Greatest Common Factor of 8306/61, 6812/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8306/61, 6812/361

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 8306/61,6812/361

Given fractions are 8306/61,6812/361

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 8306,6812

Greatest Common Factor of Numerators i.e. GCF of 8306,6812 is 2 .

LCM of Denominators means LCM of 61,361 as per the given fractions.

LCM of 61,361 is 22021 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8306,6812

GCF of Fractions 8306/61,6812/361 is 2/22021

2 8306, 6812
4153, 3406

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

Greatest Common Factor of 8306,6812 By Matching Biggest Common Factor Method

Greatest Common Factor of 8306,6812 By Matching Biggest Common Factor Method

Factors of 8306

List of positive integer factors of 8306 that divides 8306 without a remainder.

1,2,4153,8306

Factors of 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1,2,4,13,26,52,131,262,524,1703,3406,6812

Greatest Common Factor

We found the factors 8306,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 8306,6812 is 2.

Lets's calculate LCM of 61,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 22021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22021

Therefore, the GCF of Fractions 8306/61,6812/361 is 2/22021

Least Common Multiple of 61,361 with GCF Formula

Least Common Multiple of 61,361 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 61,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,361) = 1

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

GCF(61,361) x common factors =1 x 1 = 1

LCM(61,361) = ( 61 × 361 ) / 1

LCM(61,361) = 22021 / 1

LCM(61,361) = 22021


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 8306/61, 6812/361

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 8306/61, 6812/361?

Answer: GCF of Numerators as per given numbers 8306/61, 6812/361 is

GCF of Numerators i.e. for 8306,6812 is 2

LCM of denominators i.e. for 61,361 is 22021.

Thus, GCF of Fractions is 2/22021.Finally, GCF of Fractions for 8306/61, 6812/361 is 2/22021.