Greatest Common Factor of 8406/738, 3823/8409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8406/738, 3823/8409

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 8406/738,3823/8409

Given fractions are 8406/738,3823/8409

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 8406,3823

Greatest Common Factor of Numerators i.e. GCF of 8406,3823 is 1 .

LCM of Denominators means LCM of 738,8409 as per the given fractions.

LCM of 738,8409 is 2068614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8406,3823

GCF of Fractions 8406/738,3823/8409 is 1/2068614

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

Greatest Common Factor of 8406,3823 By Matching Biggest Common Factor Method

Greatest Common Factor of 8406,3823 By Matching Biggest Common Factor Method

Factors of 8406

List of positive integer factors of 8406 that divides 8406 without a remainder.

1,2,3,6,9,18,467,934,1401,2802,4203,8406

Factors of 3823

List of positive integer factors of 3823 that divides 3823 without a remainder.

1,3823

Greatest Common Factor

We found the factors 8406,3823 . The biggest common factor number is the GCF number.
So the greatest common factor 8406,3823 is 1.

Lets's calculate LCM of 738,8409

3 738, 8409
246, 2803

∴ So the LCM of the given numbers is 3 x 246 x 2803 = 2068614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2068614

Therefore, the GCF of Fractions 8406/738,3823/8409 is 1/2068614

Least Common Multiple of 738,8409 with GCF Formula

Least Common Multiple of 738,8409 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 738,8409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,8409) = 3

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

GCF(738,8409) x common factors =3 x 1 = 3

LCM(738,8409) = ( 738 × 8409 ) / 3

LCM(738,8409) = 6205842 / 3

LCM(738,8409) = 2068614


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 8406/738, 3823/8409

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 8406/738, 3823/8409?

Answer: GCF of Numerators as per given numbers 8406/738, 3823/8409 is

GCF of Numerators i.e. for 8406,3823 is 1

LCM of denominators i.e. for 738,8409 is 2068614.

Thus, GCF of Fractions is 1/2068614.Finally, GCF of Fractions for 8406/738, 3823/8409 is 1/2068614.