Greatest Common Factor of 559/434, 3483/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 559/434, 3483/380

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 559/434,3483/380

Given fractions are 559/434,3483/380

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 559,3483

Greatest Common Factor of Numerators i.e. GCF of 559,3483 is 43 .

LCM of Denominators means LCM of 434,380 as per the given fractions.

LCM of 434,380 is 82460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 559,3483

GCF of Fractions 559/434,3483/380 is 43/82460

43 559, 3483
13, 81

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 559,3483 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,3483 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 3483

List of positive integer factors of 3483 that divides 3483 without a remainder.

1,3,9,27,43,81,129,387,1161,3483

Greatest Common Factor

We found the factors 559,3483 . The biggest common factor number is the GCF number.
So the greatest common factor 559,3483 is 43.

Lets's calculate LCM of 434,380

2 434, 380
217, 190

∴ So the LCM of the given numbers is 2 x 217 x 190 = 82460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/82460

Therefore, the GCF of Fractions 559/434,3483/380 is 43/82460

Least Common Multiple of 434,380 with GCF Formula

Least Common Multiple of 434,380 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 434,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,380) = 2

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

GCF(434,380) x common factors =2 x 1 = 2

LCM(434,380) = ( 434 × 380 ) / 2

LCM(434,380) = 164920 / 2

LCM(434,380) = 82460


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 559/434, 3483/380

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 559/434, 3483/380?

Answer: GCF of Numerators as per given numbers 559/434, 3483/380 is

GCF of Numerators i.e. for 559,3483 is 43

LCM of denominators i.e. for 434,380 is 82460.

Thus, GCF of Fractions is 43/82460.Finally, GCF of Fractions for 559/434, 3483/380 is 43/82460.