Greatest Common Factor of 242/73, 6666/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 242/73, 6666/321

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 242/73,6666/321

Given fractions are 242/73,6666/321

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 242,6666

Greatest Common Factor of Numerators i.e. GCF of 242,6666 is 22 .

LCM of Denominators means LCM of 73,321 as per the given fractions.

LCM of 73,321 is 23433 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 242,6666

GCF of Fractions 242/73,6666/321 is 22/23433

2 242, 6666
11 121, 3333
11, 303

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 242,6666 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,6666 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 6666

List of positive integer factors of 6666 that divides 6666 without a remainder.

1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666

Greatest Common Factor

We found the factors 242,6666 . The biggest common factor number is the GCF number.
So the greatest common factor 242,6666 is 22.

Lets's calculate LCM of 73,321

Given numbers has no common factors except 1. So, there LCM is their product i.e 23433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/23433

Therefore, the GCF of Fractions 242/73,6666/321 is 22/23433

Least Common Multiple of 73,321 with GCF Formula

Least Common Multiple of 73,321 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 73,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,321) = 1

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

GCF(73,321) x common factors =1 x 1 = 1

LCM(73,321) = ( 73 × 321 ) / 1

LCM(73,321) = 23433 / 1

LCM(73,321) = 23433


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 242/73, 6666/321

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 242/73, 6666/321?

Answer: GCF of Numerators as per given numbers 242/73, 6666/321 is

GCF of Numerators i.e. for 242,6666 is 22

LCM of denominators i.e. for 73,321 is 23433.

Thus, GCF of Fractions is 22/23433.Finally, GCF of Fractions for 242/73, 6666/321 is 22/23433.