Greatest Common Factor of 3123/741, 5199/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3123/741, 5199/809

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 3123/741,5199/809

Given fractions are 3123/741,5199/809

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 3123,5199

Greatest Common Factor of Numerators i.e. GCF of 3123,5199 is 3 .

LCM of Denominators means LCM of 741,809 as per the given fractions.

LCM of 741,809 is 599469 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3123,5199

GCF of Fractions 3123/741,5199/809 is 3/599469

3 3123, 5199
1041, 1733

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

Greatest Common Factor of 3123,5199 By Matching Biggest Common Factor Method

Greatest Common Factor of 3123,5199 By Matching Biggest Common Factor Method

Factors of 3123

List of positive integer factors of 3123 that divides 3123 without a remainder.

1,3,9,347,1041,3123

Factors of 5199

List of positive integer factors of 5199 that divides 5199 without a remainder.

1,3,1733,5199

Greatest Common Factor

We found the factors 3123,5199 . The biggest common factor number is the GCF number.
So the greatest common factor 3123,5199 is 3.

Lets's calculate LCM of 741,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 599469

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/599469

Therefore, the GCF of Fractions 3123/741,5199/809 is 3/599469

Least Common Multiple of 741,809 with GCF Formula

Least Common Multiple of 741,809 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 741,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,809) = 1

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

GCF(741,809) x common factors =1 x 1 = 1

LCM(741,809) = ( 741 × 809 ) / 1

LCM(741,809) = 599469 / 1

LCM(741,809) = 599469


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 3123/741, 5199/809

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 3123/741, 5199/809?

Answer: GCF of Numerators as per given numbers 3123/741, 5199/809 is

GCF of Numerators i.e. for 3123,5199 is 3

LCM of denominators i.e. for 741,809 is 599469.

Thus, GCF of Fractions is 3/599469.Finally, GCF of Fractions for 3123/741, 5199/809 is 3/599469.