Greatest Common Factor of 133/459, 107/675, 505/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/459, 107/675, 505/395

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 133/459,107/675,505/395

Given fractions are 133/459,107/675,505/395

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 133,107,505

Greatest Common Factor of Numerators i.e. GCF of 133,107,505 is 1 .

LCM of Denominators means LCM of 459,675,395 as per the given fractions.

LCM of 459,675,395 is 906525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,107,505

GCF of Fractions 133/459,107/675,505/395 is 1/906525

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

Greatest Common Factor of 133,107,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,107,505 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 133,107,505 . The biggest common factor number is the GCF number.
So the greatest common factor 133,107,505 is 1.

Lets's calculate LCM of 459,675,395

3 459, 675, 395
3 153, 225, 395
3 51, 75, 395
5 17, 25, 395
17, 5, 79

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 17 x 5 x 79 = 906525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/906525

Therefore, the GCF of Fractions 133/459,107/675,505/395 is 1/906525

Least Common Multiple of 459,675,395 with GCF Formula

Least Common Multiple of 459,675,395 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 459,675,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,675,395) = 1

common factors(in case of two or more numbers have common factors) = 135

GCF(459,675,395) x common factors =1 x 135 = 135

LCM(459,675,395) = ( 459 × 675 × 395 ) / 135

LCM(459,675,395) = 122380875 / 135

LCM(459,675,395) = 906525


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 133/459, 107/675, 505/395

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 133/459, 107/675, 505/395?

Answer: GCF of Numerators as per given numbers 133/459, 107/675, 505/395 is

GCF of Numerators i.e. for 133,107,505 is 1

LCM of denominators i.e. for 459,675,395 is 906525.

Thus, GCF of Fractions is 1/906525.Finally, GCF of Fractions for 133/459, 107/675, 505/395 is 1/906525.