Greatest Common Factor of 6718/568, 3992/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6718/568, 3992/338

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 6718/568,3992/338

Given fractions are 6718/568,3992/338

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 6718,3992

Greatest Common Factor of Numerators i.e. GCF of 6718,3992 is 2 .

LCM of Denominators means LCM of 568,338 as per the given fractions.

LCM of 568,338 is 95992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6718,3992

GCF of Fractions 6718/568,3992/338 is 2/95992

2 6718, 3992
3359, 1996

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

Greatest Common Factor of 6718,3992 By Matching Biggest Common Factor Method

Greatest Common Factor of 6718,3992 By Matching Biggest Common Factor Method

Factors of 6718

List of positive integer factors of 6718 that divides 6718 without a remainder.

1,2,3359,6718

Factors of 3992

List of positive integer factors of 3992 that divides 3992 without a remainder.

1,2,4,8,499,998,1996,3992

Greatest Common Factor

We found the factors 6718,3992 . The biggest common factor number is the GCF number.
So the greatest common factor 6718,3992 is 2.

Lets's calculate LCM of 568,338

2 568, 338
284, 169

∴ So the LCM of the given numbers is 2 x 284 x 169 = 95992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/95992

Therefore, the GCF of Fractions 6718/568,3992/338 is 2/95992

Least Common Multiple of 568,338 with GCF Formula

Least Common Multiple of 568,338 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 568,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,338) = 2

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

GCF(568,338) x common factors =2 x 1 = 2

LCM(568,338) = ( 568 × 338 ) / 2

LCM(568,338) = 191984 / 2

LCM(568,338) = 95992


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 6718/568, 3992/338

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 6718/568, 3992/338?

Answer: GCF of Numerators as per given numbers 6718/568, 3992/338 is

GCF of Numerators i.e. for 6718,3992 is 2

LCM of denominators i.e. for 568,338 is 95992.

Thus, GCF of Fractions is 2/95992.Finally, GCF of Fractions for 6718/568, 3992/338 is 2/95992.