Greatest Common Factor of 9303/53, 9701/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9303/53, 9701/903

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 9303/53,9701/903

Given fractions are 9303/53,9701/903

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 9303,9701

Greatest Common Factor of Numerators i.e. GCF of 9303,9701 is 1 .

LCM of Denominators means LCM of 53,903 as per the given fractions.

LCM of 53,903 is 47859 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9303,9701

GCF of Fractions 9303/53,9701/903 is 1/47859

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

Greatest Common Factor of 9303,9701 By Matching Biggest Common Factor Method

Greatest Common Factor of 9303,9701 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 9701

List of positive integer factors of 9701 that divides 9701 without a remainder.

1,89,109,9701

Greatest Common Factor

We found the factors 9303,9701 . The biggest common factor number is the GCF number.
So the greatest common factor 9303,9701 is 1.

Lets's calculate LCM of 53,903

Given numbers has no common factors except 1. So, there LCM is their product i.e 47859

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47859

Therefore, the GCF of Fractions 9303/53,9701/903 is 1/47859

Least Common Multiple of 53,903 with GCF Formula

Least Common Multiple of 53,903 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 53,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,903) = 1

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

GCF(53,903) x common factors =1 x 1 = 1

LCM(53,903) = ( 53 × 903 ) / 1

LCM(53,903) = 47859 / 1

LCM(53,903) = 47859


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 9303/53, 9701/903

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 9303/53, 9701/903?

Answer: GCF of Numerators as per given numbers 9303/53, 9701/903 is

GCF of Numerators i.e. for 9303,9701 is 1

LCM of denominators i.e. for 53,903 is 47859.

Thus, GCF of Fractions is 1/47859.Finally, GCF of Fractions for 9303/53, 9701/903 is 1/47859.