Use our free GCF of Fractions Calculator tool to compute the GCF of 515/315, 914/860 i.e 1/54180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 515/315, 914/860.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 515/315,914/860
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 515/315,914/860, numerators are 515,914
Denominators are 315,860
The GCF of 515,914 is 1 .
LCM of 315,860 is 54180.
The greatest common factor of 515/315,914/860 = [GCF of 515,914]/[LCM of 315,860]= 1/54180
Therefore, the GCF of 515/315,914/860 is 1/54180.
To find the highest common factor of 515,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 515 are 1, 5, 103, 515
The factors of 914 are 1, 2, 457, 914
The HCF of 515,914 is 1.
Lets's calculate GCF of 515,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 515
:1,5,103,515
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 515,914 . The biggest common factor number is the GCF number.
So the greatest common factor 515,914 is 1.
Lets's calculate LCM of 315,860
5 | 315, 860 |
63, 172 |
∴ So the LCM of the given numbers is 5 x 63 x 172 = 54180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54180
Therefore, the GCF of Fractions 515/315,914/860 is 1/54180
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 315,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,860) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(315,860) x common factors =5 x 1 = 5
LCM(315,860) = ( 315 × 860 ) / 5
LCM(315,860) = 270900 / 5
LCM(315,860) = 54180
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 515,914?
The HCF of 515,914 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 515/315, 914/860?
Answer: GCF of Numerators as per given numbers 515/315, 914/860 is
GCF of Numerators i.e. for 515,914 is 1
LCM of denominators i.e. for 315,860 is 54180.
Thus, GCF of Fractions is 1/54180.Finally, GCF of Fractions for 515/315, 914/860 is 1/54180.