Greatest Common Factor of 5384/594, 6854/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5384/594, 6854/351

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 5384/594,6854/351

Given fractions are 5384/594,6854/351

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 5384,6854

Greatest Common Factor of Numerators i.e. GCF of 5384,6854 is 2 .

LCM of Denominators means LCM of 594,351 as per the given fractions.

LCM of 594,351 is 7722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5384,6854

GCF of Fractions 5384/594,6854/351 is 2/7722

2 5384, 6854
2692, 3427

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5384,6854 By Matching Biggest Common Factor Method

Greatest Common Factor of 5384,6854 By Matching Biggest Common Factor Method

Factors of 5384

List of positive integer factors of 5384 that divides 5384 without a remainder.

1,2,4,8,673,1346,2692,5384

Factors of 6854

List of positive integer factors of 6854 that divides 6854 without a remainder.

1,2,23,46,149,298,3427,6854

Greatest Common Factor

We found the factors 5384,6854 . The biggest common factor number is the GCF number.
So the greatest common factor 5384,6854 is 2.

Lets's calculate LCM of 594,351

3 594, 351
3 198, 117
3 66, 39
22, 13

∴ So the LCM of the given numbers is 3 x 3 x 3 x 22 x 13 = 7722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7722

Therefore, the GCF of Fractions 5384/594,6854/351 is 2/7722

Least Common Multiple of 594,351 with GCF Formula

Least Common Multiple of 594,351 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 594,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,351) = 27

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

GCF(594,351) x common factors =27 x 1 = 27

LCM(594,351) = ( 594 × 351 ) / 27

LCM(594,351) = 208494 / 27

LCM(594,351) = 7722


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 5384/594, 6854/351

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 5384/594, 6854/351?

Answer: GCF of Numerators as per given numbers 5384/594, 6854/351 is

GCF of Numerators i.e. for 5384,6854 is 2

LCM of denominators i.e. for 594,351 is 7722.

Thus, GCF of Fractions is 2/7722.Finally, GCF of Fractions for 5384/594, 6854/351 is 2/7722.