Greatest Common Factor of 330/43, 907/33, 775/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/43, 907/33, 775/198

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 330/43,907/33,775/198

Given fractions are 330/43,907/33,775/198

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 330,907,775

Greatest Common Factor of Numerators i.e. GCF of 330,907,775 is 1 .

LCM of Denominators means LCM of 43,33,198 as per the given fractions.

LCM of 43,33,198 is 8514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,907,775

GCF of Fractions 330/43,907/33,775/198 is 1/8514

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

Greatest Common Factor of 330,907,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,907,775 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 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 330,907,775 . The biggest common factor number is the GCF number.
So the greatest common factor 330,907,775 is 1.

Lets's calculate LCM of 43,33,198

3 43, 33, 198
11 43, 11, 66
43, 1, 6

∴ So the LCM of the given numbers is 3 x 11 x 43 x 1 x 6 = 8514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8514

Therefore, the GCF of Fractions 330/43,907/33,775/198 is 1/8514

Least Common Multiple of 43,33,198 with GCF Formula

Least Common Multiple of 43,33,198 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 43,33,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,33,198) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(43,33,198) x common factors =1 x 33 = 33

LCM(43,33,198) = ( 43 × 33 × 198 ) / 33

LCM(43,33,198) = 280962 / 33

LCM(43,33,198) = 8514


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 330/43, 907/33, 775/198

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 330/43, 907/33, 775/198?

Answer: GCF of Numerators as per given numbers 330/43, 907/33, 775/198 is

GCF of Numerators i.e. for 330,907,775 is 1

LCM of denominators i.e. for 43,33,198 is 8514.

Thus, GCF of Fractions is 1/8514.Finally, GCF of Fractions for 330/43, 907/33, 775/198 is 1/8514.