Greatest Common Factor of 8441/680, 6222/3857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8441/680, 6222/3857

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 8441/680,6222/3857

Given fractions are 8441/680,6222/3857

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 8441,6222

Greatest Common Factor of Numerators i.e. GCF of 8441,6222 is 1 .

LCM of Denominators means LCM of 680,3857 as per the given fractions.

LCM of 680,3857 is 2622760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8441,6222

GCF of Fractions 8441/680,6222/3857 is 1/2622760

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

Greatest Common Factor of 8441,6222 By Matching Biggest Common Factor Method

Greatest Common Factor of 8441,6222 By Matching Biggest Common Factor Method

Factors of 8441

List of positive integer factors of 8441 that divides 8441 without a remainder.

1,23,367,8441

Factors of 6222

List of positive integer factors of 6222 that divides 6222 without a remainder.

1,2,3,6,17,34,51,61,102,122,183,366,1037,2074,3111,6222

Greatest Common Factor

We found the factors 8441,6222 . The biggest common factor number is the GCF number.
So the greatest common factor 8441,6222 is 1.

Lets's calculate LCM of 680,3857

Given numbers has no common factors except 1. So, there LCM is their product i.e 2622760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2622760

Therefore, the GCF of Fractions 8441/680,6222/3857 is 1/2622760

Least Common Multiple of 680,3857 with GCF Formula

Least Common Multiple of 680,3857 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 680,3857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,3857) = 1

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

GCF(680,3857) x common factors =1 x 1 = 1

LCM(680,3857) = ( 680 × 3857 ) / 1

LCM(680,3857) = 2622760 / 1

LCM(680,3857) = 2622760


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 8441/680, 6222/3857

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 8441/680, 6222/3857?

Answer: GCF of Numerators as per given numbers 8441/680, 6222/3857 is

GCF of Numerators i.e. for 8441,6222 is 1

LCM of denominators i.e. for 680,3857 is 2622760.

Thus, GCF of Fractions is 1/2622760.Finally, GCF of Fractions for 8441/680, 6222/3857 is 1/2622760.