GCF of 5804/582, 1567/4609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5804/582, 1567/4609 i.e 1/2682438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5804/582, 1567/4609.
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 5804/582,1567/4609?
Given fractions are 5804/582,1567/4609
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 5804/582,1567/4609, numerators are 5804,1567
Denominators are 582,4609
The GCF of 5804,1567 is 1 .
LCM of 582,4609 is 2682438.
The greatest common factor of 5804/582,1567/4609 = [GCF of 5804,1567]/[LCM of 582,4609]= 1/2682438
Therefore, the GCF of 5804/582,1567/4609 is 1/2682438.
To find the highest common factor of 5804,1567, we have to find the factors of both numbers and list the highest common factor.
The factors of 5804 are 1, 2, 4, 1451, 2902, 5804
The factors of 1567 are 1, 1567
The HCF of 5804,1567 is 1.
Lets's calculate GCF of 5804,1567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5804,1567 By Matching Biggest Common Factor Method
Now, list down the factors of 5804
:1,2,4,1451,2902,5804
Now, list down the factors of 1567
:1,1567
Greatest Common Factor
We found the factors 5804,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 5804,1567 is 1.
Lets's calculate LCM of 582,4609
Given numbers has no common factors except 1. So, there LCM is their product i.e 2682438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2682438
Therefore, the GCF of Fractions 5804/582,1567/4609 is 1/2682438
Least Common Multiple of 582,4609 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 582,4609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,4609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,4609) x common factors =1 x 1 = 1
LCM(582,4609) = ( 582 × 4609 ) / 1
LCM(582,4609) = 2682438 / 1
LCM(582,4609) = 2682438
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5804/582, 1567/4609
1. What is the HCF of 5804,1567?
The HCF of 5804,1567 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 5804/582, 1567/4609?
Answer: GCF of Numerators as per given numbers 5804/582, 1567/4609 is
GCF of Numerators i.e. for 5804,1567 is 1
LCM of denominators i.e. for 582,4609 is 2682438.
Thus, GCF of Fractions is 1/2682438.Finally, GCF of Fractions for 5804/582, 1567/4609 is 1/2682438.