Greatest Common Factor of 6843/652, 9847/8214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6843/652, 9847/8214

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 6843/652,9847/8214

Given fractions are 6843/652,9847/8214

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 6843,9847

Greatest Common Factor of Numerators i.e. GCF of 6843,9847 is 1 .

LCM of Denominators means LCM of 652,8214 as per the given fractions.

LCM of 652,8214 is 2677764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6843,9847

GCF of Fractions 6843/652,9847/8214 is 1/2677764

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

Greatest Common Factor of 6843,9847 By Matching Biggest Common Factor Method

Greatest Common Factor of 6843,9847 By Matching Biggest Common Factor Method

Factors of 6843

List of positive integer factors of 6843 that divides 6843 without a remainder.

1,3,2281,6843

Factors of 9847

List of positive integer factors of 9847 that divides 9847 without a remainder.

1,43,229,9847

Greatest Common Factor

We found the factors 6843,9847 . The biggest common factor number is the GCF number.
So the greatest common factor 6843,9847 is 1.

Lets's calculate LCM of 652,8214

2 652, 8214
326, 4107

∴ So the LCM of the given numbers is 2 x 326 x 4107 = 2677764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2677764

Therefore, the GCF of Fractions 6843/652,9847/8214 is 1/2677764

Least Common Multiple of 652,8214 with GCF Formula

Least Common Multiple of 652,8214 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 652,8214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,8214) = 2

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

GCF(652,8214) x common factors =2 x 1 = 2

LCM(652,8214) = ( 652 × 8214 ) / 2

LCM(652,8214) = 5355528 / 2

LCM(652,8214) = 2677764


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 6843/652, 9847/8214

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 6843/652, 9847/8214?

Answer: GCF of Numerators as per given numbers 6843/652, 9847/8214 is

GCF of Numerators i.e. for 6843,9847 is 1

LCM of denominators i.e. for 652,8214 is 2677764.

Thus, GCF of Fractions is 1/2677764.Finally, GCF of Fractions for 6843/652, 9847/8214 is 1/2677764.