Greatest Common Factor of 4523/232, 8289/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4523/232, 8289/363

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 4523/232,8289/363

Given fractions are 4523/232,8289/363

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 4523,8289

Greatest Common Factor of Numerators i.e. GCF of 4523,8289 is 1 .

LCM of Denominators means LCM of 232,363 as per the given fractions.

LCM of 232,363 is 84216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4523,8289

GCF of Fractions 4523/232,8289/363 is 1/84216

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

Greatest Common Factor of 4523,8289 By Matching Biggest Common Factor Method

Greatest Common Factor of 4523,8289 By Matching Biggest Common Factor Method

Factors of 4523

List of positive integer factors of 4523 that divides 4523 without a remainder.

1,4523

Factors of 8289

List of positive integer factors of 8289 that divides 8289 without a remainder.

1,3,9,27,307,921,2763,8289

Greatest Common Factor

We found the factors 4523,8289 . The biggest common factor number is the GCF number.
So the greatest common factor 4523,8289 is 1.

Lets's calculate LCM of 232,363

Given numbers has no common factors except 1. So, there LCM is their product i.e 84216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84216

Therefore, the GCF of Fractions 4523/232,8289/363 is 1/84216

Least Common Multiple of 232,363 with GCF Formula

Least Common Multiple of 232,363 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 232,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,363) = 1

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

GCF(232,363) x common factors =1 x 1 = 1

LCM(232,363) = ( 232 × 363 ) / 1

LCM(232,363) = 84216 / 1

LCM(232,363) = 84216


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 4523/232, 8289/363

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 4523/232, 8289/363?

Answer: GCF of Numerators as per given numbers 4523/232, 8289/363 is

GCF of Numerators i.e. for 4523,8289 is 1

LCM of denominators i.e. for 232,363 is 84216.

Thus, GCF of Fractions is 1/84216.Finally, GCF of Fractions for 4523/232, 8289/363 is 1/84216.