Greatest Common Factor of 170/6774, 867/2730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/6774, 867/2730

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 170/6774,867/2730

Given fractions are 170/6774,867/2730

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 170,867

Greatest Common Factor of Numerators i.e. GCF of 170,867 is 17 .

LCM of Denominators means LCM of 6774,2730 as per the given fractions.

LCM of 6774,2730 is 3082170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,867

GCF of Fractions 170/6774,867/2730 is 17/3082170

17 170, 867
10, 51

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 170,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,867 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 170,867 . The biggest common factor number is the GCF number.
So the greatest common factor 170,867 is 17.

Lets's calculate LCM of 6774,2730

2 6774, 2730
3 3387, 1365
1129, 455

∴ So the LCM of the given numbers is 2 x 3 x 1129 x 455 = 3082170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3082170

Therefore, the GCF of Fractions 170/6774,867/2730 is 17/3082170

Least Common Multiple of 6774,2730 with GCF Formula

Least Common Multiple of 6774,2730 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 6774,2730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6774,2730) = 6

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

GCF(6774,2730) x common factors =6 x 1 = 6

LCM(6774,2730) = ( 6774 × 2730 ) / 6

LCM(6774,2730) = 18493020 / 6

LCM(6774,2730) = 3082170


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 170/6774, 867/2730

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 170/6774, 867/2730?

Answer: GCF of Numerators as per given numbers 170/6774, 867/2730 is

GCF of Numerators i.e. for 170,867 is 17

LCM of denominators i.e. for 6774,2730 is 3082170.

Thus, GCF of Fractions is 17/3082170.Finally, GCF of Fractions for 170/6774, 867/2730 is 17/3082170.