Greatest Common Factor of 33/240, 93/232, 183/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/240, 93/232, 183/910

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 33/240,93/232,183/910

Given fractions are 33/240,93/232,183/910

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 33,93,183

Greatest Common Factor of Numerators i.e. GCF of 33,93,183 is 3 .

LCM of Denominators means LCM of 240,232,910 as per the given fractions.

LCM of 240,232,910 is 633360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,93,183

GCF of Fractions 33/240,93/232,183/910 is 3/633360

3 33, 93, 183
11, 31, 61

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 33,93,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,93,183 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 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 33,93,183 . The biggest common factor number is the GCF number.
So the greatest common factor 33,93,183 is 3.

Lets's calculate LCM of 240,232,910

2 240, 232, 910
2 120, 116, 455
2 60, 58, 455
5 30, 29, 455
6, 29, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 6 x 29 x 91 = 633360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/633360

Therefore, the GCF of Fractions 33/240,93/232,183/910 is 3/633360

Least Common Multiple of 240,232,910 with GCF Formula

Least Common Multiple of 240,232,910 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 240,232,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,232,910) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(240,232,910) x common factors =2 x 40 = 80

LCM(240,232,910) = ( 240 × 232 × 910 ) / 80

LCM(240,232,910) = 50668800 / 80

LCM(240,232,910) = 633360


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 33/240, 93/232, 183/910

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 33/240, 93/232, 183/910?

Answer: GCF of Numerators as per given numbers 33/240, 93/232, 183/910 is

GCF of Numerators i.e. for 33,93,183 is 3

LCM of denominators i.e. for 240,232,910 is 633360.

Thus, GCF of Fractions is 3/633360.Finally, GCF of Fractions for 33/240, 93/232, 183/910 is 3/633360.