How to Find GCF of 5806/412, 5659/5835?

GCF of 5806/412, 5659/5835

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 5806/412, 5659/5835 i.e 1/2404020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5806/412, 5659/5835.

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 5806/412,5659/5835?

Given fractions are 5806/412,5659/5835

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 5806/412,5659/5835, numerators are 5806,5659

Denominators are 412,5835

The GCF of 5806,5659 is 1 .

LCM of 412,5835 is 2404020.

The greatest common factor of 5806/412,5659/5835 = [GCF of 5806,5659]/[LCM of 412,5835]= 1/2404020

Therefore, the GCF of 5806/412,5659/5835 is 1/2404020.

Greatest Common Factor of 5806,5659

To find the highest common factor of 5806,5659, we have to find the factors of both numbers and list the highest common factor.

The factors of 5806 are 1, 2, 2903, 5806

The factors of 5659 are 1, 5659

The HCF of 5806,5659 is 1.

Lets's calculate GCF of 5806,5659

Greatest Common Factor (GCF) of 5806,5659 By Common Division

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

Greatest Common Factor of 5806,5659 By Matching Biggest Common Factor Method

Now, list down the factors of 5806

1,2,2903,5806

Now, list down the factors of 5659

1,5659

Greatest Common Factor

We found the factors 5806,5659 . The biggest common factor number is the GCF number.
So the greatest common factor 5806,5659 is 1.

Lets's calculate LCM of 412,5835

Lowest Common Multiple of 412,5835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2404020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2404020

Therefore, the GCF of Fractions 5806/412,5659/5835 is 1/2404020

Least Common Multiple of 412,5835 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 412,5835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,5835) = 1

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

GCF(412,5835) x common factors =1 x 1 = 1

LCM(412,5835) = ( 412 × 5835 ) / 1

LCM(412,5835) = 2404020 / 1

LCM(412,5835) = 2404020

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FAQs on GCF of Fractions of 5806/412, 5659/5835

1. What is the HCF of 5806,5659?

The HCF of 5806,5659 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 5806/412, 5659/5835?

Answer: GCF of Numerators as per given numbers 5806/412, 5659/5835 is

GCF of Numerators i.e. for 5806,5659 is 1

LCM of denominators i.e. for 412,5835 is 2404020.

Thus, GCF of Fractions is 1/2404020.Finally, GCF of Fractions for 5806/412, 5659/5835 is 1/2404020.