Greatest Common Factor of 33/279, 440/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/279, 440/286

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 33/279,440/286

Given fractions are 33/279,440/286

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 33,440

Greatest Common Factor of Numerators i.e. GCF of 33,440 is 11 .

LCM of Denominators means LCM of 279,286 as per the given fractions.

LCM of 279,286 is 79794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,440

GCF of Fractions 33/279,440/286 is 11/79794

11 33, 440
3, 40

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

Greatest Common Factor of 33,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,440 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 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 33,440 . The biggest common factor number is the GCF number.
So the greatest common factor 33,440 is 11.

Lets's calculate LCM of 279,286

Given numbers has no common factors except 1. So, there LCM is their product i.e 79794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/79794

Therefore, the GCF of Fractions 33/279,440/286 is 11/79794

Least Common Multiple of 279,286 with GCF Formula

Least Common Multiple of 279,286 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 279,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,286) = 1

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

GCF(279,286) x common factors =1 x 1 = 1

LCM(279,286) = ( 279 × 286 ) / 1

LCM(279,286) = 79794 / 1

LCM(279,286) = 79794


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 33/279, 440/286

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 33/279, 440/286?

Answer: GCF of Numerators as per given numbers 33/279, 440/286 is

GCF of Numerators i.e. for 33,440 is 11

LCM of denominators i.e. for 279,286 is 79794.

Thus, GCF of Fractions is 11/79794.Finally, GCF of Fractions for 33/279, 440/286 is 11/79794.