Use our free GCF of Fractions Calculator tool to compute the GCF of 16/363, 66/398, 481/810 i.e 1/19503990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/363, 66/398, 481/810.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/363,66/398,481/810
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 16/363,66/398,481/810, numerators are 16,66,481
Denominators are 363,398,810
The GCF of 16,66,481 is 1 .
LCM of 363,398,810 is 19503990.
The greatest common factor of 16/363,66/398,481/810 = [GCF of 16,66,481]/[LCM of 363,398,810]= 1/19503990
Therefore, the GCF of 16/363,66/398,481/810 is 1/19503990.
To find the highest common factor of 16,66,481, we have to find the factors of both numbers and list the highest common factor.
The factors of 16 are 1, 2, 4, 8, 16
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 481 are 1, 13, 37, 481
The HCF of 16,66,481 is 1.
Lets's calculate GCF of 16,66,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 481
:1,13,37,481
Greatest Common Factor
We found the factors 16,66,481 . The biggest common factor number is the GCF number.
So the greatest common factor 16,66,481 is 1.
Lets's calculate LCM of 363,398,810
2 | 363, 398, 810 |
3 | 363, 199, 405 |
121, 199, 135 |
∴ So the LCM of the given numbers is 2 x 3 x 121 x 199 x 135 = 19503990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19503990
Therefore, the GCF of Fractions 16/363,66/398,481/810 is 1/19503990
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 363,398,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,398,810) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(363,398,810) x common factors =1 x 6 = 6
LCM(363,398,810) = ( 363 × 398 × 810 ) / 6
LCM(363,398,810) = 117023940 / 6
LCM(363,398,810) = 19503990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 16,66,481?
The HCF of 16,66,481 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 16/363, 66/398, 481/810?
Answer: GCF of Numerators as per given numbers 16/363, 66/398, 481/810 is
GCF of Numerators i.e. for 16,66,481 is 1
LCM of denominators i.e. for 363,398,810 is 19503990.
Thus, GCF of Fractions is 1/19503990.Finally, GCF of Fractions for 16/363, 66/398, 481/810 is 1/19503990.