Greatest Common Factor of 8165/188, 3316/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8165/188, 3316/231

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 8165/188,3316/231

Given fractions are 8165/188,3316/231

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 8165,3316

Greatest Common Factor of Numerators i.e. GCF of 8165,3316 is 1 .

LCM of Denominators means LCM of 188,231 as per the given fractions.

LCM of 188,231 is 43428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8165,3316

GCF of Fractions 8165/188,3316/231 is 1/43428

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

Greatest Common Factor of 8165,3316 By Matching Biggest Common Factor Method

Greatest Common Factor of 8165,3316 By Matching Biggest Common Factor Method

Factors of 8165

List of positive integer factors of 8165 that divides 8165 without a remainder.

1,5,23,71,115,355,1633,8165

Factors of 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1,2,4,829,1658,3316

Greatest Common Factor

We found the factors 8165,3316 . The biggest common factor number is the GCF number.
So the greatest common factor 8165,3316 is 1.

Lets's calculate LCM of 188,231

Given numbers has no common factors except 1. So, there LCM is their product i.e 43428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43428

Therefore, the GCF of Fractions 8165/188,3316/231 is 1/43428

Least Common Multiple of 188,231 with GCF Formula

Least Common Multiple of 188,231 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 188,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,231) = 1

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

GCF(188,231) x common factors =1 x 1 = 1

LCM(188,231) = ( 188 × 231 ) / 1

LCM(188,231) = 43428 / 1

LCM(188,231) = 43428


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 8165/188, 3316/231

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 8165/188, 3316/231?

Answer: GCF of Numerators as per given numbers 8165/188, 3316/231 is

GCF of Numerators i.e. for 8165,3316 is 1

LCM of denominators i.e. for 188,231 is 43428.

Thus, GCF of Fractions is 1/43428.Finally, GCF of Fractions for 8165/188, 3316/231 is 1/43428.