Greatest Common Factor of 266/213, 327/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/213, 327/153

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 266/213,327/153

Given fractions are 266/213,327/153

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 266,327

Greatest Common Factor of Numerators i.e. GCF of 266,327 is 1 .

LCM of Denominators means LCM of 213,153 as per the given fractions.

LCM of 213,153 is 10863 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,327

GCF of Fractions 266/213,327/153 is 1/10863

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

Greatest Common Factor of 266,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,327 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 266,327 . The biggest common factor number is the GCF number.
So the greatest common factor 266,327 is 1.

Lets's calculate LCM of 213,153

3 213, 153
71, 51

∴ So the LCM of the given numbers is 3 x 71 x 51 = 10863

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10863

Therefore, the GCF of Fractions 266/213,327/153 is 1/10863

Least Common Multiple of 213,153 with GCF Formula

Least Common Multiple of 213,153 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 213,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,153) = 3

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

GCF(213,153) x common factors =3 x 1 = 3

LCM(213,153) = ( 213 × 153 ) / 3

LCM(213,153) = 32589 / 3

LCM(213,153) = 10863


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 266/213, 327/153

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 266/213, 327/153?

Answer: GCF of Numerators as per given numbers 266/213, 327/153 is

GCF of Numerators i.e. for 266,327 is 1

LCM of denominators i.e. for 213,153 is 10863.

Thus, GCF of Fractions is 1/10863.Finally, GCF of Fractions for 266/213, 327/153 is 1/10863.