Greatest Common Factor of 3396/612, 3183/2872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3396/612, 3183/2872

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 3396/612,3183/2872

Given fractions are 3396/612,3183/2872

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 3396,3183

Greatest Common Factor of Numerators i.e. GCF of 3396,3183 is 3 .

LCM of Denominators means LCM of 612,2872 as per the given fractions.

LCM of 612,2872 is 439416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3396,3183

GCF of Fractions 3396/612,3183/2872 is 3/439416

3 3396, 3183
1132, 1061

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

Greatest Common Factor of 3396,3183 By Matching Biggest Common Factor Method

Greatest Common Factor of 3396,3183 By Matching Biggest Common Factor Method

Factors of 3396

List of positive integer factors of 3396 that divides 3396 without a remainder.

1,2,3,4,6,12,283,566,849,1132,1698,3396

Factors of 3183

List of positive integer factors of 3183 that divides 3183 without a remainder.

1,3,1061,3183

Greatest Common Factor

We found the factors 3396,3183 . The biggest common factor number is the GCF number.
So the greatest common factor 3396,3183 is 3.

Lets's calculate LCM of 612,2872

2 612, 2872
2 306, 1436
153, 718

∴ So the LCM of the given numbers is 2 x 2 x 153 x 718 = 439416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/439416

Therefore, the GCF of Fractions 3396/612,3183/2872 is 3/439416

Least Common Multiple of 612,2872 with GCF Formula

Least Common Multiple of 612,2872 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 612,2872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,2872) = 4

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

GCF(612,2872) x common factors =4 x 1 = 4

LCM(612,2872) = ( 612 × 2872 ) / 4

LCM(612,2872) = 1757664 / 4

LCM(612,2872) = 439416


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 3396/612, 3183/2872

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 3396/612, 3183/2872?

Answer: GCF of Numerators as per given numbers 3396/612, 3183/2872 is

GCF of Numerators i.e. for 3396,3183 is 3

LCM of denominators i.e. for 612,2872 is 439416.

Thus, GCF of Fractions is 3/439416.Finally, GCF of Fractions for 3396/612, 3183/2872 is 3/439416.