Greatest Common Factor of 3819/66, 6067/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3819/66, 6067/423

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 3819/66,6067/423

Given fractions are 3819/66,6067/423

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 3819,6067

Greatest Common Factor of Numerators i.e. GCF of 3819,6067 is 1 .

LCM of Denominators means LCM of 66,423 as per the given fractions.

LCM of 66,423 is 9306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3819,6067

GCF of Fractions 3819/66,6067/423 is 1/9306

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

Greatest Common Factor of 3819,6067 By Matching Biggest Common Factor Method

Greatest Common Factor of 3819,6067 By Matching Biggest Common Factor Method

Factors of 3819

List of positive integer factors of 3819 that divides 3819 without a remainder.

1,3,19,57,67,201,1273,3819

Factors of 6067

List of positive integer factors of 6067 that divides 6067 without a remainder.

1,6067

Greatest Common Factor

We found the factors 3819,6067 . The biggest common factor number is the GCF number.
So the greatest common factor 3819,6067 is 1.

Lets's calculate LCM of 66,423

3 66, 423
22, 141

∴ So the LCM of the given numbers is 3 x 22 x 141 = 9306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9306

Therefore, the GCF of Fractions 3819/66,6067/423 is 1/9306

Least Common Multiple of 66,423 with GCF Formula

Least Common Multiple of 66,423 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 66,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,423) = 3

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

GCF(66,423) x common factors =3 x 1 = 3

LCM(66,423) = ( 66 × 423 ) / 3

LCM(66,423) = 27918 / 3

LCM(66,423) = 9306


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 3819/66, 6067/423

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 3819/66, 6067/423?

Answer: GCF of Numerators as per given numbers 3819/66, 6067/423 is

GCF of Numerators i.e. for 3819,6067 is 1

LCM of denominators i.e. for 66,423 is 9306.

Thus, GCF of Fractions is 1/9306.Finally, GCF of Fractions for 3819/66, 6067/423 is 1/9306.