Greatest Common Factor of 8163/403, 6297/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8163/403, 6297/371

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 8163/403,6297/371

Given fractions are 8163/403,6297/371

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 8163,6297

Greatest Common Factor of Numerators i.e. GCF of 8163,6297 is 3 .

LCM of Denominators means LCM of 403,371 as per the given fractions.

LCM of 403,371 is 149513 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8163,6297

GCF of Fractions 8163/403,6297/371 is 3/149513

3 8163, 6297
2721, 2099

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8163,6297 By Matching Biggest Common Factor Method

Greatest Common Factor of 8163,6297 By Matching Biggest Common Factor Method

Factors of 8163

List of positive integer factors of 8163 that divides 8163 without a remainder.

1,3,9,907,2721,8163

Factors of 6297

List of positive integer factors of 6297 that divides 6297 without a remainder.

1,3,2099,6297

Greatest Common Factor

We found the factors 8163,6297 . The biggest common factor number is the GCF number.
So the greatest common factor 8163,6297 is 3.

Lets's calculate LCM of 403,371

Given numbers has no common factors except 1. So, there LCM is their product i.e 149513

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149513

Therefore, the GCF of Fractions 8163/403,6297/371 is 3/149513

Least Common Multiple of 403,371 with GCF Formula

Least Common Multiple of 403,371 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 403,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,371) = 1

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

GCF(403,371) x common factors =1 x 1 = 1

LCM(403,371) = ( 403 × 371 ) / 1

LCM(403,371) = 149513 / 1

LCM(403,371) = 149513


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 8163/403, 6297/371

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 8163/403, 6297/371?

Answer: GCF of Numerators as per given numbers 8163/403, 6297/371 is

GCF of Numerators i.e. for 8163,6297 is 3

LCM of denominators i.e. for 403,371 is 149513.

Thus, GCF of Fractions is 3/149513.Finally, GCF of Fractions for 8163/403, 6297/371 is 3/149513.