Greatest Common Factor of 990/30, 759/78, 243/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/30, 759/78, 243/328

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 990/30,759/78,243/328

Given fractions are 990/30,759/78,243/328

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 990,759,243

Greatest Common Factor of Numerators i.e. GCF of 990,759,243 is 3 .

LCM of Denominators means LCM of 30,78,328 as per the given fractions.

LCM of 30,78,328 is 63960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,759,243

GCF of Fractions 990/30,759/78,243/328 is 3/63960

3 990, 759, 243
330, 253, 81

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 990,759,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,759,243 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 990,759,243 . The biggest common factor number is the GCF number.
So the greatest common factor 990,759,243 is 3.

Lets's calculate LCM of 30,78,328

2 30, 78, 328
3 15, 39, 164
5, 13, 164

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 164 = 63960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/63960

Therefore, the GCF of Fractions 990/30,759/78,243/328 is 3/63960

Least Common Multiple of 30,78,328 with GCF Formula

Least Common Multiple of 30,78,328 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 30,78,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,78,328) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(30,78,328) x common factors =2 x 6 = 12

LCM(30,78,328) = ( 30 × 78 × 328 ) / 12

LCM(30,78,328) = 767520 / 12

LCM(30,78,328) = 63960


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 990/30, 759/78, 243/328

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 990/30, 759/78, 243/328?

Answer: GCF of Numerators as per given numbers 990/30, 759/78, 243/328 is

GCF of Numerators i.e. for 990,759,243 is 3

LCM of denominators i.e. for 30,78,328 is 63960.

Thus, GCF of Fractions is 3/63960.Finally, GCF of Fractions for 990/30, 759/78, 243/328 is 3/63960.