Greatest Common Factor of 805/29, 303/62, 831/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/29, 303/62, 831/282

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 805/29,303/62,831/282

Given fractions are 805/29,303/62,831/282

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 805,303,831

Greatest Common Factor of Numerators i.e. GCF of 805,303,831 is 1 .

LCM of Denominators means LCM of 29,62,282 as per the given fractions.

LCM of 29,62,282 is 253518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,303,831

GCF of Fractions 805/29,303/62,831/282 is 1/253518

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

Greatest Common Factor of 805,303,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,303,831 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 805,303,831 . The biggest common factor number is the GCF number.
So the greatest common factor 805,303,831 is 1.

Lets's calculate LCM of 29,62,282

2 29, 62, 282
29, 31, 141

∴ So the LCM of the given numbers is 2 x 29 x 31 x 141 = 253518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253518

Therefore, the GCF of Fractions 805/29,303/62,831/282 is 1/253518

Least Common Multiple of 29,62,282 with GCF Formula

Least Common Multiple of 29,62,282 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 29,62,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,62,282) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(29,62,282) x common factors =1 x 2 = 2

LCM(29,62,282) = ( 29 × 62 × 282 ) / 2

LCM(29,62,282) = 507036 / 2

LCM(29,62,282) = 253518


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 805/29, 303/62, 831/282

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 805/29, 303/62, 831/282?

Answer: GCF of Numerators as per given numbers 805/29, 303/62, 831/282 is

GCF of Numerators i.e. for 805,303,831 is 1

LCM of denominators i.e. for 29,62,282 is 253518.

Thus, GCF of Fractions is 1/253518.Finally, GCF of Fractions for 805/29, 303/62, 831/282 is 1/253518.