Greatest Common Factor of 816/67, 218/96, 872/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/67, 218/96, 872/33

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 816/67,218/96,872/33

Given fractions are 816/67,218/96,872/33

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 816,218,872

Greatest Common Factor of Numerators i.e. GCF of 816,218,872 is 2 .

LCM of Denominators means LCM of 67,96,33 as per the given fractions.

LCM of 67,96,33 is 70752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,218,872

GCF of Fractions 816/67,218/96,872/33 is 2/70752

2 816, 218, 872
408, 109, 436

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 816,218,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,218,872 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 816,218,872 . The biggest common factor number is the GCF number.
So the greatest common factor 816,218,872 is 2.

Lets's calculate LCM of 67,96,33

3 67, 96, 33
67, 32, 11

∴ So the LCM of the given numbers is 3 x 67 x 32 x 11 = 70752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70752

Therefore, the GCF of Fractions 816/67,218/96,872/33 is 2/70752

Least Common Multiple of 67,96,33 with GCF Formula

Least Common Multiple of 67,96,33 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 67,96,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,96,33) = 1

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

GCF(67,96,33) x common factors =1 x 3 = 3

LCM(67,96,33) = ( 67 × 96 × 33 ) / 3

LCM(67,96,33) = 212256 / 3

LCM(67,96,33) = 70752


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 816/67, 218/96, 872/33

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 816/67, 218/96, 872/33?

Answer: GCF of Numerators as per given numbers 816/67, 218/96, 872/33 is

GCF of Numerators i.e. for 816,218,872 is 2

LCM of denominators i.e. for 67,96,33 is 70752.

Thus, GCF of Fractions is 2/70752.Finally, GCF of Fractions for 816/67, 218/96, 872/33 is 2/70752.