Use our free GCF of Fractions Calculator tool to compute the GCF of 57/16, 199/28, 515/852 i.e 1/23856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/16, 199/28, 515/852.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/16,199/28,515/852
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 57/16,199/28,515/852, numerators are 57,199,515
Denominators are 16,28,852
The GCF of 57,199,515 is 1 .
LCM of 16,28,852 is 23856.
The greatest common factor of 57/16,199/28,515/852 = [GCF of 57,199,515]/[LCM of 16,28,852]= 1/23856
Therefore, the GCF of 57/16,199/28,515/852 is 1/23856.
To find the highest common factor of 57,199,515, we have to find the factors of both numbers and list the highest common factor.
The factors of 57 are 1, 3, 19, 57
The factors of 199 are 1, 199
The factors of 515 are 1, 5, 103, 515
The HCF of 57,199,515 is 1.
Lets's calculate GCF of 57,199,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 199
:1,199
Now, list down the factors of 515
:1,5,103,515
Greatest Common Factor
We found the factors 57,199,515 . The biggest common factor number is the GCF number.
So the greatest common factor 57,199,515 is 1.
Lets's calculate LCM of 16,28,852
2 | 16, 28, 852 |
2 | 8, 14, 426 |
4, 7, 213 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 7 x 213 = 23856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23856
Therefore, the GCF of Fractions 57/16,199/28,515/852 is 1/23856
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 16,28,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,28,852) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(16,28,852) x common factors =4 x 4 = 16
LCM(16,28,852) = ( 16 × 28 × 852 ) / 16
LCM(16,28,852) = 381696 / 16
LCM(16,28,852) = 23856
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 57,199,515?
The HCF of 57,199,515 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 57/16, 199/28, 515/852?
Answer: GCF of Numerators as per given numbers 57/16, 199/28, 515/852 is
GCF of Numerators i.e. for 57,199,515 is 1
LCM of denominators i.e. for 16,28,852 is 23856.
Thus, GCF of Fractions is 1/23856.Finally, GCF of Fractions for 57/16, 199/28, 515/852 is 1/23856.