Greatest Common Factor of 82/178, 8405/2021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/178, 8405/2021

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 82/178,8405/2021

Given fractions are 82/178,8405/2021

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 82,8405

Greatest Common Factor of Numerators i.e. GCF of 82,8405 is 41 .

LCM of Denominators means LCM of 178,2021 as per the given fractions.

LCM of 178,2021 is 359738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,8405

GCF of Fractions 82/178,8405/2021 is 41/359738

41 82, 8405
2, 205

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 82,8405 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,8405 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 8405

List of positive integer factors of 8405 that divides 8405 without a remainder.

1,5,41,205,1681,8405

Greatest Common Factor

We found the factors 82,8405 . The biggest common factor number is the GCF number.
So the greatest common factor 82,8405 is 41.

Lets's calculate LCM of 178,2021

Given numbers has no common factors except 1. So, there LCM is their product i.e 359738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/359738

Therefore, the GCF of Fractions 82/178,8405/2021 is 41/359738

Least Common Multiple of 178,2021 with GCF Formula

Least Common Multiple of 178,2021 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 178,2021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,2021) = 1

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

GCF(178,2021) x common factors =1 x 1 = 1

LCM(178,2021) = ( 178 × 2021 ) / 1

LCM(178,2021) = 359738 / 1

LCM(178,2021) = 359738


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 82/178, 8405/2021

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 82/178, 8405/2021?

Answer: GCF of Numerators as per given numbers 82/178, 8405/2021 is

GCF of Numerators i.e. for 82,8405 is 41

LCM of denominators i.e. for 178,2021 is 359738.

Thus, GCF of Fractions is 41/359738.Finally, GCF of Fractions for 82/178, 8405/2021 is 41/359738.