Greatest Common Factor of 330/19, 814/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/19, 814/450

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 330/19,814/450

Given fractions are 330/19,814/450

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 330,814

Greatest Common Factor of Numerators i.e. GCF of 330,814 is 22 .

LCM of Denominators means LCM of 19,450 as per the given fractions.

LCM of 19,450 is 8550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,814

GCF of Fractions 330/19,814/450 is 22/8550

2 330, 814
11 165, 407
15, 37

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 330,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,814 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 814

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

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

Greatest Common Factor

We found the factors 330,814 . The biggest common factor number is the GCF number.
So the greatest common factor 330,814 is 22.

Lets's calculate LCM of 19,450

Given numbers has no common factors except 1. So, there LCM is their product i.e 8550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/8550

Therefore, the GCF of Fractions 330/19,814/450 is 22/8550

Least Common Multiple of 19,450 with GCF Formula

Least Common Multiple of 19,450 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 19,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,450) = 1

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

GCF(19,450) x common factors =1 x 1 = 1

LCM(19,450) = ( 19 × 450 ) / 1

LCM(19,450) = 8550 / 1

LCM(19,450) = 8550


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 330/19, 814/450

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 330/19, 814/450?

Answer: GCF of Numerators as per given numbers 330/19, 814/450 is

GCF of Numerators i.e. for 330,814 is 22

LCM of denominators i.e. for 19,450 is 8550.

Thus, GCF of Fractions is 22/8550.Finally, GCF of Fractions for 330/19, 814/450 is 22/8550.