Greatest Common Factor of 810/7170, 204/6519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 810/7170, 204/6519

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 810/7170,204/6519

Given fractions are 810/7170,204/6519

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 810,204

Greatest Common Factor of Numerators i.e. GCF of 810,204 is 6 .

LCM of Denominators means LCM of 7170,6519 as per the given fractions.

LCM of 7170,6519 is 15580410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 810,204

GCF of Fractions 810/7170,204/6519 is 6/15580410

2 810, 204
3 405, 102
135, 34

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

Greatest Common Factor of 810,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,204 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 810,204 . The biggest common factor number is the GCF number.
So the greatest common factor 810,204 is 6.

Lets's calculate LCM of 7170,6519

3 7170, 6519
2390, 2173

∴ So the LCM of the given numbers is 3 x 2390 x 2173 = 15580410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/15580410

Therefore, the GCF of Fractions 810/7170,204/6519 is 6/15580410

Least Common Multiple of 7170,6519 with GCF Formula

Least Common Multiple of 7170,6519 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 7170,6519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7170,6519) = 3

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

GCF(7170,6519) x common factors =3 x 1 = 3

LCM(7170,6519) = ( 7170 × 6519 ) / 3

LCM(7170,6519) = 46741230 / 3

LCM(7170,6519) = 15580410


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 810/7170, 204/6519

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 810/7170, 204/6519?

Answer: GCF of Numerators as per given numbers 810/7170, 204/6519 is

GCF of Numerators i.e. for 810,204 is 6

LCM of denominators i.e. for 7170,6519 is 15580410.

Thus, GCF of Fractions is 6/15580410.Finally, GCF of Fractions for 810/7170, 204/6519 is 6/15580410.