Greatest Common Factor of 830/201, 355/930, 105/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/201, 355/930, 105/631

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 830/201,355/930,105/631

Given fractions are 830/201,355/930,105/631

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 830,355,105

Greatest Common Factor of Numerators i.e. GCF of 830,355,105 is 5 .

LCM of Denominators means LCM of 201,930,631 as per the given fractions.

LCM of 201,930,631 is 39317610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,355,105

GCF of Fractions 830/201,355/930,105/631 is 5/39317610

5 830, 355, 105
166, 71, 21

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 830,355,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,355,105 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 830,355,105 . The biggest common factor number is the GCF number.
So the greatest common factor 830,355,105 is 5.

Lets's calculate LCM of 201,930,631

3 201, 930, 631
67, 310, 631

∴ So the LCM of the given numbers is 3 x 67 x 310 x 631 = 39317610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/39317610

Therefore, the GCF of Fractions 830/201,355/930,105/631 is 5/39317610

Least Common Multiple of 201,930,631 with GCF Formula

Least Common Multiple of 201,930,631 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 201,930,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,930,631) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(201,930,631) x common factors =1 x 3 = 3

LCM(201,930,631) = ( 201 × 930 × 631 ) / 3

LCM(201,930,631) = 117952830 / 3

LCM(201,930,631) = 39317610


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 830/201, 355/930, 105/631

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 830/201, 355/930, 105/631?

Answer: GCF of Numerators as per given numbers 830/201, 355/930, 105/631 is

GCF of Numerators i.e. for 830,355,105 is 5

LCM of denominators i.e. for 201,930,631 is 39317610.

Thus, GCF of Fractions is 5/39317610.Finally, GCF of Fractions for 830/201, 355/930, 105/631 is 5/39317610.