Greatest Common Factor of 8230/789, 8582/9229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8230/789, 8582/9229

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 8230/789,8582/9229

Given fractions are 8230/789,8582/9229

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 8230,8582

Greatest Common Factor of Numerators i.e. GCF of 8230,8582 is 2 .

LCM of Denominators means LCM of 789,9229 as per the given fractions.

LCM of 789,9229 is 7281681 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8230,8582

GCF of Fractions 8230/789,8582/9229 is 2/7281681

2 8230, 8582
4115, 4291

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8230,8582 By Matching Biggest Common Factor Method

Greatest Common Factor of 8230,8582 By Matching Biggest Common Factor Method

Factors of 8230

List of positive integer factors of 8230 that divides 8230 without a remainder.

1,2,5,10,823,1646,4115,8230

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1,2,7,14,613,1226,4291,8582

Greatest Common Factor

We found the factors 8230,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 8230,8582 is 2.

Lets's calculate LCM of 789,9229

Given numbers has no common factors except 1. So, there LCM is their product i.e 7281681

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7281681

Therefore, the GCF of Fractions 8230/789,8582/9229 is 2/7281681

Least Common Multiple of 789,9229 with GCF Formula

Least Common Multiple of 789,9229 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 789,9229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,9229) = 1

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

GCF(789,9229) x common factors =1 x 1 = 1

LCM(789,9229) = ( 789 × 9229 ) / 1

LCM(789,9229) = 7281681 / 1

LCM(789,9229) = 7281681


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 8230/789, 8582/9229

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 8230/789, 8582/9229?

Answer: GCF of Numerators as per given numbers 8230/789, 8582/9229 is

GCF of Numerators i.e. for 8230,8582 is 2

LCM of denominators i.e. for 789,9229 is 7281681.

Thus, GCF of Fractions is 2/7281681.Finally, GCF of Fractions for 8230/789, 8582/9229 is 2/7281681.