Greatest Common Factor of 6774/882, 3366/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6774/882, 3366/491

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 6774/882,3366/491

Given fractions are 6774/882,3366/491

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 6774,3366

Greatest Common Factor of Numerators i.e. GCF of 6774,3366 is 6 .

LCM of Denominators means LCM of 882,491 as per the given fractions.

LCM of 882,491 is 433062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6774,3366

GCF of Fractions 6774/882,3366/491 is 6/433062

2 6774, 3366
3 3387, 1683
1129, 561

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6774,3366 By Matching Biggest Common Factor Method

Greatest Common Factor of 6774,3366 By Matching Biggest Common Factor Method

Factors of 6774

List of positive integer factors of 6774 that divides 6774 without a remainder.

1,2,3,6,1129,2258,3387,6774

Factors of 3366

List of positive integer factors of 3366 that divides 3366 without a remainder.

1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366

Greatest Common Factor

We found the factors 6774,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 6774,3366 is 6.

Lets's calculate LCM of 882,491

Given numbers has no common factors except 1. So, there LCM is their product i.e 433062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/433062

Therefore, the GCF of Fractions 6774/882,3366/491 is 6/433062

Least Common Multiple of 882,491 with GCF Formula

Least Common Multiple of 882,491 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 882,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,491) = 1

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

GCF(882,491) x common factors =1 x 1 = 1

LCM(882,491) = ( 882 × 491 ) / 1

LCM(882,491) = 433062 / 1

LCM(882,491) = 433062


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 6774/882, 3366/491

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 6774/882, 3366/491?

Answer: GCF of Numerators as per given numbers 6774/882, 3366/491 is

GCF of Numerators i.e. for 6774,3366 is 6

LCM of denominators i.e. for 882,491 is 433062.

Thus, GCF of Fractions is 6/433062.Finally, GCF of Fractions for 6774/882, 3366/491 is 6/433062.