Greatest Common Factor of 266/543, 363/384, 244/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/543, 363/384, 244/201

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 266/543,363/384,244/201

Given fractions are 266/543,363/384,244/201

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 266,363,244

Greatest Common Factor of Numerators i.e. GCF of 266,363,244 is 1 .

LCM of Denominators means LCM of 543,384,201 as per the given fractions.

LCM of 543,384,201 is 4656768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,363,244

GCF of Fractions 266/543,363/384,244/201 is 1/4656768

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

Greatest Common Factor of 266,363,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,363,244 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 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 266,363,244 . The biggest common factor number is the GCF number.
So the greatest common factor 266,363,244 is 1.

Lets's calculate LCM of 543,384,201

3 543, 384, 201
181, 128, 67

∴ So the LCM of the given numbers is 3 x 181 x 128 x 67 = 4656768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4656768

Therefore, the GCF of Fractions 266/543,363/384,244/201 is 1/4656768

Least Common Multiple of 543,384,201 with GCF Formula

Least Common Multiple of 543,384,201 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 543,384,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,384,201) = 3

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

GCF(543,384,201) x common factors =3 x 3 = 9

LCM(543,384,201) = ( 543 × 384 × 201 ) / 9

LCM(543,384,201) = 41910912 / 9

LCM(543,384,201) = 4656768


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 266/543, 363/384, 244/201

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 266/543, 363/384, 244/201?

Answer: GCF of Numerators as per given numbers 266/543, 363/384, 244/201 is

GCF of Numerators i.e. for 266,363,244 is 1

LCM of denominators i.e. for 543,384,201 is 4656768.

Thus, GCF of Fractions is 1/4656768.Finally, GCF of Fractions for 266/543, 363/384, 244/201 is 1/4656768.