How to Find GCF of 5817/226, 8539/3372?

GCF of 5817/226, 8539/3372

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5817/226, 8539/3372 i.e 1/381036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5817/226, 8539/3372.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5817/226,8539/3372?

Given fractions are 5817/226,8539/3372

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5817/226,8539/3372, numerators are 5817,8539

Denominators are 226,3372

The GCF of 5817,8539 is 1 .

LCM of 226,3372 is 381036.

The greatest common factor of 5817/226,8539/3372 = [GCF of 5817,8539]/[LCM of 226,3372]= 1/381036

Therefore, the GCF of 5817/226,8539/3372 is 1/381036.

Greatest Common Factor of 5817,8539

To find the highest common factor of 5817,8539, we have to find the factors of both numbers and list the highest common factor.

The factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817

The factors of 8539 are 1, 8539

The HCF of 5817,8539 is 1.

Lets's calculate GCF of 5817,8539

Greatest Common Factor (GCF) of 5817,8539 By Common Division

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

Greatest Common Factor of 5817,8539 By Matching Biggest Common Factor Method

Now, list down the factors of 5817

1,3,7,21,277,831,1939,5817

Now, list down the factors of 8539

1,8539

Greatest Common Factor

We found the factors 5817,8539 . The biggest common factor number is the GCF number.
So the greatest common factor 5817,8539 is 1.

Lets's calculate LCM of 226,3372

Lowest Common Multiple of 226,3372 using Common Division

2	226, 3372
	113, 1686

∴ So the LCM of the given numbers is 2 x 113 x 1686 = 381036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381036

Therefore, the GCF of Fractions 5817/226,8539/3372 is 1/381036

Least Common Multiple of 226,3372 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 226,3372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,3372) = 2

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

GCF(226,3372) x common factors =2 x 1 = 2

LCM(226,3372) = ( 226 × 3372 ) / 2

LCM(226,3372) = 762072 / 2

LCM(226,3372) = 381036

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5817/226, 8539/3372

1. What is the HCF of 5817,8539?

The HCF of 5817,8539 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 5817/226, 8539/3372?

Answer: GCF of Numerators as per given numbers 5817/226, 8539/3372 is

GCF of Numerators i.e. for 5817,8539 is 1

LCM of denominators i.e. for 226,3372 is 381036.

Thus, GCF of Fractions is 1/381036.Finally, GCF of Fractions for 5817/226, 8539/3372 is 1/381036.