Greatest Common Factor of 7872/201, 9747/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7872/201, 9747/486

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 7872/201,9747/486

Given fractions are 7872/201,9747/486

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 7872,9747

Greatest Common Factor of Numerators i.e. GCF of 7872,9747 is 3 .

LCM of Denominators means LCM of 201,486 as per the given fractions.

LCM of 201,486 is 32562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7872,9747

GCF of Fractions 7872/201,9747/486 is 3/32562

3 7872, 9747
2624, 3249

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

Greatest Common Factor of 7872,9747 By Matching Biggest Common Factor Method

Greatest Common Factor of 7872,9747 By Matching Biggest Common Factor Method

Factors of 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872

Factors of 9747

List of positive integer factors of 9747 that divides 9747 without a remainder.

1,3,9,19,27,57,171,361,513,1083,3249,9747

Greatest Common Factor

We found the factors 7872,9747 . The biggest common factor number is the GCF number.
So the greatest common factor 7872,9747 is 3.

Lets's calculate LCM of 201,486

3 201, 486
67, 162

∴ So the LCM of the given numbers is 3 x 67 x 162 = 32562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/32562

Therefore, the GCF of Fractions 7872/201,9747/486 is 3/32562

Least Common Multiple of 201,486 with GCF Formula

Least Common Multiple of 201,486 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 201,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,486) = 3

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

GCF(201,486) x common factors =3 x 1 = 3

LCM(201,486) = ( 201 × 486 ) / 3

LCM(201,486) = 97686 / 3

LCM(201,486) = 32562


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 7872/201, 9747/486

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 7872/201, 9747/486?

Answer: GCF of Numerators as per given numbers 7872/201, 9747/486 is

GCF of Numerators i.e. for 7872,9747 is 3

LCM of denominators i.e. for 201,486 is 32562.

Thus, GCF of Fractions is 3/32562.Finally, GCF of Fractions for 7872/201, 9747/486 is 3/32562.