Greatest Common Factor of 18/382, 571/279, 593/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 18/382, 571/279, 593/401

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 18/382,571/279,593/401

Given fractions are 18/382,571/279,593/401

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 18,571,593

Greatest Common Factor of Numerators i.e. GCF of 18,571,593 is 1 .

LCM of Denominators means LCM of 382,279,401 as per the given fractions.

LCM of 382,279,401 is 42737778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,571,593

GCF of Fractions 18/382,571/279,593/401 is 1/42737778

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

Greatest Common Factor of 18,571,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,571,593 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 18,571,593 . The biggest common factor number is the GCF number.
So the greatest common factor 18,571,593 is 1.


Lets's calculate LCM of 382,279,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 42737778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42737778

Therefore, the GCF of Fractions 18/382,571/279,593/401 is 1/42737778

Least Common Multiple of 382,279,401 with GCF Formula

Least Common Multiple of 382,279,401 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 382,279,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,279,401) = 1

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

GCF(382,279,401) x common factors =1 x 1 = 1

LCM(382,279,401) = ( 382 × 279 × 401 ) / 1

LCM(382,279,401) = 42737778 / 1

LCM(382,279,401) = 42737778


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 18/382, 571/279, 593/401

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 18/382, 571/279, 593/401?

Answer: GCF of Numerators as per given numbers 18/382, 571/279, 593/401 is

GCF of Numerators i.e. for 18,571,593 is 1

LCM of denominators i.e. for 382,279,401 is 42737778.

Thus, GCF of Fractions is 1/42737778.Finally, GCF of Fractions for 18/382, 571/279, 593/401 is 1/42737778.