Greatest Common Factor of 8177/221, 6341/3938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8177/221, 6341/3938

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 8177/221,6341/3938

Given fractions are 8177/221,6341/3938

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 8177,6341

Greatest Common Factor of Numerators i.e. GCF of 8177,6341 is 17 .

LCM of Denominators means LCM of 221,3938 as per the given fractions.

LCM of 221,3938 is 870298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8177,6341

GCF of Fractions 8177/221,6341/3938 is 17/870298

17 8177, 6341
481, 373

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 8177,6341 By Matching Biggest Common Factor Method

Greatest Common Factor of 8177,6341 By Matching Biggest Common Factor Method

Factors of 8177

List of positive integer factors of 8177 that divides 8177 without a remainder.

1,13,17,37,221,481,629,8177

Factors of 6341

List of positive integer factors of 6341 that divides 6341 without a remainder.

1,17,373,6341

Greatest Common Factor

We found the factors 8177,6341 . The biggest common factor number is the GCF number.
So the greatest common factor 8177,6341 is 17.

Lets's calculate LCM of 221,3938

Given numbers has no common factors except 1. So, there LCM is their product i.e 870298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/870298

Therefore, the GCF of Fractions 8177/221,6341/3938 is 17/870298

Least Common Multiple of 221,3938 with GCF Formula

Least Common Multiple of 221,3938 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 221,3938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,3938) = 1

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

GCF(221,3938) x common factors =1 x 1 = 1

LCM(221,3938) = ( 221 × 3938 ) / 1

LCM(221,3938) = 870298 / 1

LCM(221,3938) = 870298


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 8177/221, 6341/3938

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 8177/221, 6341/3938?

Answer: GCF of Numerators as per given numbers 8177/221, 6341/3938 is

GCF of Numerators i.e. for 8177,6341 is 17

LCM of denominators i.e. for 221,3938 is 870298.

Thus, GCF of Fractions is 17/870298.Finally, GCF of Fractions for 8177/221, 6341/3938 is 17/870298.