Greatest Common Factor of 285/694, 6327/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 285/694, 6327/371

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 285/694,6327/371

Given fractions are 285/694,6327/371

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 285,6327

Greatest Common Factor of Numerators i.e. GCF of 285,6327 is 57 .

LCM of Denominators means LCM of 694,371 as per the given fractions.

LCM of 694,371 is 257474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 285,6327

GCF of Fractions 285/694,6327/371 is 57/257474

3 285, 6327
19 95, 2109
5, 111

∴ So the GCF of the given numbers is 3 x 19 = 57

Greatest Common Factor of 285,6327 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,6327 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 6327

List of positive integer factors of 6327 that divides 6327 without a remainder.

1,3,9,19,37,57,111,171,333,703,2109,6327

Greatest Common Factor

We found the factors 285,6327 . The biggest common factor number is the GCF number.
So the greatest common factor 285,6327 is 57.

Lets's calculate LCM of 694,371

Given numbers has no common factors except 1. So, there LCM is their product i.e 257474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/257474

Therefore, the GCF of Fractions 285/694,6327/371 is 57/257474

Least Common Multiple of 694,371 with GCF Formula

Least Common Multiple of 694,371 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 694,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,371) = 1

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

GCF(694,371) x common factors =1 x 1 = 1

LCM(694,371) = ( 694 × 371 ) / 1

LCM(694,371) = 257474 / 1

LCM(694,371) = 257474


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 285/694, 6327/371

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 285/694, 6327/371?

Answer: GCF of Numerators as per given numbers 285/694, 6327/371 is

GCF of Numerators i.e. for 285,6327 is 57

LCM of denominators i.e. for 694,371 is 257474.

Thus, GCF of Fractions is 57/257474.Finally, GCF of Fractions for 285/694, 6327/371 is 57/257474.