Greatest Common Factor of 733/768, 165/627, 189/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/768, 165/627, 189/460

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 733/768,165/627,189/460

Given fractions are 733/768,165/627,189/460

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 733,165,189

Greatest Common Factor of Numerators i.e. GCF of 733,165,189 is 1 .

LCM of Denominators means LCM of 768,627,460 as per the given fractions.

LCM of 768,627,460 is 18458880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,165,189

GCF of Fractions 733/768,165/627,189/460 is 1/18458880

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

Greatest Common Factor of 733,165,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,165,189 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 733,165,189 . The biggest common factor number is the GCF number.
So the greatest common factor 733,165,189 is 1.

Lets's calculate LCM of 768,627,460

2 768, 627, 460
2 384, 627, 230
3 192, 627, 115
64, 209, 115

∴ So the LCM of the given numbers is 2 x 2 x 3 x 64 x 209 x 115 = 18458880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18458880

Therefore, the GCF of Fractions 733/768,165/627,189/460 is 1/18458880

Least Common Multiple of 768,627,460 with GCF Formula

Least Common Multiple of 768,627,460 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 768,627,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,627,460) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(768,627,460) x common factors =1 x 12 = 12

LCM(768,627,460) = ( 768 × 627 × 460 ) / 12

LCM(768,627,460) = 221506560 / 12

LCM(768,627,460) = 18458880


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 733/768, 165/627, 189/460

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 733/768, 165/627, 189/460?

Answer: GCF of Numerators as per given numbers 733/768, 165/627, 189/460 is

GCF of Numerators i.e. for 733,165,189 is 1

LCM of denominators i.e. for 768,627,460 is 18458880.

Thus, GCF of Fractions is 1/18458880.Finally, GCF of Fractions for 733/768, 165/627, 189/460 is 1/18458880.