Greatest Common Factor of 9806/683, 3538/8310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9806/683, 3538/8310

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 9806/683,3538/8310

Given fractions are 9806/683,3538/8310

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 9806,3538

Greatest Common Factor of Numerators i.e. GCF of 9806,3538 is 2 .

LCM of Denominators means LCM of 683,8310 as per the given fractions.

LCM of 683,8310 is 5675730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9806,3538

GCF of Fractions 9806/683,3538/8310 is 2/5675730

2 9806, 3538
4903, 1769

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9806,3538 By Matching Biggest Common Factor Method

Greatest Common Factor of 9806,3538 By Matching Biggest Common Factor Method

Factors of 9806

List of positive integer factors of 9806 that divides 9806 without a remainder.

1,2,4903,9806

Factors of 3538

List of positive integer factors of 3538 that divides 3538 without a remainder.

1,2,29,58,61,122,1769,3538

Greatest Common Factor

We found the factors 9806,3538 . The biggest common factor number is the GCF number.
So the greatest common factor 9806,3538 is 2.

Lets's calculate LCM of 683,8310

Given numbers has no common factors except 1. So, there LCM is their product i.e 5675730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5675730

Therefore, the GCF of Fractions 9806/683,3538/8310 is 2/5675730

Least Common Multiple of 683,8310 with GCF Formula

Least Common Multiple of 683,8310 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 683,8310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,8310) = 1

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

GCF(683,8310) x common factors =1 x 1 = 1

LCM(683,8310) = ( 683 × 8310 ) / 1

LCM(683,8310) = 5675730 / 1

LCM(683,8310) = 5675730


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 9806/683, 3538/8310

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 9806/683, 3538/8310?

Answer: GCF of Numerators as per given numbers 9806/683, 3538/8310 is

GCF of Numerators i.e. for 9806,3538 is 2

LCM of denominators i.e. for 683,8310 is 5675730.

Thus, GCF of Fractions is 2/5675730.Finally, GCF of Fractions for 9806/683, 3538/8310 is 2/5675730.