Use our free GCF of Fractions Calculator tool to compute the GCF of 597/80, 415/2005 i.e 1/32080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 597/80, 415/2005.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 597/80,415/2005
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 597/80,415/2005, numerators are 597,415
Denominators are 80,2005
The GCF of 597,415 is 1 .
LCM of 80,2005 is 32080.
The greatest common factor of 597/80,415/2005 = [GCF of 597,415]/[LCM of 80,2005]= 1/32080
Therefore, the GCF of 597/80,415/2005 is 1/32080.
To find the highest common factor of 597,415, we have to find the factors of both numbers and list the highest common factor.
The factors of 597 are 1, 3, 199, 597
The factors of 415 are 1, 5, 83, 415
The HCF of 597,415 is 1.
Lets's calculate GCF of 597,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 415
:1,5,83,415
Greatest Common Factor
We found the factors 597,415 . The biggest common factor number is the GCF number.
So the greatest common factor 597,415 is 1.
Lets's calculate LCM of 80,2005
5 | 80, 2005 |
16, 401 |
∴ So the LCM of the given numbers is 5 x 16 x 401 = 32080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32080
Therefore, the GCF of Fractions 597/80,415/2005 is 1/32080
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 80,2005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,2005) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(80,2005) x common factors =5 x 1 = 5
LCM(80,2005) = ( 80 × 2005 ) / 5
LCM(80,2005) = 160400 / 5
LCM(80,2005) = 32080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 597,415?
The HCF of 597,415 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 597/80, 415/2005?
Answer: GCF of Numerators as per given numbers 597/80, 415/2005 is
GCF of Numerators i.e. for 597,415 is 1
LCM of denominators i.e. for 80,2005 is 32080.
Thus, GCF of Fractions is 1/32080.Finally, GCF of Fractions for 597/80, 415/2005 is 1/32080.