Greatest Common Factor of 8613/362, 9643/6060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8613/362, 9643/6060

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 8613/362,9643/6060

Given fractions are 8613/362,9643/6060

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 8613,9643

Greatest Common Factor of Numerators i.e. GCF of 8613,9643 is 1 .

LCM of Denominators means LCM of 362,6060 as per the given fractions.

LCM of 362,6060 is 1096860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8613,9643

GCF of Fractions 8613/362,9643/6060 is 1/1096860

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

Greatest Common Factor of 8613,9643 By Matching Biggest Common Factor Method

Greatest Common Factor of 8613,9643 By Matching Biggest Common Factor Method

Factors of 8613

List of positive integer factors of 8613 that divides 8613 without a remainder.

1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613

Factors of 9643

List of positive integer factors of 9643 that divides 9643 without a remainder.

1,9643

Greatest Common Factor

We found the factors 8613,9643 . The biggest common factor number is the GCF number.
So the greatest common factor 8613,9643 is 1.

Lets's calculate LCM of 362,6060

2 362, 6060
181, 3030

∴ So the LCM of the given numbers is 2 x 181 x 3030 = 1096860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1096860

Therefore, the GCF of Fractions 8613/362,9643/6060 is 1/1096860

Least Common Multiple of 362,6060 with GCF Formula

Least Common Multiple of 362,6060 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 362,6060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,6060) = 2

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

GCF(362,6060) x common factors =2 x 1 = 2

LCM(362,6060) = ( 362 × 6060 ) / 2

LCM(362,6060) = 2193720 / 2

LCM(362,6060) = 1096860


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 8613/362, 9643/6060

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 8613/362, 9643/6060?

Answer: GCF of Numerators as per given numbers 8613/362, 9643/6060 is

GCF of Numerators i.e. for 8613,9643 is 1

LCM of denominators i.e. for 362,6060 is 1096860.

Thus, GCF of Fractions is 1/1096860.Finally, GCF of Fractions for 8613/362, 9643/6060 is 1/1096860.