Greatest Common Factor of 459/1305, 323/1021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 459/1305, 323/1021

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 459/1305,323/1021

Given fractions are 459/1305,323/1021

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 459,323

Greatest Common Factor of Numerators i.e. GCF of 459,323 is 17 .

LCM of Denominators means LCM of 1305,1021 as per the given fractions.

LCM of 1305,1021 is 1332405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 459,323

GCF of Fractions 459/1305,323/1021 is 17/1332405

17 459, 323
27, 19

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 459,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,323 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 459,323 . The biggest common factor number is the GCF number.
So the greatest common factor 459,323 is 17.

Lets's calculate LCM of 1305,1021

Given numbers has no common factors except 1. So, there LCM is their product i.e 1332405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1332405

Therefore, the GCF of Fractions 459/1305,323/1021 is 17/1332405

Least Common Multiple of 1305,1021 with GCF Formula

Least Common Multiple of 1305,1021 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 1305,1021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1305,1021) = 1

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

GCF(1305,1021) x common factors =1 x 1 = 1

LCM(1305,1021) = ( 1305 × 1021 ) / 1

LCM(1305,1021) = 1332405 / 1

LCM(1305,1021) = 1332405


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 459/1305, 323/1021

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 459/1305, 323/1021?

Answer: GCF of Numerators as per given numbers 459/1305, 323/1021 is

GCF of Numerators i.e. for 459,323 is 17

LCM of denominators i.e. for 1305,1021 is 1332405.

Thus, GCF of Fractions is 17/1332405.Finally, GCF of Fractions for 459/1305, 323/1021 is 17/1332405.