Greatest Common Factor of 1289/666, 9837/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1289/666, 9837/289

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 1289/666,9837/289

Given fractions are 1289/666,9837/289

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 1289,9837

Greatest Common Factor of Numerators i.e. GCF of 1289,9837 is 1 .

LCM of Denominators means LCM of 666,289 as per the given fractions.

LCM of 666,289 is 192474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1289,9837

GCF of Fractions 1289/666,9837/289 is 1/192474

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

Greatest Common Factor of 1289,9837 By Matching Biggest Common Factor Method

Greatest Common Factor of 1289,9837 By Matching Biggest Common Factor Method

Factors of 1289

List of positive integer factors of 1289 that divides 1289 without a remainder.

1,1289

Factors of 9837

List of positive integer factors of 9837 that divides 9837 without a remainder.

1,3,9,1093,3279,9837

Greatest Common Factor

We found the factors 1289,9837 . The biggest common factor number is the GCF number.
So the greatest common factor 1289,9837 is 1.

Lets's calculate LCM of 666,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 192474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192474

Therefore, the GCF of Fractions 1289/666,9837/289 is 1/192474

Least Common Multiple of 666,289 with GCF Formula

Least Common Multiple of 666,289 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 666,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,289) = 1

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

GCF(666,289) x common factors =1 x 1 = 1

LCM(666,289) = ( 666 × 289 ) / 1

LCM(666,289) = 192474 / 1

LCM(666,289) = 192474


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 1289/666, 9837/289

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 1289/666, 9837/289?

Answer: GCF of Numerators as per given numbers 1289/666, 9837/289 is

GCF of Numerators i.e. for 1289,9837 is 1

LCM of denominators i.e. for 666,289 is 192474.

Thus, GCF of Fractions is 1/192474.Finally, GCF of Fractions for 1289/666, 9837/289 is 1/192474.