Greatest Common Factor of 489/764, 6795/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 489/764, 6795/809

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 489/764,6795/809

Given fractions are 489/764,6795/809

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 489,6795

Greatest Common Factor of Numerators i.e. GCF of 489,6795 is 3 .

LCM of Denominators means LCM of 764,809 as per the given fractions.

LCM of 764,809 is 618076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 489,6795

GCF of Fractions 489/764,6795/809 is 3/618076

3 489, 6795
163, 2265

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

Greatest Common Factor of 489,6795 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,6795 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 6795

List of positive integer factors of 6795 that divides 6795 without a remainder.

1,3,5,9,15,45,151,453,755,1359,2265,6795

Greatest Common Factor

We found the factors 489,6795 . The biggest common factor number is the GCF number.
So the greatest common factor 489,6795 is 3.

Lets's calculate LCM of 764,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 618076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/618076

Therefore, the GCF of Fractions 489/764,6795/809 is 3/618076

Least Common Multiple of 764,809 with GCF Formula

Least Common Multiple of 764,809 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 764,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,809) = 1

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

GCF(764,809) x common factors =1 x 1 = 1

LCM(764,809) = ( 764 × 809 ) / 1

LCM(764,809) = 618076 / 1

LCM(764,809) = 618076


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 489/764, 6795/809

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 489/764, 6795/809?

Answer: GCF of Numerators as per given numbers 489/764, 6795/809 is

GCF of Numerators i.e. for 489,6795 is 3

LCM of denominators i.e. for 764,809 is 618076.

Thus, GCF of Fractions is 3/618076.Finally, GCF of Fractions for 489/764, 6795/809 is 3/618076.