Greatest Common Factor of 1342/396, 8390/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1342/396, 8390/366

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 1342/396,8390/366

Given fractions are 1342/396,8390/366

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 1342,8390

Greatest Common Factor of Numerators i.e. GCF of 1342,8390 is 2 .

LCM of Denominators means LCM of 396,366 as per the given fractions.

LCM of 396,366 is 24156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1342,8390

GCF of Fractions 1342/396,8390/366 is 2/24156

2 1342, 8390
671, 4195

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

Greatest Common Factor of 1342,8390 By Matching Biggest Common Factor Method

Greatest Common Factor of 1342,8390 By Matching Biggest Common Factor Method

Factors of 1342

List of positive integer factors of 1342 that divides 1342 without a remainder.

1,2,11,22,61,122,671,1342

Factors of 8390

List of positive integer factors of 8390 that divides 8390 without a remainder.

1,2,5,10,839,1678,4195,8390

Greatest Common Factor

We found the factors 1342,8390 . The biggest common factor number is the GCF number.
So the greatest common factor 1342,8390 is 2.

Lets's calculate LCM of 396,366

2 396, 366
3 198, 183
66, 61

∴ So the LCM of the given numbers is 2 x 3 x 66 x 61 = 24156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24156

Therefore, the GCF of Fractions 1342/396,8390/366 is 2/24156

Least Common Multiple of 396,366 with GCF Formula

Least Common Multiple of 396,366 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 396,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,366) = 6

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

GCF(396,366) x common factors =6 x 1 = 6

LCM(396,366) = ( 396 × 366 ) / 6

LCM(396,366) = 144936 / 6

LCM(396,366) = 24156


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 1342/396, 8390/366

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 1342/396, 8390/366?

Answer: GCF of Numerators as per given numbers 1342/396, 8390/366 is

GCF of Numerators i.e. for 1342,8390 is 2

LCM of denominators i.e. for 396,366 is 24156.

Thus, GCF of Fractions is 2/24156.Finally, GCF of Fractions for 1342/396, 8390/366 is 2/24156.