Greatest Common Factor of 8409/712, 2098/9099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8409/712, 2098/9099

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 8409/712,2098/9099

Given fractions are 8409/712,2098/9099

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 8409,2098

Greatest Common Factor of Numerators i.e. GCF of 8409,2098 is 1 .

LCM of Denominators means LCM of 712,9099 as per the given fractions.

LCM of 712,9099 is 6478488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8409,2098

GCF of Fractions 8409/712,2098/9099 is 1/6478488

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

Greatest Common Factor of 8409,2098 By Matching Biggest Common Factor Method

Greatest Common Factor of 8409,2098 By Matching Biggest Common Factor Method

Factors of 8409

List of positive integer factors of 8409 that divides 8409 without a remainder.

1,3,2803,8409

Factors of 2098

List of positive integer factors of 2098 that divides 2098 without a remainder.

1,2,1049,2098

Greatest Common Factor

We found the factors 8409,2098 . The biggest common factor number is the GCF number.
So the greatest common factor 8409,2098 is 1.

Lets's calculate LCM of 712,9099

Given numbers has no common factors except 1. So, there LCM is their product i.e 6478488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6478488

Therefore, the GCF of Fractions 8409/712,2098/9099 is 1/6478488

Least Common Multiple of 712,9099 with GCF Formula

Least Common Multiple of 712,9099 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 712,9099 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,9099) = 1

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

GCF(712,9099) x common factors =1 x 1 = 1

LCM(712,9099) = ( 712 × 9099 ) / 1

LCM(712,9099) = 6478488 / 1

LCM(712,9099) = 6478488


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 8409/712, 2098/9099

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 8409/712, 2098/9099?

Answer: GCF of Numerators as per given numbers 8409/712, 2098/9099 is

GCF of Numerators i.e. for 8409,2098 is 1

LCM of denominators i.e. for 712,9099 is 6478488.

Thus, GCF of Fractions is 1/6478488.Finally, GCF of Fractions for 8409/712, 2098/9099 is 1/6478488.