Greatest Common Factor of 8366/379, 2021/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8366/379, 2021/857

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 8366/379,2021/857

Given fractions are 8366/379,2021/857

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 8366,2021

Greatest Common Factor of Numerators i.e. GCF of 8366,2021 is 47 .

LCM of Denominators means LCM of 379,857 as per the given fractions.

LCM of 379,857 is 324803 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8366,2021

GCF of Fractions 8366/379,2021/857 is 47/324803

47 8366, 2021
178, 43

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 8366,2021 By Matching Biggest Common Factor Method

Greatest Common Factor of 8366,2021 By Matching Biggest Common Factor Method

Factors of 8366

List of positive integer factors of 8366 that divides 8366 without a remainder.

1,2,47,89,94,178,4183,8366

Factors of 2021

List of positive integer factors of 2021 that divides 2021 without a remainder.

1,43,47,2021

Greatest Common Factor

We found the factors 8366,2021 . The biggest common factor number is the GCF number.
So the greatest common factor 8366,2021 is 47.

Lets's calculate LCM of 379,857

Given numbers has no common factors except 1. So, there LCM is their product i.e 324803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/324803

Therefore, the GCF of Fractions 8366/379,2021/857 is 47/324803

Least Common Multiple of 379,857 with GCF Formula

Least Common Multiple of 379,857 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 379,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,857) = 1

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

GCF(379,857) x common factors =1 x 1 = 1

LCM(379,857) = ( 379 × 857 ) / 1

LCM(379,857) = 324803 / 1

LCM(379,857) = 324803


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 8366/379, 2021/857

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 8366/379, 2021/857?

Answer: GCF of Numerators as per given numbers 8366/379, 2021/857 is

GCF of Numerators i.e. for 8366,2021 is 47

LCM of denominators i.e. for 379,857 is 324803.

Thus, GCF of Fractions is 47/324803.Finally, GCF of Fractions for 8366/379, 2021/857 is 47/324803.