Greatest Common Factor of 666/44, 200/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 666/44, 200/213

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 666/44,200/213

Given fractions are 666/44,200/213

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 666,200

Greatest Common Factor of Numerators i.e. GCF of 666,200 is 2 .

LCM of Denominators means LCM of 44,213 as per the given fractions.

LCM of 44,213 is 9372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 666,200

GCF of Fractions 666/44,200/213 is 2/9372

2 666, 200
333, 100

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 666,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,200 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 666,200 . The biggest common factor number is the GCF number.
So the greatest common factor 666,200 is 2.

Lets's calculate LCM of 44,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 9372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9372

Therefore, the GCF of Fractions 666/44,200/213 is 2/9372

Least Common Multiple of 44,213 with GCF Formula

Least Common Multiple of 44,213 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 44,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,213) = 1

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

GCF(44,213) x common factors =1 x 1 = 1

LCM(44,213) = ( 44 × 213 ) / 1

LCM(44,213) = 9372 / 1

LCM(44,213) = 9372


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 666/44, 200/213

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 666/44, 200/213?

Answer: GCF of Numerators as per given numbers 666/44, 200/213 is

GCF of Numerators i.e. for 666,200 is 2

LCM of denominators i.e. for 44,213 is 9372.

Thus, GCF of Fractions is 2/9372.Finally, GCF of Fractions for 666/44, 200/213 is 2/9372.