Greatest Common Factor of 8683/83, 9141/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8683/83, 9141/273

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 8683/83,9141/273

Given fractions are 8683/83,9141/273

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 8683,9141

Greatest Common Factor of Numerators i.e. GCF of 8683,9141 is 1 .

LCM of Denominators means LCM of 83,273 as per the given fractions.

LCM of 83,273 is 22659 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8683,9141

GCF of Fractions 8683/83,9141/273 is 1/22659

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

Greatest Common Factor of 8683,9141 By Matching Biggest Common Factor Method

Greatest Common Factor of 8683,9141 By Matching Biggest Common Factor Method

Factors of 8683

List of positive integer factors of 8683 that divides 8683 without a remainder.

1,19,457,8683

Factors of 9141

List of positive integer factors of 9141 that divides 9141 without a remainder.

1,3,11,33,277,831,3047,9141

Greatest Common Factor

We found the factors 8683,9141 . The biggest common factor number is the GCF number.
So the greatest common factor 8683,9141 is 1.

Lets's calculate LCM of 83,273

Given numbers has no common factors except 1. So, there LCM is their product i.e 22659

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22659

Therefore, the GCF of Fractions 8683/83,9141/273 is 1/22659

Least Common Multiple of 83,273 with GCF Formula

Least Common Multiple of 83,273 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 83,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,273) = 1

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

GCF(83,273) x common factors =1 x 1 = 1

LCM(83,273) = ( 83 × 273 ) / 1

LCM(83,273) = 22659 / 1

LCM(83,273) = 22659


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 8683/83, 9141/273

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 8683/83, 9141/273?

Answer: GCF of Numerators as per given numbers 8683/83, 9141/273 is

GCF of Numerators i.e. for 8683,9141 is 1

LCM of denominators i.e. for 83,273 is 22659.

Thus, GCF of Fractions is 1/22659.Finally, GCF of Fractions for 8683/83, 9141/273 is 1/22659.