Greatest Common Factor of 50/36, 55/27, 33/40, 41/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/36, 55/27, 33/40, 41/728

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 50/36,55/27,33/40,41/728

Given fractions are 50/36,55/27,33/40,41/728

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 50,55,33,41

Greatest Common Factor of Numerators i.e. GCF of 50,55,33,41 is 1 .

LCM of Denominators means LCM of 36,27,40,728 as per the given fractions.

LCM of 36,27,40,728 is 98280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,55,33,41

GCF of Fractions 50/36,55/27,33/40,41/728 is 1/98280

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

Greatest Common Factor of 50,55,33,41 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,55,33,41 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Greatest Common Factor

We found the factors 50,55,33,41 . The biggest common factor number is the GCF number.
So the greatest common factor 50,55,33,41 is 1.

Lets's calculate LCM of 36,27,40,728

2 36, 27, 40, 728
2 18, 27, 20, 364
2 9, 27, 10, 182
3 9, 27, 5, 91
3 3, 9, 5, 91
1, 3, 5, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 3 x 5 x 91 = 98280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98280

Therefore, the GCF of Fractions 50/36,55/27,33/40,41/728 is 1/98280

Least Common Multiple of 36,27,40,728 with GCF Formula

Least Common Multiple of 36,27,40,728 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 36,27,40,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,27,40,728) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(36,27,40,728) x common factors =1 x 288 = 288

LCM(36,27,40,728) = ( 36 × 27 × 40 × 728 ) / 288

LCM(36,27,40,728) = 28304640 / 288

LCM(36,27,40,728) = 98280


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 50/36, 55/27, 33/40, 41/728

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 50/36, 55/27, 33/40, 41/728?

Answer: GCF of Numerators as per given numbers 50/36, 55/27, 33/40, 41/728 is

GCF of Numerators i.e. for 50,55,33,41 is 1

LCM of denominators i.e. for 36,27,40,728 is 98280.

Thus, GCF of Fractions is 1/98280.Finally, GCF of Fractions for 50/36, 55/27, 33/40, 41/728 is 1/98280.