Greatest Common Factor of 413/33, 209/35, 590/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 413/33, 209/35, 590/337

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 413/33,209/35,590/337

Given fractions are 413/33,209/35,590/337

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 413,209,590

Greatest Common Factor of Numerators i.e. GCF of 413,209,590 is 1 .

LCM of Denominators means LCM of 33,35,337 as per the given fractions.

LCM of 33,35,337 is 389235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 413,209,590

GCF of Fractions 413/33,209/35,590/337 is 1/389235

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

Greatest Common Factor of 413,209,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,209,590 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 413,209,590 . The biggest common factor number is the GCF number.
So the greatest common factor 413,209,590 is 1.

Lets's calculate LCM of 33,35,337

Given numbers has no common factors except 1. So, there LCM is their product i.e 389235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389235

Therefore, the GCF of Fractions 413/33,209/35,590/337 is 1/389235

Least Common Multiple of 33,35,337 with GCF Formula

Least Common Multiple of 33,35,337 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 33,35,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,35,337) = 1

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

GCF(33,35,337) x common factors =1 x 1 = 1

LCM(33,35,337) = ( 33 × 35 × 337 ) / 1

LCM(33,35,337) = 389235 / 1

LCM(33,35,337) = 389235


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 413/33, 209/35, 590/337

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 413/33, 209/35, 590/337?

Answer: GCF of Numerators as per given numbers 413/33, 209/35, 590/337 is

GCF of Numerators i.e. for 413,209,590 is 1

LCM of denominators i.e. for 33,35,337 is 389235.

Thus, GCF of Fractions is 1/389235.Finally, GCF of Fractions for 413/33, 209/35, 590/337 is 1/389235.