Greatest Common Factor of 990/927, 9731/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/927, 9731/312

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 990/927,9731/312

Given fractions are 990/927,9731/312

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 990,9731

Greatest Common Factor of Numerators i.e. GCF of 990,9731 is 1 .

LCM of Denominators means LCM of 927,312 as per the given fractions.

LCM of 927,312 is 96408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,9731

GCF of Fractions 990/927,9731/312 is 1/96408

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

Greatest Common Factor of 990,9731 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,9731 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 9731

List of positive integer factors of 9731 that divides 9731 without a remainder.

1,37,263,9731

Greatest Common Factor

We found the factors 990,9731 . The biggest common factor number is the GCF number.
So the greatest common factor 990,9731 is 1.

Lets's calculate LCM of 927,312

3 927, 312
309, 104

∴ So the LCM of the given numbers is 3 x 309 x 104 = 96408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96408

Therefore, the GCF of Fractions 990/927,9731/312 is 1/96408

Least Common Multiple of 927,312 with GCF Formula

Least Common Multiple of 927,312 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 927,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,312) = 3

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

GCF(927,312) x common factors =3 x 1 = 3

LCM(927,312) = ( 927 × 312 ) / 3

LCM(927,312) = 289224 / 3

LCM(927,312) = 96408


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 990/927, 9731/312

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 990/927, 9731/312?

Answer: GCF of Numerators as per given numbers 990/927, 9731/312 is

GCF of Numerators i.e. for 990,9731 is 1

LCM of denominators i.e. for 927,312 is 96408.

Thus, GCF of Fractions is 1/96408.Finally, GCF of Fractions for 990/927, 9731/312 is 1/96408.