Greatest Common Factor of 6687/33, 4008/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6687/33, 4008/111

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 6687/33,4008/111

Given fractions are 6687/33,4008/111

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 6687,4008

Greatest Common Factor of Numerators i.e. GCF of 6687,4008 is 3 .

LCM of Denominators means LCM of 33,111 as per the given fractions.

LCM of 33,111 is 1221 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6687,4008

GCF of Fractions 6687/33,4008/111 is 3/1221

3 6687, 4008
2229, 1336

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

Greatest Common Factor of 6687,4008 By Matching Biggest Common Factor Method

Greatest Common Factor of 6687,4008 By Matching Biggest Common Factor Method

Factors of 6687

List of positive integer factors of 6687 that divides 6687 without a remainder.

1,3,9,743,2229,6687

Factors of 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008

Greatest Common Factor

We found the factors 6687,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 6687,4008 is 3.

Lets's calculate LCM of 33,111

3 33, 111
11, 37

∴ So the LCM of the given numbers is 3 x 11 x 37 = 1221

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1221

Therefore, the GCF of Fractions 6687/33,4008/111 is 3/1221

Least Common Multiple of 33,111 with GCF Formula

Least Common Multiple of 33,111 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 33,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,111) = 3

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

GCF(33,111) x common factors =3 x 1 = 3

LCM(33,111) = ( 33 × 111 ) / 3

LCM(33,111) = 3663 / 3

LCM(33,111) = 1221


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 6687/33, 4008/111

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 6687/33, 4008/111?

Answer: GCF of Numerators as per given numbers 6687/33, 4008/111 is

GCF of Numerators i.e. for 6687,4008 is 3

LCM of denominators i.e. for 33,111 is 1221.

Thus, GCF of Fractions is 3/1221.Finally, GCF of Fractions for 6687/33, 4008/111 is 3/1221.