Greatest Common Factor of 133/18, 5284/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/18, 5284/896

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 133/18,5284/896

Given fractions are 133/18,5284/896

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 133,5284

Greatest Common Factor of Numerators i.e. GCF of 133,5284 is 1 .

LCM of Denominators means LCM of 18,896 as per the given fractions.

LCM of 18,896 is 8064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,5284

GCF of Fractions 133/18,5284/896 is 1/8064

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

Greatest Common Factor of 133,5284 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,5284 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 5284

List of positive integer factors of 5284 that divides 5284 without a remainder.

1,2,4,1321,2642,5284

Greatest Common Factor

We found the factors 133,5284 . The biggest common factor number is the GCF number.
So the greatest common factor 133,5284 is 1.

Lets's calculate LCM of 18,896

2 18, 896
9, 448

∴ So the LCM of the given numbers is 2 x 9 x 448 = 8064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8064

Therefore, the GCF of Fractions 133/18,5284/896 is 1/8064

Least Common Multiple of 18,896 with GCF Formula

Least Common Multiple of 18,896 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 18,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,896) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(18,896) x common factors =2 x 1 = 2

LCM(18,896) = ( 18 × 896 ) / 2

LCM(18,896) = 16128 / 2

LCM(18,896) = 8064


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 133/18, 5284/896

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 133/18, 5284/896?

Answer: GCF of Numerators as per given numbers 133/18, 5284/896 is

GCF of Numerators i.e. for 133,5284 is 1

LCM of denominators i.e. for 18,896 is 8064.

Thus, GCF of Fractions is 1/8064.Finally, GCF of Fractions for 133/18, 5284/896 is 1/8064.