Greatest Common Factor of 591/408, 7143/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 591/408, 7143/283

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 591/408,7143/283

Given fractions are 591/408,7143/283

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 591,7143

Greatest Common Factor of Numerators i.e. GCF of 591,7143 is 3 .

LCM of Denominators means LCM of 408,283 as per the given fractions.

LCM of 408,283 is 115464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 591,7143

GCF of Fractions 591/408,7143/283 is 3/115464

3 591, 7143
197, 2381

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

Greatest Common Factor of 591,7143 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,7143 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 7143

List of positive integer factors of 7143 that divides 7143 without a remainder.

1,3,2381,7143

Greatest Common Factor

We found the factors 591,7143 . The biggest common factor number is the GCF number.
So the greatest common factor 591,7143 is 3.

Lets's calculate LCM of 408,283

Given numbers has no common factors except 1. So, there LCM is their product i.e 115464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115464

Therefore, the GCF of Fractions 591/408,7143/283 is 3/115464

Least Common Multiple of 408,283 with GCF Formula

Least Common Multiple of 408,283 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 408,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,283) = 1

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

GCF(408,283) x common factors =1 x 1 = 1

LCM(408,283) = ( 408 × 283 ) / 1

LCM(408,283) = 115464 / 1

LCM(408,283) = 115464


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 591/408, 7143/283

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 591/408, 7143/283?

Answer: GCF of Numerators as per given numbers 591/408, 7143/283 is

GCF of Numerators i.e. for 591,7143 is 3

LCM of denominators i.e. for 408,283 is 115464.

Thus, GCF of Fractions is 3/115464.Finally, GCF of Fractions for 591/408, 7143/283 is 3/115464.