Greatest Common Factor of 404/31, 838/2283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 404/31, 838/2283

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 404/31,838/2283

Given fractions are 404/31,838/2283

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 404,838

Greatest Common Factor of Numerators i.e. GCF of 404,838 is 2 .

LCM of Denominators means LCM of 31,2283 as per the given fractions.

LCM of 31,2283 is 70773 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 404,838

GCF of Fractions 404/31,838/2283 is 2/70773

2 404, 838
202, 419

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

Greatest Common Factor of 404,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,838 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 404,838 . The biggest common factor number is the GCF number.
So the greatest common factor 404,838 is 2.

Lets's calculate LCM of 31,2283

Given numbers has no common factors except 1. So, there LCM is their product i.e 70773

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70773

Therefore, the GCF of Fractions 404/31,838/2283 is 2/70773

Least Common Multiple of 31,2283 with GCF Formula

Least Common Multiple of 31,2283 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 31,2283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,2283) = 1

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

GCF(31,2283) x common factors =1 x 1 = 1

LCM(31,2283) = ( 31 × 2283 ) / 1

LCM(31,2283) = 70773 / 1

LCM(31,2283) = 70773


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 404/31, 838/2283

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 404/31, 838/2283?

Answer: GCF of Numerators as per given numbers 404/31, 838/2283 is

GCF of Numerators i.e. for 404,838 is 2

LCM of denominators i.e. for 31,2283 is 70773.

Thus, GCF of Fractions is 2/70773.Finally, GCF of Fractions for 404/31, 838/2283 is 2/70773.