Greatest Common Factor of 330/19, 646/26, 133/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/19, 646/26, 133/32

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 330/19,646/26,133/32

Given fractions are 330/19,646/26,133/32

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 330,646,133

Greatest Common Factor of Numerators i.e. GCF of 330,646,133 is 1 .

LCM of Denominators means LCM of 19,26,32 as per the given fractions.

LCM of 19,26,32 is 7904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,646,133

GCF of Fractions 330/19,646/26,133/32 is 1/7904

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

Greatest Common Factor of 330,646,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,646,133 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 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

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 330,646,133 . The biggest common factor number is the GCF number.
So the greatest common factor 330,646,133 is 1.

Lets's calculate LCM of 19,26,32

2 19, 26, 32
19, 13, 16

∴ So the LCM of the given numbers is 2 x 19 x 13 x 16 = 7904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7904

Therefore, the GCF of Fractions 330/19,646/26,133/32 is 1/7904

Least Common Multiple of 19,26,32 with GCF Formula

Least Common Multiple of 19,26,32 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 19,26,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,26,32) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(19,26,32) x common factors =1 x 2 = 2

LCM(19,26,32) = ( 19 × 26 × 32 ) / 2

LCM(19,26,32) = 15808 / 2

LCM(19,26,32) = 7904


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, 646/26, 133/32

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, 646/26, 133/32?

Answer: GCF of Numerators as per given numbers 330/19, 646/26, 133/32 is

GCF of Numerators i.e. for 330,646,133 is 1

LCM of denominators i.e. for 19,26,32 is 7904.

Thus, GCF of Fractions is 1/7904.Finally, GCF of Fractions for 330/19, 646/26, 133/32 is 1/7904.