Greatest Common Factor of 1683/893, 4683/6392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1683/893, 4683/6392

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 1683/893,4683/6392

Given fractions are 1683/893,4683/6392

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 1683,4683

Greatest Common Factor of Numerators i.e. GCF of 1683,4683 is 3 .

LCM of Denominators means LCM of 893,6392 as per the given fractions.

LCM of 893,6392 is 121448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1683,4683

GCF of Fractions 1683/893,4683/6392 is 3/121448

3 1683, 4683
561, 1561

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1683,4683 By Matching Biggest Common Factor Method

Greatest Common Factor of 1683,4683 By Matching Biggest Common Factor Method

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1,3,9,11,17,33,51,99,153,187,561,1683

Factors of 4683

List of positive integer factors of 4683 that divides 4683 without a remainder.

1,3,7,21,223,669,1561,4683

Greatest Common Factor

We found the factors 1683,4683 . The biggest common factor number is the GCF number.
So the greatest common factor 1683,4683 is 3.


Lets's calculate LCM of 893,6392

47 893, 6392
19, 136

∴ So the LCM of the given numbers is 47 x 19 x 136 = 121448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/121448

Therefore, the GCF of Fractions 1683/893,4683/6392 is 3/121448

Least Common Multiple of 893,6392 with GCF Formula

Least Common Multiple of 893,6392 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 893,6392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,6392) = 47

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

GCF(893,6392) x common factors =47 x 1 = 47

LCM(893,6392) = ( 893 × 6392 ) / 47

LCM(893,6392) = 5708056 / 47

LCM(893,6392) = 121448


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 1683/893, 4683/6392

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 1683/893, 4683/6392?

Answer: GCF of Numerators as per given numbers 1683/893, 4683/6392 is

GCF of Numerators i.e. for 1683,4683 is 3

LCM of denominators i.e. for 893,6392 is 121448.

Thus, GCF of Fractions is 3/121448.Finally, GCF of Fractions for 1683/893, 4683/6392 is 3/121448.