Greatest Common Factor of 9999/780, 8772/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9999/780, 8772/225

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 9999/780,8772/225

Given fractions are 9999/780,8772/225

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 9999,8772

Greatest Common Factor of Numerators i.e. GCF of 9999,8772 is 3 .

LCM of Denominators means LCM of 780,225 as per the given fractions.

LCM of 780,225 is 11700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9999,8772

GCF of Fractions 9999/780,8772/225 is 3/11700

3 9999, 8772
3333, 2924

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

Greatest Common Factor of 9999,8772 By Matching Biggest Common Factor Method

Greatest Common Factor of 9999,8772 By Matching Biggest Common Factor Method

Factors of 9999

List of positive integer factors of 9999 that divides 9999 without a remainder.

1,3,9,11,33,99,101,303,909,1111,3333,9999

Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772

Greatest Common Factor

We found the factors 9999,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 9999,8772 is 3.

Lets's calculate LCM of 780,225

3 780, 225
5 260, 75
52, 15

∴ So the LCM of the given numbers is 3 x 5 x 52 x 15 = 11700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11700

Therefore, the GCF of Fractions 9999/780,8772/225 is 3/11700

Least Common Multiple of 780,225 with GCF Formula

Least Common Multiple of 780,225 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 780,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,225) = 15

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

GCF(780,225) x common factors =15 x 1 = 15

LCM(780,225) = ( 780 × 225 ) / 15

LCM(780,225) = 175500 / 15

LCM(780,225) = 11700


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 9999/780, 8772/225

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 9999/780, 8772/225?

Answer: GCF of Numerators as per given numbers 9999/780, 8772/225 is

GCF of Numerators i.e. for 9999,8772 is 3

LCM of denominators i.e. for 780,225 is 11700.

Thus, GCF of Fractions is 3/11700.Finally, GCF of Fractions for 9999/780, 8772/225 is 3/11700.