Greatest Common Factor of 306/885, 9945/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 306/885, 9945/993

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 306/885,9945/993

Given fractions are 306/885,9945/993

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 306,9945

Greatest Common Factor of Numerators i.e. GCF of 306,9945 is 153 .

LCM of Denominators means LCM of 885,993 as per the given fractions.

LCM of 885,993 is 292935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,9945

GCF of Fractions 306/885,9945/993 is 153/292935

3 306, 9945
3 102, 3315
17 34, 1105
2, 65

∴ So the GCF of the given numbers is 3 x 3 x 17 = 153

Greatest Common Factor of 306,9945 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,9945 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 9945

List of positive integer factors of 9945 that divides 9945 without a remainder.

1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945

Greatest Common Factor

We found the factors 306,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 306,9945 is 153.


Lets's calculate LCM of 885,993

3 885, 993
295, 331

∴ So the LCM of the given numbers is 3 x 295 x 331 = 292935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 153/292935

Therefore, the GCF of Fractions 306/885,9945/993 is 153/292935

Least Common Multiple of 885,993 with GCF Formula

Least Common Multiple of 885,993 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 885,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,993) = 3

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

GCF(885,993) x common factors =3 x 1 = 3

LCM(885,993) = ( 885 × 993 ) / 3

LCM(885,993) = 878805 / 3

LCM(885,993) = 292935


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 306/885, 9945/993

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 306/885, 9945/993?

Answer: GCF of Numerators as per given numbers 306/885, 9945/993 is

GCF of Numerators i.e. for 306,9945 is 153

LCM of denominators i.e. for 885,993 is 292935.

Thus, GCF of Fractions is 153/292935.Finally, GCF of Fractions for 306/885, 9945/993 is 153/292935.