Greatest Common Factor of 991/96, 309/6603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 991/96, 309/6603

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 991/96,309/6603

Given fractions are 991/96,309/6603

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 991,309

Greatest Common Factor of Numerators i.e. GCF of 991,309 is 1 .

LCM of Denominators means LCM of 96,6603 as per the given fractions.

LCM of 96,6603 is 211296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,309

GCF of Fractions 991/96,309/6603 is 1/211296

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

Greatest Common Factor of 991,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,309 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 991,309 . The biggest common factor number is the GCF number.
So the greatest common factor 991,309 is 1.


Lets's calculate LCM of 96,6603

3 96, 6603
32, 2201

∴ So the LCM of the given numbers is 3 x 32 x 2201 = 211296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211296

Therefore, the GCF of Fractions 991/96,309/6603 is 1/211296

Least Common Multiple of 96,6603 with GCF Formula

Least Common Multiple of 96,6603 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 96,6603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,6603) = 3

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

GCF(96,6603) x common factors =3 x 1 = 3

LCM(96,6603) = ( 96 × 6603 ) / 3

LCM(96,6603) = 633888 / 3

LCM(96,6603) = 211296


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 991/96, 309/6603

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 991/96, 309/6603?

Answer: GCF of Numerators as per given numbers 991/96, 309/6603 is

GCF of Numerators i.e. for 991,309 is 1

LCM of denominators i.e. for 96,6603 is 211296.

Thus, GCF of Fractions is 1/211296.Finally, GCF of Fractions for 991/96, 309/6603 is 1/211296.