Greatest Common Factor of 1861/396, 2343/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1861/396, 2343/486

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 1861/396,2343/486

Given fractions are 1861/396,2343/486

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 1861,2343

Greatest Common Factor of Numerators i.e. GCF of 1861,2343 is 1 .

LCM of Denominators means LCM of 396,486 as per the given fractions.

LCM of 396,486 is 10692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1861,2343

GCF of Fractions 1861/396,2343/486 is 1/10692

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

Greatest Common Factor of 1861,2343 By Matching Biggest Common Factor Method

Greatest Common Factor of 1861,2343 By Matching Biggest Common Factor Method

Factors of 1861

List of positive integer factors of 1861 that divides 1861 without a remainder.

1,1861

Factors of 2343

List of positive integer factors of 2343 that divides 2343 without a remainder.

1,3,11,33,71,213,781,2343

Greatest Common Factor

We found the factors 1861,2343 . The biggest common factor number is the GCF number.
So the greatest common factor 1861,2343 is 1.

Lets's calculate LCM of 396,486

2 396, 486
3 198, 243
3 66, 81
22, 27

∴ So the LCM of the given numbers is 2 x 3 x 3 x 22 x 27 = 10692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10692

Therefore, the GCF of Fractions 1861/396,2343/486 is 1/10692

Least Common Multiple of 396,486 with GCF Formula

Least Common Multiple of 396,486 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 396,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,486) = 18

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

GCF(396,486) x common factors =18 x 1 = 18

LCM(396,486) = ( 396 × 486 ) / 18

LCM(396,486) = 192456 / 18

LCM(396,486) = 10692


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 1861/396, 2343/486

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 1861/396, 2343/486?

Answer: GCF of Numerators as per given numbers 1861/396, 2343/486 is

GCF of Numerators i.e. for 1861,2343 is 1

LCM of denominators i.e. for 396,486 is 10692.

Thus, GCF of Fractions is 1/10692.Finally, GCF of Fractions for 1861/396, 2343/486 is 1/10692.