Greatest Common Factor of 909/541, 398/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 909/541, 398/838

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 909/541,398/838

Given fractions are 909/541,398/838

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 909,398

Greatest Common Factor of Numerators i.e. GCF of 909,398 is 1 .

LCM of Denominators means LCM of 541,838 as per the given fractions.

LCM of 541,838 is 453358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 909,398

GCF of Fractions 909/541,398/838 is 1/453358

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

Greatest Common Factor of 909,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,398 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 398

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

1,2,199,398

Greatest Common Factor

We found the factors 909,398 . The biggest common factor number is the GCF number.
So the greatest common factor 909,398 is 1.

Lets's calculate LCM of 541,838

Given numbers has no common factors except 1. So, there LCM is their product i.e 453358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453358

Therefore, the GCF of Fractions 909/541,398/838 is 1/453358

Least Common Multiple of 541,838 with GCF Formula

Least Common Multiple of 541,838 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 541,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,838) = 1

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

GCF(541,838) x common factors =1 x 1 = 1

LCM(541,838) = ( 541 × 838 ) / 1

LCM(541,838) = 453358 / 1

LCM(541,838) = 453358


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 909/541, 398/838

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 909/541, 398/838?

Answer: GCF of Numerators as per given numbers 909/541, 398/838 is

GCF of Numerators i.e. for 909,398 is 1

LCM of denominators i.e. for 541,838 is 453358.

Thus, GCF of Fractions is 1/453358.Finally, GCF of Fractions for 909/541, 398/838 is 1/453358.