Greatest Common Factor of 266/90, 558/2006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/90, 558/2006

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 266/90,558/2006

Given fractions are 266/90,558/2006

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 266,558

Greatest Common Factor of Numerators i.e. GCF of 266,558 is 2 .

LCM of Denominators means LCM of 90,2006 as per the given fractions.

LCM of 90,2006 is 90270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,558

GCF of Fractions 266/90,558/2006 is 2/90270

2 266, 558
133, 279

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

Greatest Common Factor of 266,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,558 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 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 266,558 . The biggest common factor number is the GCF number.
So the greatest common factor 266,558 is 2.

Lets's calculate LCM of 90,2006

2 90, 2006
45, 1003

∴ So the LCM of the given numbers is 2 x 45 x 1003 = 90270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90270

Therefore, the GCF of Fractions 266/90,558/2006 is 2/90270

Least Common Multiple of 90,2006 with GCF Formula

Least Common Multiple of 90,2006 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 90,2006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,2006) = 2

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

GCF(90,2006) x common factors =2 x 1 = 2

LCM(90,2006) = ( 90 × 2006 ) / 2

LCM(90,2006) = 180540 / 2

LCM(90,2006) = 90270


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 266/90, 558/2006

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 266/90, 558/2006?

Answer: GCF of Numerators as per given numbers 266/90, 558/2006 is

GCF of Numerators i.e. for 266,558 is 2

LCM of denominators i.e. for 90,2006 is 90270.

Thus, GCF of Fractions is 2/90270.Finally, GCF of Fractions for 266/90, 558/2006 is 2/90270.