Greatest Common Factor of 756/33, 999/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/33, 999/822

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 756/33,999/822

Given fractions are 756/33,999/822

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 756,999

Greatest Common Factor of Numerators i.e. GCF of 756,999 is 27 .

LCM of Denominators means LCM of 33,822 as per the given fractions.

LCM of 33,822 is 9042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,999

GCF of Fractions 756/33,999/822 is 27/9042

3 756, 999
3 252, 333
3 84, 111
28, 37

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 756,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,999 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 756,999 . The biggest common factor number is the GCF number.
So the greatest common factor 756,999 is 27.

Lets's calculate LCM of 33,822

3 33, 822
11, 274

∴ So the LCM of the given numbers is 3 x 11 x 274 = 9042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/9042

Therefore, the GCF of Fractions 756/33,999/822 is 27/9042

Least Common Multiple of 33,822 with GCF Formula

Least Common Multiple of 33,822 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 33,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,822) = 3

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

GCF(33,822) x common factors =3 x 1 = 3

LCM(33,822) = ( 33 × 822 ) / 3

LCM(33,822) = 27126 / 3

LCM(33,822) = 9042


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 756/33, 999/822

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 756/33, 999/822?

Answer: GCF of Numerators as per given numbers 756/33, 999/822 is

GCF of Numerators i.e. for 756,999 is 27

LCM of denominators i.e. for 33,822 is 9042.

Thus, GCF of Fractions is 27/9042.Finally, GCF of Fractions for 756/33, 999/822 is 27/9042.