Greatest Common Factor of 199/219, 1043/6669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 199/219, 1043/6669

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 199/219,1043/6669

Given fractions are 199/219,1043/6669

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 199,1043

Greatest Common Factor of Numerators i.e. GCF of 199,1043 is 1 .

LCM of Denominators means LCM of 219,6669 as per the given fractions.

LCM of 219,6669 is 486837 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 199,1043

GCF of Fractions 199/219,1043/6669 is 1/486837

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

Greatest Common Factor of 199,1043 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,1043 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 1043

List of positive integer factors of 1043 that divides 1043 without a remainder.

1,7,149,1043

Greatest Common Factor

We found the factors 199,1043 . The biggest common factor number is the GCF number.
So the greatest common factor 199,1043 is 1.

Lets's calculate LCM of 219,6669

3 219, 6669
73, 2223

∴ So the LCM of the given numbers is 3 x 73 x 2223 = 486837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486837

Therefore, the GCF of Fractions 199/219,1043/6669 is 1/486837

Least Common Multiple of 219,6669 with GCF Formula

Least Common Multiple of 219,6669 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 219,6669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,6669) = 3

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

GCF(219,6669) x common factors =3 x 1 = 3

LCM(219,6669) = ( 219 × 6669 ) / 3

LCM(219,6669) = 1460511 / 3

LCM(219,6669) = 486837


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 199/219, 1043/6669

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 199/219, 1043/6669?

Answer: GCF of Numerators as per given numbers 199/219, 1043/6669 is

GCF of Numerators i.e. for 199,1043 is 1

LCM of denominators i.e. for 219,6669 is 486837.

Thus, GCF of Fractions is 1/486837.Finally, GCF of Fractions for 199/219, 1043/6669 is 1/486837.