Greatest Common Factor of 324/483, 8723/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/483, 8723/365

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 324/483,8723/365

Given fractions are 324/483,8723/365

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 324,8723

Greatest Common Factor of Numerators i.e. GCF of 324,8723 is 1 .

LCM of Denominators means LCM of 483,365 as per the given fractions.

LCM of 483,365 is 176295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,8723

GCF of Fractions 324/483,8723/365 is 1/176295

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

Greatest Common Factor of 324,8723 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,8723 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 8723

List of positive integer factors of 8723 that divides 8723 without a remainder.

1,11,13,61,143,671,793,8723

Greatest Common Factor

We found the factors 324,8723 . The biggest common factor number is the GCF number.
So the greatest common factor 324,8723 is 1.

Lets's calculate LCM of 483,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 176295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176295

Therefore, the GCF of Fractions 324/483,8723/365 is 1/176295

Least Common Multiple of 483,365 with GCF Formula

Least Common Multiple of 483,365 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 483,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,365) = 1

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

GCF(483,365) x common factors =1 x 1 = 1

LCM(483,365) = ( 483 × 365 ) / 1

LCM(483,365) = 176295 / 1

LCM(483,365) = 176295


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 324/483, 8723/365

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 324/483, 8723/365?

Answer: GCF of Numerators as per given numbers 324/483, 8723/365 is

GCF of Numerators i.e. for 324,8723 is 1

LCM of denominators i.e. for 483,365 is 176295.

Thus, GCF of Fractions is 1/176295.Finally, GCF of Fractions for 324/483, 8723/365 is 1/176295.