Greatest Common Factor of 9849/622, 8031/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9849/622, 8031/286

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 9849/622,8031/286

Given fractions are 9849/622,8031/286

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 9849,8031

Greatest Common Factor of Numerators i.e. GCF of 9849,8031 is 3 .

LCM of Denominators means LCM of 622,286 as per the given fractions.

LCM of 622,286 is 88946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9849,8031

GCF of Fractions 9849/622,8031/286 is 3/88946

3 9849, 8031
3283, 2677

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

Greatest Common Factor of 9849,8031 By Matching Biggest Common Factor Method

Greatest Common Factor of 9849,8031 By Matching Biggest Common Factor Method

Factors of 9849

List of positive integer factors of 9849 that divides 9849 without a remainder.

1,3,7,21,49,67,147,201,469,1407,3283,9849

Factors of 8031

List of positive integer factors of 8031 that divides 8031 without a remainder.

1,3,2677,8031

Greatest Common Factor

We found the factors 9849,8031 . The biggest common factor number is the GCF number.
So the greatest common factor 9849,8031 is 3.

Lets's calculate LCM of 622,286

2 622, 286
311, 143

∴ So the LCM of the given numbers is 2 x 311 x 143 = 88946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/88946

Therefore, the GCF of Fractions 9849/622,8031/286 is 3/88946

Least Common Multiple of 622,286 with GCF Formula

Least Common Multiple of 622,286 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 622,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,286) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(622,286) x common factors =2 x 1 = 2

LCM(622,286) = ( 622 × 286 ) / 2

LCM(622,286) = 177892 / 2

LCM(622,286) = 88946


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 9849/622, 8031/286

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 9849/622, 8031/286?

Answer: GCF of Numerators as per given numbers 9849/622, 8031/286 is

GCF of Numerators i.e. for 9849,8031 is 3

LCM of denominators i.e. for 622,286 is 88946.

Thus, GCF of Fractions is 3/88946.Finally, GCF of Fractions for 9849/622, 8031/286 is 3/88946.