Greatest Common Factor of 9963/30, 9897/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9963/30, 9897/877

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 9963/30,9897/877

Given fractions are 9963/30,9897/877

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 9963,9897

Greatest Common Factor of Numerators i.e. GCF of 9963,9897 is 3 .

LCM of Denominators means LCM of 30,877 as per the given fractions.

LCM of 30,877 is 26310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9963,9897

GCF of Fractions 9963/30,9897/877 is 3/26310

3 9963, 9897
3321, 3299

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9963,9897 By Matching Biggest Common Factor Method

Greatest Common Factor of 9963,9897 By Matching Biggest Common Factor Method

Factors of 9963

List of positive integer factors of 9963 that divides 9963 without a remainder.

1,3,9,27,41,81,123,243,369,1107,3321,9963

Factors of 9897

List of positive integer factors of 9897 that divides 9897 without a remainder.

1,3,3299,9897

Greatest Common Factor

We found the factors 9963,9897 . The biggest common factor number is the GCF number.
So the greatest common factor 9963,9897 is 3.

Lets's calculate LCM of 30,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 26310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26310

Therefore, the GCF of Fractions 9963/30,9897/877 is 3/26310

Least Common Multiple of 30,877 with GCF Formula

Least Common Multiple of 30,877 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 30,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,877) = 1

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

GCF(30,877) x common factors =1 x 1 = 1

LCM(30,877) = ( 30 × 877 ) / 1

LCM(30,877) = 26310 / 1

LCM(30,877) = 26310


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 9963/30, 9897/877

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 9963/30, 9897/877?

Answer: GCF of Numerators as per given numbers 9963/30, 9897/877 is

GCF of Numerators i.e. for 9963,9897 is 3

LCM of denominators i.e. for 30,877 is 26310.

Thus, GCF of Fractions is 3/26310.Finally, GCF of Fractions for 9963/30, 9897/877 is 3/26310.