Greatest Common Factor of 419/368, 590/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 419/368, 590/834

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 419/368,590/834

Given fractions are 419/368,590/834

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 419,590

Greatest Common Factor of Numerators i.e. GCF of 419,590 is 1 .

LCM of Denominators means LCM of 368,834 as per the given fractions.

LCM of 368,834 is 153456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 419,590

GCF of Fractions 419/368,590/834 is 1/153456

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

Greatest Common Factor of 419,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,590 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

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 419,590 . The biggest common factor number is the GCF number.
So the greatest common factor 419,590 is 1.

Lets's calculate LCM of 368,834

2 368, 834
184, 417

∴ So the LCM of the given numbers is 2 x 184 x 417 = 153456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153456

Therefore, the GCF of Fractions 419/368,590/834 is 1/153456

Least Common Multiple of 368,834 with GCF Formula

Least Common Multiple of 368,834 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 368,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,834) = 2

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

GCF(368,834) x common factors =2 x 1 = 2

LCM(368,834) = ( 368 × 834 ) / 2

LCM(368,834) = 306912 / 2

LCM(368,834) = 153456


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 419/368, 590/834

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 419/368, 590/834?

Answer: GCF of Numerators as per given numbers 419/368, 590/834 is

GCF of Numerators i.e. for 419,590 is 1

LCM of denominators i.e. for 368,834 is 153456.

Thus, GCF of Fractions is 1/153456.Finally, GCF of Fractions for 419/368, 590/834 is 1/153456.