Greatest Common Factor of 6787/46, 4347/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6787/46, 4347/994

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 6787/46,4347/994

Given fractions are 6787/46,4347/994

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 6787,4347

Greatest Common Factor of Numerators i.e. GCF of 6787,4347 is 1 .

LCM of Denominators means LCM of 46,994 as per the given fractions.

LCM of 46,994 is 22862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6787,4347

GCF of Fractions 6787/46,4347/994 is 1/22862

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

Greatest Common Factor of 6787,4347 By Matching Biggest Common Factor Method

Greatest Common Factor of 6787,4347 By Matching Biggest Common Factor Method

Factors of 6787

List of positive integer factors of 6787 that divides 6787 without a remainder.

1,11,617,6787

Factors of 4347

List of positive integer factors of 4347 that divides 4347 without a remainder.

1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347

Greatest Common Factor

We found the factors 6787,4347 . The biggest common factor number is the GCF number.
So the greatest common factor 6787,4347 is 1.

Lets's calculate LCM of 46,994

2 46, 994
23, 497

∴ So the LCM of the given numbers is 2 x 23 x 497 = 22862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22862

Therefore, the GCF of Fractions 6787/46,4347/994 is 1/22862

Least Common Multiple of 46,994 with GCF Formula

Least Common Multiple of 46,994 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 46,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,994) = 2

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

GCF(46,994) x common factors =2 x 1 = 2

LCM(46,994) = ( 46 × 994 ) / 2

LCM(46,994) = 45724 / 2

LCM(46,994) = 22862


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 6787/46, 4347/994

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 6787/46, 4347/994?

Answer: GCF of Numerators as per given numbers 6787/46, 4347/994 is

GCF of Numerators i.e. for 6787,4347 is 1

LCM of denominators i.e. for 46,994 is 22862.

Thus, GCF of Fractions is 1/22862.Finally, GCF of Fractions for 6787/46, 4347/994 is 1/22862.