Greatest Common Factor of 333/76, 350/36, 146/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 333/76, 350/36, 146/31

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 333/76,350/36,146/31

Given fractions are 333/76,350/36,146/31

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 333,350,146

Greatest Common Factor of Numerators i.e. GCF of 333,350,146 is 1 .

LCM of Denominators means LCM of 76,36,31 as per the given fractions.

LCM of 76,36,31 is 21204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 333,350,146

GCF of Fractions 333/76,350/36,146/31 is 1/21204

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

Greatest Common Factor of 333,350,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,350,146 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 333,350,146 . The biggest common factor number is the GCF number.
So the greatest common factor 333,350,146 is 1.

Lets's calculate LCM of 76,36,31

2 76, 36, 31
2 38, 18, 31
19, 9, 31

∴ So the LCM of the given numbers is 2 x 2 x 19 x 9 x 31 = 21204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21204

Therefore, the GCF of Fractions 333/76,350/36,146/31 is 1/21204

Least Common Multiple of 76,36,31 with GCF Formula

Least Common Multiple of 76,36,31 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 76,36,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,36,31) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,36,31) x common factors =1 x 4 = 4

LCM(76,36,31) = ( 76 × 36 × 31 ) / 4

LCM(76,36,31) = 84816 / 4

LCM(76,36,31) = 21204


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 333/76, 350/36, 146/31

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 333/76, 350/36, 146/31?

Answer: GCF of Numerators as per given numbers 333/76, 350/36, 146/31 is

GCF of Numerators i.e. for 333,350,146 is 1

LCM of denominators i.e. for 76,36,31 is 21204.

Thus, GCF of Fractions is 1/21204.Finally, GCF of Fractions for 333/76, 350/36, 146/31 is 1/21204.