Greatest Common Factor of 9303/232, 4956/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9303/232, 4956/491

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 9303/232,4956/491

Given fractions are 9303/232,4956/491

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 9303,4956

Greatest Common Factor of Numerators i.e. GCF of 9303,4956 is 21 .

LCM of Denominators means LCM of 232,491 as per the given fractions.

LCM of 232,491 is 113912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9303,4956

GCF of Fractions 9303/232,4956/491 is 21/113912

3 9303, 4956
7 3101, 1652
443, 236

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 9303,4956 By Matching Biggest Common Factor Method

Greatest Common Factor of 9303,4956 By Matching Biggest Common Factor Method

Factors of 9303

List of positive integer factors of 9303 that divides 9303 without a remainder.

1,3,7,21,443,1329,3101,9303

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956

Greatest Common Factor

We found the factors 9303,4956 . The biggest common factor number is the GCF number.
So the greatest common factor 9303,4956 is 21.

Lets's calculate LCM of 232,491

Given numbers has no common factors except 1. So, there LCM is their product i.e 113912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/113912

Therefore, the GCF of Fractions 9303/232,4956/491 is 21/113912

Least Common Multiple of 232,491 with GCF Formula

Least Common Multiple of 232,491 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 232,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,491) = 1

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

GCF(232,491) x common factors =1 x 1 = 1

LCM(232,491) = ( 232 × 491 ) / 1

LCM(232,491) = 113912 / 1

LCM(232,491) = 113912


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 9303/232, 4956/491

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 9303/232, 4956/491?

Answer: GCF of Numerators as per given numbers 9303/232, 4956/491 is

GCF of Numerators i.e. for 9303,4956 is 21

LCM of denominators i.e. for 232,491 is 113912.

Thus, GCF of Fractions is 21/113912.Finally, GCF of Fractions for 9303/232, 4956/491 is 21/113912.