Greatest Common Factor of 404/35, 809/40, 133/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 404/35, 809/40, 133/307

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 404/35,809/40,133/307

Given fractions are 404/35,809/40,133/307

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 404,809,133

Greatest Common Factor of Numerators i.e. GCF of 404,809,133 is 1 .

LCM of Denominators means LCM of 35,40,307 as per the given fractions.

LCM of 35,40,307 is 85960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 404,809,133

GCF of Fractions 404/35,809/40,133/307 is 1/85960

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

Greatest Common Factor of 404,809,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,809,133 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 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 404,809,133 . The biggest common factor number is the GCF number.
So the greatest common factor 404,809,133 is 1.

Lets's calculate LCM of 35,40,307

5 35, 40, 307
7, 8, 307

∴ So the LCM of the given numbers is 5 x 7 x 8 x 307 = 85960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85960

Therefore, the GCF of Fractions 404/35,809/40,133/307 is 1/85960

Least Common Multiple of 35,40,307 with GCF Formula

Least Common Multiple of 35,40,307 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 35,40,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,40,307) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,40,307) x common factors =1 x 5 = 5

LCM(35,40,307) = ( 35 × 40 × 307 ) / 5

LCM(35,40,307) = 429800 / 5

LCM(35,40,307) = 85960


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 404/35, 809/40, 133/307

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 404/35, 809/40, 133/307?

Answer: GCF of Numerators as per given numbers 404/35, 809/40, 133/307 is

GCF of Numerators i.e. for 404,809,133 is 1

LCM of denominators i.e. for 35,40,307 is 85960.

Thus, GCF of Fractions is 1/85960.Finally, GCF of Fractions for 404/35, 809/40, 133/307 is 1/85960.