Greatest Common Factor of 3396/39, 7965/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3396/39, 7965/214

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 3396/39,7965/214

Given fractions are 3396/39,7965/214

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 3396,7965

Greatest Common Factor of Numerators i.e. GCF of 3396,7965 is 3 .

LCM of Denominators means LCM of 39,214 as per the given fractions.

LCM of 39,214 is 8346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3396,7965

GCF of Fractions 3396/39,7965/214 is 3/8346

3 3396, 7965
1132, 2655

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

Greatest Common Factor of 3396,7965 By Matching Biggest Common Factor Method

Greatest Common Factor of 3396,7965 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 7965

List of positive integer factors of 7965 that divides 7965 without a remainder.

1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965

Greatest Common Factor

We found the factors 3396,7965 . The biggest common factor number is the GCF number.
So the greatest common factor 3396,7965 is 3.

Lets's calculate LCM of 39,214

Given numbers has no common factors except 1. So, there LCM is their product i.e 8346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8346

Therefore, the GCF of Fractions 3396/39,7965/214 is 3/8346

Least Common Multiple of 39,214 with GCF Formula

Least Common Multiple of 39,214 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 39,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,214) = 1

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

GCF(39,214) x common factors =1 x 1 = 1

LCM(39,214) = ( 39 × 214 ) / 1

LCM(39,214) = 8346 / 1

LCM(39,214) = 8346


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 3396/39, 7965/214

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 3396/39, 7965/214?

Answer: GCF of Numerators as per given numbers 3396/39, 7965/214 is

GCF of Numerators i.e. for 3396,7965 is 3

LCM of denominators i.e. for 39,214 is 8346.

Thus, GCF of Fractions is 3/8346.Finally, GCF of Fractions for 3396/39, 7965/214 is 3/8346.