Greatest Common Factor of 933/51, 274/51, 210/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 933/51, 274/51, 210/199

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 933/51,274/51,210/199

Given fractions are 933/51,274/51,210/199

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 933,274,210

Greatest Common Factor of Numerators i.e. GCF of 933,274,210 is 1 .

LCM of Denominators means LCM of 51,51,199 as per the given fractions.

LCM of 51,51,199 is 10149 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 933,274,210

GCF of Fractions 933/51,274/51,210/199 is 1/10149

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

Greatest Common Factor of 933,274,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,274,210 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 933,274,210 . The biggest common factor number is the GCF number.
So the greatest common factor 933,274,210 is 1.

Lets's calculate LCM of 51,51,199

3 51, 51, 199
17 17, 17, 199
1, 1, 199

∴ So the LCM of the given numbers is 3 x 17 x 1 x 1 x 199 = 10149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10149

Therefore, the GCF of Fractions 933/51,274/51,210/199 is 1/10149

Least Common Multiple of 51,51,199 with GCF Formula

Least Common Multiple of 51,51,199 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 51,51,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,51,199) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(51,51,199) x common factors =1 x 51 = 51

LCM(51,51,199) = ( 51 × 51 × 199 ) / 51

LCM(51,51,199) = 517599 / 51

LCM(51,51,199) = 10149


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 933/51, 274/51, 210/199

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 933/51, 274/51, 210/199?

Answer: GCF of Numerators as per given numbers 933/51, 274/51, 210/199 is

GCF of Numerators i.e. for 933,274,210 is 1

LCM of denominators i.e. for 51,51,199 is 10149.

Thus, GCF of Fractions is 1/10149.Finally, GCF of Fractions for 933/51, 274/51, 210/199 is 1/10149.