Greatest Common Factor of 5/75, 20/33, 99/417, 903/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/75, 20/33, 99/417, 903/449

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 5/75,20/33,99/417,903/449

Given fractions are 5/75,20/33,99/417,903/449

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 5,20,99,903

Greatest Common Factor of Numerators i.e. GCF of 5,20,99,903 is 1 .

LCM of Denominators means LCM of 75,33,417,449 as per the given fractions.

LCM of 75,33,417,449 is 51489075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,20,99,903

GCF of Fractions 5/75,20/33,99/417,903/449 is 1/51489075

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

Greatest Common Factor of 5,20,99,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,20,99,903 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 5,20,99,903 . The biggest common factor number is the GCF number.
So the greatest common factor 5,20,99,903 is 1.

Lets's calculate LCM of 75,33,417,449

3 75, 33, 417, 449
25, 11, 139, 449

∴ So the LCM of the given numbers is 3 x 25 x 11 x 139 x 449 = 51489075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51489075

Therefore, the GCF of Fractions 5/75,20/33,99/417,903/449 is 1/51489075

Least Common Multiple of 75,33,417,449 with GCF Formula

Least Common Multiple of 75,33,417,449 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 75,33,417,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,33,417,449) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(75,33,417,449) x common factors =1 x 9 = 9

LCM(75,33,417,449) = ( 75 × 33 × 417 × 449 ) / 9

LCM(75,33,417,449) = 463401675 / 9

LCM(75,33,417,449) = 51489075


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 5/75, 20/33, 99/417, 903/449

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 5/75, 20/33, 99/417, 903/449?

Answer: GCF of Numerators as per given numbers 5/75, 20/33, 99/417, 903/449 is

GCF of Numerators i.e. for 5,20,99,903 is 1

LCM of denominators i.e. for 75,33,417,449 is 51489075.

Thus, GCF of Fractions is 1/51489075.Finally, GCF of Fractions for 5/75, 20/33, 99/417, 903/449 is 1/51489075.