Greatest Common Factor of 666/53, 153/39, 713/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 666/53, 153/39, 713/198

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 666/53,153/39,713/198

Given fractions are 666/53,153/39,713/198

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 666,153,713

Greatest Common Factor of Numerators i.e. GCF of 666,153,713 is 1 .

LCM of Denominators means LCM of 53,39,198 as per the given fractions.

LCM of 53,39,198 is 136422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 666,153,713

GCF of Fractions 666/53,153/39,713/198 is 1/136422

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

Greatest Common Factor of 666,153,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,153,713 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 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 666,153,713 . The biggest common factor number is the GCF number.
So the greatest common factor 666,153,713 is 1.

Lets's calculate LCM of 53,39,198

3 53, 39, 198
53, 13, 66

∴ So the LCM of the given numbers is 3 x 53 x 13 x 66 = 136422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136422

Therefore, the GCF of Fractions 666/53,153/39,713/198 is 1/136422

Least Common Multiple of 53,39,198 with GCF Formula

Least Common Multiple of 53,39,198 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 53,39,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,39,198) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(53,39,198) x common factors =1 x 3 = 3

LCM(53,39,198) = ( 53 × 39 × 198 ) / 3

LCM(53,39,198) = 409266 / 3

LCM(53,39,198) = 136422


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 666/53, 153/39, 713/198

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 666/53, 153/39, 713/198?

Answer: GCF of Numerators as per given numbers 666/53, 153/39, 713/198 is

GCF of Numerators i.e. for 666,153,713 is 1

LCM of denominators i.e. for 53,39,198 is 136422.

Thus, GCF of Fractions is 1/136422.Finally, GCF of Fractions for 666/53, 153/39, 713/198 is 1/136422.