Greatest Common Factor of 286/13, 801/73, 412/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/13, 801/73, 412/559

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 286/13,801/73,412/559

Given fractions are 286/13,801/73,412/559

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 286,801,412

Greatest Common Factor of Numerators i.e. GCF of 286,801,412 is 1 .

LCM of Denominators means LCM of 13,73,559 as per the given fractions.

LCM of 13,73,559 is 40807 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,801,412

GCF of Fractions 286/13,801/73,412/559 is 1/40807

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

Greatest Common Factor of 286,801,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,801,412 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

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 286,801,412 . The biggest common factor number is the GCF number.
So the greatest common factor 286,801,412 is 1.

Lets's calculate LCM of 13,73,559

13 13, 73, 559
1, 73, 43

∴ So the LCM of the given numbers is 13 x 1 x 73 x 43 = 40807

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40807

Therefore, the GCF of Fractions 286/13,801/73,412/559 is 1/40807

Least Common Multiple of 13,73,559 with GCF Formula

Least Common Multiple of 13,73,559 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 13,73,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,73,559) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,73,559) x common factors =1 x 13 = 13

LCM(13,73,559) = ( 13 × 73 × 559 ) / 13

LCM(13,73,559) = 530491 / 13

LCM(13,73,559) = 40807


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 286/13, 801/73, 412/559

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 286/13, 801/73, 412/559?

Answer: GCF of Numerators as per given numbers 286/13, 801/73, 412/559 is

GCF of Numerators i.e. for 286,801,412 is 1

LCM of denominators i.e. for 13,73,559 is 40807.

Thus, GCF of Fractions is 1/40807.Finally, GCF of Fractions for 286/13, 801/73, 412/559 is 1/40807.