Greatest Common Factor of 4437/523, 8643/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4437/523, 8643/507

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 4437/523,8643/507

Given fractions are 4437/523,8643/507

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 4437,8643

Greatest Common Factor of Numerators i.e. GCF of 4437,8643 is 3 .

LCM of Denominators means LCM of 523,507 as per the given fractions.

LCM of 523,507 is 265161 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4437,8643

GCF of Fractions 4437/523,8643/507 is 3/265161

3 4437, 8643
1479, 2881

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4437,8643 By Matching Biggest Common Factor Method

Greatest Common Factor of 4437,8643 By Matching Biggest Common Factor Method

Factors of 4437

List of positive integer factors of 4437 that divides 4437 without a remainder.

1,3,9,17,29,51,87,153,261,493,1479,4437

Factors of 8643

List of positive integer factors of 8643 that divides 8643 without a remainder.

1,3,43,67,129,201,2881,8643

Greatest Common Factor

We found the factors 4437,8643 . The biggest common factor number is the GCF number.
So the greatest common factor 4437,8643 is 3.

Lets's calculate LCM of 523,507

Given numbers has no common factors except 1. So, there LCM is their product i.e 265161

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/265161

Therefore, the GCF of Fractions 4437/523,8643/507 is 3/265161

Least Common Multiple of 523,507 with GCF Formula

Least Common Multiple of 523,507 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 523,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,507) = 1

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

GCF(523,507) x common factors =1 x 1 = 1

LCM(523,507) = ( 523 × 507 ) / 1

LCM(523,507) = 265161 / 1

LCM(523,507) = 265161


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 4437/523, 8643/507

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 4437/523, 8643/507?

Answer: GCF of Numerators as per given numbers 4437/523, 8643/507 is

GCF of Numerators i.e. for 4437,8643 is 3

LCM of denominators i.e. for 523,507 is 265161.

Thus, GCF of Fractions is 3/265161.Finally, GCF of Fractions for 4437/523, 8643/507 is 3/265161.