Greatest Common Factor of 9640/83, 8620/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9640/83, 8620/241

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 9640/83,8620/241

Given fractions are 9640/83,8620/241

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 9640,8620

Greatest Common Factor of Numerators i.e. GCF of 9640,8620 is 20 .

LCM of Denominators means LCM of 83,241 as per the given fractions.

LCM of 83,241 is 20003 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9640,8620

GCF of Fractions 9640/83,8620/241 is 20/20003

2 9640, 8620
2 4820, 4310
5 2410, 2155
482, 431

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 9640,8620 By Matching Biggest Common Factor Method

Greatest Common Factor of 9640,8620 By Matching Biggest Common Factor Method

Factors of 9640

List of positive integer factors of 9640 that divides 9640 without a remainder.

1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640

Factors of 8620

List of positive integer factors of 8620 that divides 8620 without a remainder.

1,2,4,5,10,20,431,862,1724,2155,4310,8620

Greatest Common Factor

We found the factors 9640,8620 . The biggest common factor number is the GCF number.
So the greatest common factor 9640,8620 is 20.

Lets's calculate LCM of 83,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 20003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/20003

Therefore, the GCF of Fractions 9640/83,8620/241 is 20/20003

Least Common Multiple of 83,241 with GCF Formula

Least Common Multiple of 83,241 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 83,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,241) = 1

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

GCF(83,241) x common factors =1 x 1 = 1

LCM(83,241) = ( 83 × 241 ) / 1

LCM(83,241) = 20003 / 1

LCM(83,241) = 20003


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 9640/83, 8620/241

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 9640/83, 8620/241?

Answer: GCF of Numerators as per given numbers 9640/83, 8620/241 is

GCF of Numerators i.e. for 9640,8620 is 20

LCM of denominators i.e. for 83,241 is 20003.

Thus, GCF of Fractions is 20/20003.Finally, GCF of Fractions for 9640/83, 8620/241 is 20/20003.