Greatest Common Factor of 1011/87, 3393/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1011/87, 3393/786

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 1011/87,3393/786

Given fractions are 1011/87,3393/786

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 1011,3393

Greatest Common Factor of Numerators i.e. GCF of 1011,3393 is 3 .

LCM of Denominators means LCM of 87,786 as per the given fractions.

LCM of 87,786 is 22794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1011,3393

GCF of Fractions 1011/87,3393/786 is 3/22794

3 1011, 3393
337, 1131

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

Greatest Common Factor of 1011,3393 By Matching Biggest Common Factor Method

Greatest Common Factor of 1011,3393 By Matching Biggest Common Factor Method

Factors of 1011

List of positive integer factors of 1011 that divides 1011 without a remainder.

1,3,337,1011

Factors of 3393

List of positive integer factors of 3393 that divides 3393 without a remainder.

1,3,9,13,29,39,87,117,261,377,1131,3393

Greatest Common Factor

We found the factors 1011,3393 . The biggest common factor number is the GCF number.
So the greatest common factor 1011,3393 is 3.

Lets's calculate LCM of 87,786

3 87, 786
29, 262

∴ So the LCM of the given numbers is 3 x 29 x 262 = 22794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22794

Therefore, the GCF of Fractions 1011/87,3393/786 is 3/22794

Least Common Multiple of 87,786 with GCF Formula

Least Common Multiple of 87,786 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 87,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,786) = 3

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

GCF(87,786) x common factors =3 x 1 = 3

LCM(87,786) = ( 87 × 786 ) / 3

LCM(87,786) = 68382 / 3

LCM(87,786) = 22794


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 1011/87, 3393/786

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 1011/87, 3393/786?

Answer: GCF of Numerators as per given numbers 1011/87, 3393/786 is

GCF of Numerators i.e. for 1011,3393 is 3

LCM of denominators i.e. for 87,786 is 22794.

Thus, GCF of Fractions is 3/22794.Finally, GCF of Fractions for 1011/87, 3393/786 is 3/22794.