Greatest Common Factor of 211/27, 394/66, 488/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 211/27, 394/66, 488/505

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 211/27,394/66,488/505

Given fractions are 211/27,394/66,488/505

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 211,394,488

Greatest Common Factor of Numerators i.e. GCF of 211,394,488 is 1 .

LCM of Denominators means LCM of 27,66,505 as per the given fractions.

LCM of 27,66,505 is 299970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 211,394,488

GCF of Fractions 211/27,394/66,488/505 is 1/299970

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

Greatest Common Factor of 211,394,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,394,488 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 211,394,488 . The biggest common factor number is the GCF number.
So the greatest common factor 211,394,488 is 1.

Lets's calculate LCM of 27,66,505

3 27, 66, 505
9, 22, 505

∴ So the LCM of the given numbers is 3 x 9 x 22 x 505 = 299970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299970

Therefore, the GCF of Fractions 211/27,394/66,488/505 is 1/299970

Least Common Multiple of 27,66,505 with GCF Formula

Least Common Multiple of 27,66,505 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 27,66,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,66,505) = 1

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

GCF(27,66,505) x common factors =1 x 3 = 3

LCM(27,66,505) = ( 27 × 66 × 505 ) / 3

LCM(27,66,505) = 899910 / 3

LCM(27,66,505) = 299970


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 211/27, 394/66, 488/505

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 211/27, 394/66, 488/505?

Answer: GCF of Numerators as per given numbers 211/27, 394/66, 488/505 is

GCF of Numerators i.e. for 211,394,488 is 1

LCM of denominators i.e. for 27,66,505 is 299970.

Thus, GCF of Fractions is 1/299970.Finally, GCF of Fractions for 211/27, 394/66, 488/505 is 1/299970.