Greatest Common Factor of 33/212, 143/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/212, 143/336

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 33/212,143/336

Given fractions are 33/212,143/336

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 33,143

Greatest Common Factor of Numerators i.e. GCF of 33,143 is 11 .

LCM of Denominators means LCM of 212,336 as per the given fractions.

LCM of 212,336 is 17808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,143

GCF of Fractions 33/212,143/336 is 11/17808

11 33, 143
3, 13

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 33,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,143 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 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 33,143 . The biggest common factor number is the GCF number.
So the greatest common factor 33,143 is 11.

Lets's calculate LCM of 212,336

2 212, 336
2 106, 168
53, 84

∴ So the LCM of the given numbers is 2 x 2 x 53 x 84 = 17808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/17808

Therefore, the GCF of Fractions 33/212,143/336 is 11/17808

Least Common Multiple of 212,336 with GCF Formula

Least Common Multiple of 212,336 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 212,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,336) = 4

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

GCF(212,336) x common factors =4 x 1 = 4

LCM(212,336) = ( 212 × 336 ) / 4

LCM(212,336) = 71232 / 4

LCM(212,336) = 17808


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 33/212, 143/336

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 33/212, 143/336?

Answer: GCF of Numerators as per given numbers 33/212, 143/336 is

GCF of Numerators i.e. for 33,143 is 11

LCM of denominators i.e. for 212,336 is 17808.

Thus, GCF of Fractions is 11/17808.Finally, GCF of Fractions for 33/212, 143/336 is 11/17808.