Greatest Common Factor of 33/849, 671/667, 511/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/849, 671/667, 511/456

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 33/849,671/667,511/456

Given fractions are 33/849,671/667,511/456

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 33,671,511

Greatest Common Factor of Numerators i.e. GCF of 33,671,511 is 1 .

LCM of Denominators means LCM of 849,667,456 as per the given fractions.

LCM of 849,667,456 is 86075016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,671,511

GCF of Fractions 33/849,671/667,511/456 is 1/86075016

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

Greatest Common Factor of 33,671,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,671,511 By Matching Biggest Common Factor Method

Factors of 33

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

1,3,11,33

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 33,671,511 . The biggest common factor number is the GCF number.
So the greatest common factor 33,671,511 is 1.

Lets's calculate LCM of 849,667,456

3 849, 667, 456
283, 667, 152

∴ So the LCM of the given numbers is 3 x 283 x 667 x 152 = 86075016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86075016

Therefore, the GCF of Fractions 33/849,671/667,511/456 is 1/86075016

Least Common Multiple of 849,667,456 with GCF Formula

Least Common Multiple of 849,667,456 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 849,667,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,667,456) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(849,667,456) x common factors =1 x 3 = 3

LCM(849,667,456) = ( 849 × 667 × 456 ) / 3

LCM(849,667,456) = 258225048 / 3

LCM(849,667,456) = 86075016


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 33/849, 671/667, 511/456

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 33/849, 671/667, 511/456?

Answer: GCF of Numerators as per given numbers 33/849, 671/667, 511/456 is

GCF of Numerators i.e. for 33,671,511 is 1

LCM of denominators i.e. for 849,667,456 is 86075016.

Thus, GCF of Fractions is 1/86075016.Finally, GCF of Fractions for 33/849, 671/667, 511/456 is 1/86075016.