How to Find GCF of 5845/320, 5786/9579?

GCF of 5845/320, 5786/9579

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 5845/320, 5786/9579 i.e 1/3065280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5845/320, 5786/9579.

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 5845/320,5786/9579?

Given fractions are 5845/320,5786/9579

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 5845/320,5786/9579, numerators are 5845,5786

Denominators are 320,9579

The GCF of 5845,5786 is 1 .

LCM of 320,9579 is 3065280.

The greatest common factor of 5845/320,5786/9579 = [GCF of 5845,5786]/[LCM of 320,9579]= 1/3065280

Therefore, the GCF of 5845/320,5786/9579 is 1/3065280.

Greatest Common Factor of 5845,5786

To find the highest common factor of 5845,5786, we have to find the factors of both numbers and list the highest common factor.

The factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845

The factors of 5786 are 1, 2, 11, 22, 263, 526, 2893, 5786

The HCF of 5845,5786 is 1.

Lets's calculate GCF of 5845,5786

Greatest Common Factor (GCF) of 5845,5786 By Common Division

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

Greatest Common Factor of 5845,5786 By Matching Biggest Common Factor Method

Now, list down the factors of 5845

1,5,7,35,167,835,1169,5845

Now, list down the factors of 5786

1,2,11,22,263,526,2893,5786

Greatest Common Factor

We found the factors 5845,5786 . The biggest common factor number is the GCF number.
So the greatest common factor 5845,5786 is 1.

Lets's calculate LCM of 320,9579

Lowest Common Multiple of 320,9579 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3065280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3065280

Therefore, the GCF of Fractions 5845/320,5786/9579 is 1/3065280

Least Common Multiple of 320,9579 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 320,9579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,9579) = 1

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

GCF(320,9579) x common factors =1 x 1 = 1

LCM(320,9579) = ( 320 × 9579 ) / 1

LCM(320,9579) = 3065280 / 1

LCM(320,9579) = 3065280

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5845/320, 5786/9579

1. What is the HCF of 5845,5786?

The HCF of 5845,5786 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 5845/320, 5786/9579?

Answer: GCF of Numerators as per given numbers 5845/320, 5786/9579 is

GCF of Numerators i.e. for 5845,5786 is 1

LCM of denominators i.e. for 320,9579 is 3065280.

Thus, GCF of Fractions is 1/3065280.Finally, GCF of Fractions for 5845/320, 5786/9579 is 1/3065280.