Greatest Common Factor of 6882/33, 6343/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6882/33, 6343/934

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 6882/33,6343/934

Given fractions are 6882/33,6343/934

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 6882,6343

Greatest Common Factor of Numerators i.e. GCF of 6882,6343 is 1 .

LCM of Denominators means LCM of 33,934 as per the given fractions.

LCM of 33,934 is 30822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6882,6343

GCF of Fractions 6882/33,6343/934 is 1/30822

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

Greatest Common Factor of 6882,6343 By Matching Biggest Common Factor Method

Greatest Common Factor of 6882,6343 By Matching Biggest Common Factor Method

Factors of 6882

List of positive integer factors of 6882 that divides 6882 without a remainder.

1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882

Factors of 6343

List of positive integer factors of 6343 that divides 6343 without a remainder.

1,6343

Greatest Common Factor

We found the factors 6882,6343 . The biggest common factor number is the GCF number.
So the greatest common factor 6882,6343 is 1.

Lets's calculate LCM of 33,934

Given numbers has no common factors except 1. So, there LCM is their product i.e 30822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30822

Therefore, the GCF of Fractions 6882/33,6343/934 is 1/30822

Least Common Multiple of 33,934 with GCF Formula

Least Common Multiple of 33,934 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 33,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,934) = 1

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

GCF(33,934) x common factors =1 x 1 = 1

LCM(33,934) = ( 33 × 934 ) / 1

LCM(33,934) = 30822 / 1

LCM(33,934) = 30822


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 6882/33, 6343/934

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 6882/33, 6343/934?

Answer: GCF of Numerators as per given numbers 6882/33, 6343/934 is

GCF of Numerators i.e. for 6882,6343 is 1

LCM of denominators i.e. for 33,934 is 30822.

Thus, GCF of Fractions is 1/30822.Finally, GCF of Fractions for 6882/33, 6343/934 is 1/30822.