Greatest Common Factor of 9789/102, 8727/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9789/102, 8727/983

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 9789/102,8727/983

Given fractions are 9789/102,8727/983

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 9789,8727

Greatest Common Factor of Numerators i.e. GCF of 9789,8727 is 3 .

LCM of Denominators means LCM of 102,983 as per the given fractions.

LCM of 102,983 is 100266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9789,8727

GCF of Fractions 9789/102,8727/983 is 3/100266

3 9789, 8727
3263, 2909

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

Greatest Common Factor of 9789,8727 By Matching Biggest Common Factor Method

Greatest Common Factor of 9789,8727 By Matching Biggest Common Factor Method

Factors of 9789

List of positive integer factors of 9789 that divides 9789 without a remainder.

1,3,13,39,251,753,3263,9789

Factors of 8727

List of positive integer factors of 8727 that divides 8727 without a remainder.

1,3,2909,8727

Greatest Common Factor

We found the factors 9789,8727 . The biggest common factor number is the GCF number.
So the greatest common factor 9789,8727 is 3.

Lets's calculate LCM of 102,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 100266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/100266

Therefore, the GCF of Fractions 9789/102,8727/983 is 3/100266

Least Common Multiple of 102,983 with GCF Formula

Least Common Multiple of 102,983 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 102,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,983) = 1

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

GCF(102,983) x common factors =1 x 1 = 1

LCM(102,983) = ( 102 × 983 ) / 1

LCM(102,983) = 100266 / 1

LCM(102,983) = 100266


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 9789/102, 8727/983

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 9789/102, 8727/983?

Answer: GCF of Numerators as per given numbers 9789/102, 8727/983 is

GCF of Numerators i.e. for 9789,8727 is 3

LCM of denominators i.e. for 102,983 is 100266.

Thus, GCF of Fractions is 3/100266.Finally, GCF of Fractions for 9789/102, 8727/983 is 3/100266.