Use our free GCF of Fractions Calculator tool to compute the GCF of 363/993, 666/217 i.e 3/215481 easily. The following is the detailed procedure to determine the greatest common factor of fractions 363/993, 666/217.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 363/993,666/217
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 363/993,666/217, numerators are 363,666
Denominators are 993,217
The GCF of 363,666 is 3 .
LCM of 993,217 is 215481.
The greatest common factor of 363/993,666/217 = [GCF of 363,666]/[LCM of 993,217]= 3/215481
Therefore, the GCF of 363/993,666/217 is 3/215481.
To find the highest common factor of 363,666, we have to find the factors of both numbers and list the highest common factor.
The factors of 363 are 1, 3, 11, 33, 121, 363
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The HCF of 363,666 is 3.
Lets's calculate GCF of 363,666
3 | 363, 666 |
121, 222 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 363
:1,3,11,33,121,363
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 363,666 . The biggest common factor number is the GCF number.
So the greatest common factor 363,666 is 3.
Lets's calculate LCM of 993,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 215481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/215481
Therefore, the GCF of Fractions 363/993,666/217 is 3/215481
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 993,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,217) x common factors =1 x 1 = 1
LCM(993,217) = ( 993 × 217 ) / 1
LCM(993,217) = 215481 / 1
LCM(993,217) = 215481
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 363,666?
The HCF of 363,666 is 3
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 363/993, 666/217?
Answer: GCF of Numerators as per given numbers 363/993, 666/217 is
GCF of Numerators i.e. for 363,666 is 3
LCM of denominators i.e. for 993,217 is 215481.
Thus, GCF of Fractions is 3/215481.Finally, GCF of Fractions for 363/993, 666/217 is 3/215481.