,897 with GCF Formula

Least Common Multiple of 993,897 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 993,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,897) = 3

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

GCF(993,897) x common factors =3 x 1 = 3

LCM(993,897) = ( 993 × 897 ) / 3

LCM(993,897) = 890721 / 3

LCM(993,897) = 296907


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 9307/993, 2993/897

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 9307/993, 2993/897?

Answer: GCF of Numerators as per given numbers 9307/993, 2993/897 is

GCF of Numerators i.e. for 9307,2993 is 41

LCM of denominators i.e. for 993,897 is 296907.

Thus, GCF of Fractions is 41/296907.Finally, GCF of Fractions for 9307/993, 2993/897 is 41/296907.