Greatest Common Factor of 1206/81, 9864/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1206/81, 9864/509

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 1206/81,9864/509

Given fractions are 1206/81,9864/509

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 1206,9864

Greatest Common Factor of Numerators i.e. GCF of 1206,9864 is 18 .

LCM of Denominators means LCM of 81,509 as per the given fractions.

LCM of 81,509 is 41229 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1206,9864

GCF of Fractions 1206/81,9864/509 is 18/41229

2 1206, 9864
3 603, 4932
3 201, 1644
67, 548

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 1206,9864 By Matching Biggest Common Factor Method

Greatest Common Factor of 1206,9864 By Matching Biggest Common Factor Method

Factors of 1206

List of positive integer factors of 1206 that divides 1206 without a remainder.

1,2,3,6,9,18,67,134,201,402,603,1206

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864

Greatest Common Factor

We found the factors 1206,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 1206,9864 is 18.

Lets's calculate LCM of 81,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 41229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/41229

Therefore, the GCF of Fractions 1206/81,9864/509 is 18/41229

Least Common Multiple of 81,509 with GCF Formula

Least Common Multiple of 81,509 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 81,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,509) = 1

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

GCF(81,509) x common factors =1 x 1 = 1

LCM(81,509) = ( 81 × 509 ) / 1

LCM(81,509) = 41229 / 1

LCM(81,509) = 41229


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 1206/81, 9864/509

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 1206/81, 9864/509?

Answer: GCF of Numerators as per given numbers 1206/81, 9864/509 is

GCF of Numerators i.e. for 1206,9864 is 18

LCM of denominators i.e. for 81,509 is 41229.

Thus, GCF of Fractions is 18/41229.Finally, GCF of Fractions for 1206/81, 9864/509 is 18/41229.