Greatest Common Factor of 8201/684, 6697/7234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8201/684, 6697/7234

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 8201/684,6697/7234

Given fractions are 8201/684,6697/7234

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 8201,6697

Greatest Common Factor of Numerators i.e. GCF of 8201,6697 is 1 .

LCM of Denominators means LCM of 684,7234 as per the given fractions.

LCM of 684,7234 is 2474028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8201,6697

GCF of Fractions 8201/684,6697/7234 is 1/2474028

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

Greatest Common Factor of 8201,6697 By Matching Biggest Common Factor Method

Greatest Common Factor of 8201,6697 By Matching Biggest Common Factor Method

Factors of 8201

List of positive integer factors of 8201 that divides 8201 without a remainder.

1,59,139,8201

Factors of 6697

List of positive integer factors of 6697 that divides 6697 without a remainder.

1,37,181,6697

Greatest Common Factor

We found the factors 8201,6697 . The biggest common factor number is the GCF number.
So the greatest common factor 8201,6697 is 1.

Lets's calculate LCM of 684,7234

2 684, 7234
342, 3617

∴ So the LCM of the given numbers is 2 x 342 x 3617 = 2474028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2474028

Therefore, the GCF of Fractions 8201/684,6697/7234 is 1/2474028

Least Common Multiple of 684,7234 with GCF Formula

Least Common Multiple of 684,7234 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 684,7234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,7234) = 2

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

GCF(684,7234) x common factors =2 x 1 = 2

LCM(684,7234) = ( 684 × 7234 ) / 2

LCM(684,7234) = 4948056 / 2

LCM(684,7234) = 2474028


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 8201/684, 6697/7234

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 8201/684, 6697/7234?

Answer: GCF of Numerators as per given numbers 8201/684, 6697/7234 is

GCF of Numerators i.e. for 8201,6697 is 1

LCM of denominators i.e. for 684,7234 is 2474028.

Thus, GCF of Fractions is 1/2474028.Finally, GCF of Fractions for 8201/684, 6697/7234 is 1/2474028.