Use our free GCF of Fractions Calculator tool to compute the GCF of 255/993, 864/331 i.e 3/993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/993, 864/331.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/993,864/331
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 255/993,864/331, numerators are 255,864
Denominators are 993,331
The GCF of 255,864 is 3 .
LCM of 993,331 is 993.
The greatest common factor of 255/993,864/331 = [GCF of 255,864]/[LCM of 993,331]= 3/993
Therefore, the GCF of 255/993,864/331 is 3/993.
To find the highest common factor of 255,864, we have to find the factors of both numbers and list the highest common factor.
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
The HCF of 255,864 is 3.
Lets's calculate GCF of 255,864
3 | 255, 864 |
85, 288 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Now, list down the factors of 864
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 255,864 . The biggest common factor number is the GCF number.
So the greatest common factor 255,864 is 3.
Lets's calculate LCM of 993,331
331 | 993, 331 |
3, 1 |
∴ So the LCM of the given numbers is 331 x 3 x 1 = 993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/993
Therefore, the GCF of Fractions 255/993,864/331 is 3/993
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 993,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,331) = 331
common factors(in case of two or more numbers have common factors) = 1
GCF(993,331) x common factors =331 x 1 = 331
LCM(993,331) = ( 993 × 331 ) / 331
LCM(993,331) = 328683 / 331
LCM(993,331) = 993
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 255,864?
The HCF of 255,864 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 255/993, 864/331?
Answer: GCF of Numerators as per given numbers 255/993, 864/331 is
GCF of Numerators i.e. for 255,864 is 3
LCM of denominators i.e. for 993,331 is 993.
Thus, GCF of Fractions is 3/993.Finally, GCF of Fractions for 255/993, 864/331 is 3/993.