Use our free GCF of Fractions Calculator tool to compute the GCF of 27/933, 64/945, 288/798 i.e 1/11168010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/933, 64/945, 288/798.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/933,64/945,288/798
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 27/933,64/945,288/798, numerators are 27,64,288
Denominators are 933,945,798
The GCF of 27,64,288 is 1 .
LCM of 933,945,798 is 11168010.
The greatest common factor of 27/933,64/945,288/798 = [GCF of 27,64,288]/[LCM of 933,945,798]= 1/11168010
Therefore, the GCF of 27/933,64/945,288/798 is 1/11168010.
To find the highest common factor of 27,64,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 27,64,288 is 1.
Lets's calculate GCF of 27,64,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 27,64,288 . The biggest common factor number is the GCF number.
So the greatest common factor 27,64,288 is 1.
Lets's calculate LCM of 933,945,798
3 | 933, 945, 798 |
7 | 311, 315, 266 |
311, 45, 38 |
∴ So the LCM of the given numbers is 3 x 7 x 311 x 45 x 38 = 11168010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11168010
Therefore, the GCF of Fractions 27/933,64/945,288/798 is 1/11168010
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 933,945,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,945,798) = 3
common factors(in case of two or more numbers have common factors) = 21
GCF(933,945,798) x common factors =3 x 21 = 63
LCM(933,945,798) = ( 933 × 945 × 798 ) / 63
LCM(933,945,798) = 703584630 / 63
LCM(933,945,798) = 11168010
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 27,64,288?
The HCF of 27,64,288 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 27/933, 64/945, 288/798?
Answer: GCF of Numerators as per given numbers 27/933, 64/945, 288/798 is
GCF of Numerators i.e. for 27,64,288 is 1
LCM of denominators i.e. for 933,945,798 is 11168010.
Thus, GCF of Fractions is 1/11168010.Finally, GCF of Fractions for 27/933, 64/945, 288/798 is 1/11168010.