Greatest Common Factor of 266/831, 288/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/831, 288/666

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 266/831,288/666

Given fractions are 266/831,288/666

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 266,288

Greatest Common Factor of Numerators i.e. GCF of 266,288 is 2 .

LCM of Denominators means LCM of 831,666 as per the given fractions.

LCM of 831,666 is 184482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,288

GCF of Fractions 266/831,288/666 is 2/184482

2 266, 288
133, 144

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

Greatest Common Factor of 266,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,288 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 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 266,288 . The biggest common factor number is the GCF number.
So the greatest common factor 266,288 is 2.

Lets's calculate LCM of 831,666

3 831, 666
277, 222

∴ So the LCM of the given numbers is 3 x 277 x 222 = 184482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/184482

Therefore, the GCF of Fractions 266/831,288/666 is 2/184482

Least Common Multiple of 831,666 with GCF Formula

Least Common Multiple of 831,666 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 831,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,666) = 3

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

GCF(831,666) x common factors =3 x 1 = 3

LCM(831,666) = ( 831 × 666 ) / 3

LCM(831,666) = 553446 / 3

LCM(831,666) = 184482


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 266/831, 288/666

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 266/831, 288/666?

Answer: GCF of Numerators as per given numbers 266/831, 288/666 is

GCF of Numerators i.e. for 266,288 is 2

LCM of denominators i.e. for 831,666 is 184482.

Thus, GCF of Fractions is 2/184482.Finally, GCF of Fractions for 266/831, 288/666 is 2/184482.