Greatest Common Factor of 8349/843, 3402/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8349/843, 3402/966

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 8349/843,3402/966

Given fractions are 8349/843,3402/966

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 8349,3402

Greatest Common Factor of Numerators i.e. GCF of 8349,3402 is 3 .

LCM of Denominators means LCM of 843,966 as per the given fractions.

LCM of 843,966 is 271446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8349,3402

GCF of Fractions 8349/843,3402/966 is 3/271446

3 8349, 3402
2783, 1134

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

Greatest Common Factor of 8349,3402 By Matching Biggest Common Factor Method

Greatest Common Factor of 8349,3402 By Matching Biggest Common Factor Method

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1,3,11,23,33,69,121,253,363,759,2783,8349

Factors of 3402

List of positive integer factors of 3402 that divides 3402 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,243,378,486,567,1134,1701,3402

Greatest Common Factor

We found the factors 8349,3402 . The biggest common factor number is the GCF number.
So the greatest common factor 8349,3402 is 3.

Lets's calculate LCM of 843,966

3 843, 966
281, 322

∴ So the LCM of the given numbers is 3 x 281 x 322 = 271446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/271446

Therefore, the GCF of Fractions 8349/843,3402/966 is 3/271446

Least Common Multiple of 843,966 with GCF Formula

Least Common Multiple of 843,966 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 843,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,966) = 3

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

GCF(843,966) x common factors =3 x 1 = 3

LCM(843,966) = ( 843 × 966 ) / 3

LCM(843,966) = 814338 / 3

LCM(843,966) = 271446


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 8349/843, 3402/966

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 8349/843, 3402/966?

Answer: GCF of Numerators as per given numbers 8349/843, 3402/966 is

GCF of Numerators i.e. for 8349,3402 is 3

LCM of denominators i.e. for 843,966 is 271446.

Thus, GCF of Fractions is 3/271446.Finally, GCF of Fractions for 8349/843, 3402/966 is 3/271446.