Greatest Common Factor of 29/81, 28/36, 200/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/81, 28/36, 200/264

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 29/81,28/36,200/264

Given fractions are 29/81,28/36,200/264

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 29,28,200

Greatest Common Factor of Numerators i.e. GCF of 29,28,200 is 1 .

LCM of Denominators means LCM of 81,36,264 as per the given fractions.

LCM of 81,36,264 is 7128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,28,200

GCF of Fractions 29/81,28/36,200/264 is 1/7128

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

Greatest Common Factor of 29,28,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,28,200 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 29,28,200 . The biggest common factor number is the GCF number.
So the greatest common factor 29,28,200 is 1.

Lets's calculate LCM of 81,36,264

2 81, 36, 264
2 81, 18, 132
3 81, 9, 66
3 27, 3, 22
9, 1, 22

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 9 x 1 x 22 = 7128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7128

Therefore, the GCF of Fractions 29/81,28/36,200/264 is 1/7128

Least Common Multiple of 81,36,264 with GCF Formula

Least Common Multiple of 81,36,264 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 81,36,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,36,264) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(81,36,264) x common factors =3 x 36 = 108

LCM(81,36,264) = ( 81 × 36 × 264 ) / 108

LCM(81,36,264) = 769824 / 108

LCM(81,36,264) = 7128


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 29/81, 28/36, 200/264

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 29/81, 28/36, 200/264?

Answer: GCF of Numerators as per given numbers 29/81, 28/36, 200/264 is

GCF of Numerators i.e. for 29,28,200 is 1

LCM of denominators i.e. for 81,36,264 is 7128.

Thus, GCF of Fractions is 1/7128.Finally, GCF of Fractions for 29/81, 28/36, 200/264 is 1/7128.