Greatest Common Factor of 6405/52, 2309/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6405/52, 2309/804

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 6405/52,2309/804

Given fractions are 6405/52,2309/804

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 6405,2309

Greatest Common Factor of Numerators i.e. GCF of 6405,2309 is 1 .

LCM of Denominators means LCM of 52,804 as per the given fractions.

LCM of 52,804 is 10452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6405,2309

GCF of Fractions 6405/52,2309/804 is 1/10452

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6405,2309 By Matching Biggest Common Factor Method

Greatest Common Factor of 6405,2309 By Matching Biggest Common Factor Method

Factors of 6405

List of positive integer factors of 6405 that divides 6405 without a remainder.

1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405

Factors of 2309

List of positive integer factors of 2309 that divides 2309 without a remainder.

1,2309

Greatest Common Factor

We found the factors 6405,2309 . The biggest common factor number is the GCF number.
So the greatest common factor 6405,2309 is 1.

Lets's calculate LCM of 52,804

2 52, 804
2 26, 402
13, 201

∴ So the LCM of the given numbers is 2 x 2 x 13 x 201 = 10452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10452

Therefore, the GCF of Fractions 6405/52,2309/804 is 1/10452

Least Common Multiple of 52,804 with GCF Formula

Least Common Multiple of 52,804 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 52,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,804) = 4

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

GCF(52,804) x common factors =4 x 1 = 4

LCM(52,804) = ( 52 × 804 ) / 4

LCM(52,804) = 41808 / 4

LCM(52,804) = 10452


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 6405/52, 2309/804

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 6405/52, 2309/804?

Answer: GCF of Numerators as per given numbers 6405/52, 2309/804 is

GCF of Numerators i.e. for 6405,2309 is 1

LCM of denominators i.e. for 52,804 is 10452.

Thus, GCF of Fractions is 1/10452.Finally, GCF of Fractions for 6405/52, 2309/804 is 1/10452.