Greatest Common Factor of 583/300, 9345/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 583/300, 9345/383

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 583/300,9345/383

Given fractions are 583/300,9345/383

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 583,9345

Greatest Common Factor of Numerators i.e. GCF of 583,9345 is 1 .

LCM of Denominators means LCM of 300,383 as per the given fractions.

LCM of 300,383 is 114900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 583,9345

GCF of Fractions 583/300,9345/383 is 1/114900

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

Greatest Common Factor of 583,9345 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,9345 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345

Greatest Common Factor

We found the factors 583,9345 . The biggest common factor number is the GCF number.
So the greatest common factor 583,9345 is 1.

Lets's calculate LCM of 300,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 114900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114900

Therefore, the GCF of Fractions 583/300,9345/383 is 1/114900

Least Common Multiple of 300,383 with GCF Formula

Least Common Multiple of 300,383 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 300,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,383) = 1

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

GCF(300,383) x common factors =1 x 1 = 1

LCM(300,383) = ( 300 × 383 ) / 1

LCM(300,383) = 114900 / 1

LCM(300,383) = 114900


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 583/300, 9345/383

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 583/300, 9345/383?

Answer: GCF of Numerators as per given numbers 583/300, 9345/383 is

GCF of Numerators i.e. for 583,9345 is 1

LCM of denominators i.e. for 300,383 is 114900.

Thus, GCF of Fractions is 1/114900.Finally, GCF of Fractions for 583/300, 9345/383 is 1/114900.