Greatest Common Factor of 9036/43, 8082/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9036/43, 8082/235

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 9036/43,8082/235

Given fractions are 9036/43,8082/235

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 9036,8082

Greatest Common Factor of Numerators i.e. GCF of 9036,8082 is 18 .

LCM of Denominators means LCM of 43,235 as per the given fractions.

LCM of 43,235 is 10105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9036,8082

GCF of Fractions 9036/43,8082/235 is 18/10105

2 9036, 8082
3 4518, 4041
3 1506, 1347
502, 449

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 9036,8082 By Matching Biggest Common Factor Method

Greatest Common Factor of 9036,8082 By Matching Biggest Common Factor Method

Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036

Factors of 8082

List of positive integer factors of 8082 that divides 8082 without a remainder.

1,2,3,6,9,18,449,898,1347,2694,4041,8082

Greatest Common Factor

We found the factors 9036,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 9036,8082 is 18.

Lets's calculate LCM of 43,235

Given numbers has no common factors except 1. So, there LCM is their product i.e 10105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/10105

Therefore, the GCF of Fractions 9036/43,8082/235 is 18/10105

Least Common Multiple of 43,235 with GCF Formula

Least Common Multiple of 43,235 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 43,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,235) = 1

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

GCF(43,235) x common factors =1 x 1 = 1

LCM(43,235) = ( 43 × 235 ) / 1

LCM(43,235) = 10105 / 1

LCM(43,235) = 10105


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 9036/43, 8082/235

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 9036/43, 8082/235?

Answer: GCF of Numerators as per given numbers 9036/43, 8082/235 is

GCF of Numerators i.e. for 9036,8082 is 18

LCM of denominators i.e. for 43,235 is 10105.

Thus, GCF of Fractions is 18/10105.Finally, GCF of Fractions for 9036/43, 8082/235 is 18/10105.