Greatest Common Factor of 3168/81, 9994/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3168/81, 9994/747

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 3168/81,9994/747

Given fractions are 3168/81,9994/747

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 3168,9994

Greatest Common Factor of Numerators i.e. GCF of 3168,9994 is 2 .

LCM of Denominators means LCM of 81,747 as per the given fractions.

LCM of 81,747 is 6723 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3168,9994

GCF of Fractions 3168/81,9994/747 is 2/6723

2 3168, 9994
1584, 4997

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3168,9994 By Matching Biggest Common Factor Method

Greatest Common Factor of 3168,9994 By Matching Biggest Common Factor Method

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168

Factors of 9994

List of positive integer factors of 9994 that divides 9994 without a remainder.

1,2,19,38,263,526,4997,9994

Greatest Common Factor

We found the factors 3168,9994 . The biggest common factor number is the GCF number.
So the greatest common factor 3168,9994 is 2.

Lets's calculate LCM of 81,747

3 81, 747
3 27, 249
9, 83

∴ So the LCM of the given numbers is 3 x 3 x 9 x 83 = 6723

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6723

Therefore, the GCF of Fractions 3168/81,9994/747 is 2/6723

Least Common Multiple of 81,747 with GCF Formula

Least Common Multiple of 81,747 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 81,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,747) = 9

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

GCF(81,747) x common factors =9 x 1 = 9

LCM(81,747) = ( 81 × 747 ) / 9

LCM(81,747) = 60507 / 9

LCM(81,747) = 6723


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 3168/81, 9994/747

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 3168/81, 9994/747?

Answer: GCF of Numerators as per given numbers 3168/81, 9994/747 is

GCF of Numerators i.e. for 3168,9994 is 2

LCM of denominators i.e. for 81,747 is 6723.

Thus, GCF of Fractions is 2/6723.Finally, GCF of Fractions for 3168/81, 9994/747 is 2/6723.