Greatest Common Factor of 390/13, 412/1292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/13, 412/1292

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 390/13,412/1292

Given fractions are 390/13,412/1292

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 390,412

Greatest Common Factor of Numerators i.e. GCF of 390,412 is 2 .

LCM of Denominators means LCM of 13,1292 as per the given fractions.

LCM of 13,1292 is 16796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,412

GCF of Fractions 390/13,412/1292 is 2/16796

2 390, 412
195, 206

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 390,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,412 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 390,412 . The biggest common factor number is the GCF number.
So the greatest common factor 390,412 is 2.

Lets's calculate LCM of 13,1292

Given numbers has no common factors except 1. So, there LCM is their product i.e 16796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16796

Therefore, the GCF of Fractions 390/13,412/1292 is 2/16796

Least Common Multiple of 13,1292 with GCF Formula

Least Common Multiple of 13,1292 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 13,1292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,1292) = 1

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

GCF(13,1292) x common factors =1 x 1 = 1

LCM(13,1292) = ( 13 × 1292 ) / 1

LCM(13,1292) = 16796 / 1

LCM(13,1292) = 16796


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 390/13, 412/1292

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 390/13, 412/1292?

Answer: GCF of Numerators as per given numbers 390/13, 412/1292 is

GCF of Numerators i.e. for 390,412 is 2

LCM of denominators i.e. for 13,1292 is 16796.

Thus, GCF of Fractions is 2/16796.Finally, GCF of Fractions for 390/13, 412/1292 is 2/16796.