Greatest Common Factor of 398/419, 830/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/419, 830/723

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 398/419,830/723

Given fractions are 398/419,830/723

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 398,830

Greatest Common Factor of Numerators i.e. GCF of 398,830 is 2 .

LCM of Denominators means LCM of 419,723 as per the given fractions.

LCM of 419,723 is 302937 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,830

GCF of Fractions 398/419,830/723 is 2/302937

2 398, 830
199, 415

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 398,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,830 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 398,830 . The biggest common factor number is the GCF number.
So the greatest common factor 398,830 is 2.

Lets's calculate LCM of 419,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 302937

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/302937

Therefore, the GCF of Fractions 398/419,830/723 is 2/302937

Least Common Multiple of 419,723 with GCF Formula

Least Common Multiple of 419,723 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 419,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,723) = 1

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

GCF(419,723) x common factors =1 x 1 = 1

LCM(419,723) = ( 419 × 723 ) / 1

LCM(419,723) = 302937 / 1

LCM(419,723) = 302937


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 398/419, 830/723

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 398/419, 830/723?

Answer: GCF of Numerators as per given numbers 398/419, 830/723 is

GCF of Numerators i.e. for 398,830 is 2

LCM of denominators i.e. for 419,723 is 302937.

Thus, GCF of Fractions is 2/302937.Finally, GCF of Fractions for 398/419, 830/723 is 2/302937.