Greatest Common Factor of 2246/81, 1355/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2246/81, 1355/396

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 2246/81,1355/396

Given fractions are 2246/81,1355/396

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 2246,1355

Greatest Common Factor of Numerators i.e. GCF of 2246,1355 is 1 .

LCM of Denominators means LCM of 81,396 as per the given fractions.

LCM of 81,396 is 3564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2246,1355

GCF of Fractions 2246/81,1355/396 is 1/3564

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2246,1355 By Matching Biggest Common Factor Method

Greatest Common Factor of 2246,1355 By Matching Biggest Common Factor Method

Factors of 2246

List of positive integer factors of 2246 that divides 2246 without a remainder.

1,2,1123,2246

Factors of 1355

List of positive integer factors of 1355 that divides 1355 without a remainder.

1,5,271,1355

Greatest Common Factor

We found the factors 2246,1355 . The biggest common factor number is the GCF number.
So the greatest common factor 2246,1355 is 1.

Lets's calculate LCM of 81,396

3 81, 396
3 27, 132
9, 44

∴ So the LCM of the given numbers is 3 x 3 x 9 x 44 = 3564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3564

Therefore, the GCF of Fractions 2246/81,1355/396 is 1/3564

Least Common Multiple of 81,396 with GCF Formula

Least Common Multiple of 81,396 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 81,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,396) = 9

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

GCF(81,396) x common factors =9 x 1 = 9

LCM(81,396) = ( 81 × 396 ) / 9

LCM(81,396) = 32076 / 9

LCM(81,396) = 3564


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 2246/81, 1355/396

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 2246/81, 1355/396?

Answer: GCF of Numerators as per given numbers 2246/81, 1355/396 is

GCF of Numerators i.e. for 2246,1355 is 1

LCM of denominators i.e. for 81,396 is 3564.

Thus, GCF of Fractions is 1/3564.Finally, GCF of Fractions for 2246/81, 1355/396 is 1/3564.