Greatest Common Factor of 3483/743, 8199/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3483/743, 8199/323

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 3483/743,8199/323

Given fractions are 3483/743,8199/323

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 3483,8199

Greatest Common Factor of Numerators i.e. GCF of 3483,8199 is 9 .

LCM of Denominators means LCM of 743,323 as per the given fractions.

LCM of 743,323 is 239989 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3483,8199

GCF of Fractions 3483/743,8199/323 is 9/239989

3 3483, 8199
3 1161, 2733
387, 911

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3483,8199 By Matching Biggest Common Factor Method

Greatest Common Factor of 3483,8199 By Matching Biggest Common Factor Method

Factors of 3483

List of positive integer factors of 3483 that divides 3483 without a remainder.

1,3,9,27,43,81,129,387,1161,3483

Factors of 8199

List of positive integer factors of 8199 that divides 8199 without a remainder.

1,3,9,911,2733,8199

Greatest Common Factor

We found the factors 3483,8199 . The biggest common factor number is the GCF number.
So the greatest common factor 3483,8199 is 9.

Lets's calculate LCM of 743,323

Given numbers has no common factors except 1. So, there LCM is their product i.e 239989

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/239989

Therefore, the GCF of Fractions 3483/743,8199/323 is 9/239989

Least Common Multiple of 743,323 with GCF Formula

Least Common Multiple of 743,323 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 743,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,323) = 1

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

GCF(743,323) x common factors =1 x 1 = 1

LCM(743,323) = ( 743 × 323 ) / 1

LCM(743,323) = 239989 / 1

LCM(743,323) = 239989


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 3483/743, 8199/323

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 3483/743, 8199/323?

Answer: GCF of Numerators as per given numbers 3483/743, 8199/323 is

GCF of Numerators i.e. for 3483,8199 is 9

LCM of denominators i.e. for 743,323 is 239989.

Thus, GCF of Fractions is 9/239989.Finally, GCF of Fractions for 3483/743, 8199/323 is 9/239989.