Greatest Common Factor of 814/15, 333/5481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/15, 333/5481

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 814/15,333/5481

Given fractions are 814/15,333/5481

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 814,333

Greatest Common Factor of Numerators i.e. GCF of 814,333 is 37 .

LCM of Denominators means LCM of 15,5481 as per the given fractions.

LCM of 15,5481 is 27405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,333

GCF of Fractions 814/15,333/5481 is 37/27405

37 814, 333
22, 9

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 814,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,333 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 814,333 . The biggest common factor number is the GCF number.
So the greatest common factor 814,333 is 37.

Lets's calculate LCM of 15,5481

3 15, 5481
5, 1827

∴ So the LCM of the given numbers is 3 x 5 x 1827 = 27405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/27405

Therefore, the GCF of Fractions 814/15,333/5481 is 37/27405

Least Common Multiple of 15,5481 with GCF Formula

Least Common Multiple of 15,5481 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 15,5481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,5481) = 3

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

GCF(15,5481) x common factors =3 x 1 = 3

LCM(15,5481) = ( 15 × 5481 ) / 3

LCM(15,5481) = 82215 / 3

LCM(15,5481) = 27405


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 814/15, 333/5481

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 814/15, 333/5481?

Answer: GCF of Numerators as per given numbers 814/15, 333/5481 is

GCF of Numerators i.e. for 814,333 is 37

LCM of denominators i.e. for 15,5481 is 27405.

Thus, GCF of Fractions is 37/27405.Finally, GCF of Fractions for 814/15, 333/5481 is 37/27405.