Greatest Common Factor of 9204/809, 6705/4057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9204/809, 6705/4057

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 9204/809,6705/4057

Given fractions are 9204/809,6705/4057

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 9204,6705

Greatest Common Factor of Numerators i.e. GCF of 9204,6705 is 3 .

LCM of Denominators means LCM of 809,4057 as per the given fractions.

LCM of 809,4057 is 3282113 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9204,6705

GCF of Fractions 9204/809,6705/4057 is 3/3282113

3 9204, 6705
3068, 2235

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

Greatest Common Factor of 9204,6705 By Matching Biggest Common Factor Method

Greatest Common Factor of 9204,6705 By Matching Biggest Common Factor Method

Factors of 9204

List of positive integer factors of 9204 that divides 9204 without a remainder.

1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

Greatest Common Factor

We found the factors 9204,6705 . The biggest common factor number is the GCF number.
So the greatest common factor 9204,6705 is 3.

Lets's calculate LCM of 809,4057

Given numbers has no common factors except 1. So, there LCM is their product i.e 3282113

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3282113

Therefore, the GCF of Fractions 9204/809,6705/4057 is 3/3282113

Least Common Multiple of 809,4057 with GCF Formula

Least Common Multiple of 809,4057 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 809,4057 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,4057) = 1

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

GCF(809,4057) x common factors =1 x 1 = 1

LCM(809,4057) = ( 809 × 4057 ) / 1

LCM(809,4057) = 3282113 / 1

LCM(809,4057) = 3282113


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 9204/809, 6705/4057

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 9204/809, 6705/4057?

Answer: GCF of Numerators as per given numbers 9204/809, 6705/4057 is

GCF of Numerators i.e. for 9204,6705 is 3

LCM of denominators i.e. for 809,4057 is 3282113.

Thus, GCF of Fractions is 3/3282113.Finally, GCF of Fractions for 9204/809, 6705/4057 is 3/3282113.