Greatest Common Factor of 8206/317, 7108/8141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8206/317, 7108/8141

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 8206/317,7108/8141

Given fractions are 8206/317,7108/8141

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 8206,7108

Greatest Common Factor of Numerators i.e. GCF of 8206,7108 is 2 .

LCM of Denominators means LCM of 317,8141 as per the given fractions.

LCM of 317,8141 is 2580697 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8206,7108

GCF of Fractions 8206/317,7108/8141 is 2/2580697

2 8206, 7108
4103, 3554

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

Greatest Common Factor of 8206,7108 By Matching Biggest Common Factor Method

Greatest Common Factor of 8206,7108 By Matching Biggest Common Factor Method

Factors of 8206

List of positive integer factors of 8206 that divides 8206 without a remainder.

1,2,11,22,373,746,4103,8206

Factors of 7108

List of positive integer factors of 7108 that divides 7108 without a remainder.

1,2,4,1777,3554,7108

Greatest Common Factor

We found the factors 8206,7108 . The biggest common factor number is the GCF number.
So the greatest common factor 8206,7108 is 2.

Lets's calculate LCM of 317,8141

Given numbers has no common factors except 1. So, there LCM is their product i.e 2580697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2580697

Therefore, the GCF of Fractions 8206/317,7108/8141 is 2/2580697

Least Common Multiple of 317,8141 with GCF Formula

Least Common Multiple of 317,8141 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 317,8141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,8141) = 1

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

GCF(317,8141) x common factors =1 x 1 = 1

LCM(317,8141) = ( 317 × 8141 ) / 1

LCM(317,8141) = 2580697 / 1

LCM(317,8141) = 2580697


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 8206/317, 7108/8141

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 8206/317, 7108/8141?

Answer: GCF of Numerators as per given numbers 8206/317, 7108/8141 is

GCF of Numerators i.e. for 8206,7108 is 2

LCM of denominators i.e. for 317,8141 is 2580697.

Thus, GCF of Fractions is 2/2580697.Finally, GCF of Fractions for 8206/317, 7108/8141 is 2/2580697.