Use our free GCF of Fractions Calculator tool to compute the GCF of 612/248, 864/893 i.e 36/221464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 612/248, 864/893.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 612/248,864/893
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 612/248,864/893, numerators are 612,864
Denominators are 248,893
The GCF of 612,864 is 36 .
LCM of 248,893 is 221464.
The greatest common factor of 612/248,864/893 = [GCF of 612,864]/[LCM of 248,893]= 36/221464
Therefore, the GCF of 612/248,864/893 is 36/221464.
To find the highest common factor of 612,864, we have to find the factors of both numbers and list the highest common factor.
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
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 612,864 is 36.
Lets's calculate GCF of 612,864
2 | 612, 864 |
2 | 306, 432 |
3 | 153, 216 |
3 | 51, 72 |
17, 24 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
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 612,864 . The biggest common factor number is the GCF number.
So the greatest common factor 612,864 is 36.
Lets's calculate LCM of 248,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 221464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/221464
Therefore, the GCF of Fractions 612/248,864/893 is 36/221464
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 248,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,893) x common factors =1 x 1 = 1
LCM(248,893) = ( 248 × 893 ) / 1
LCM(248,893) = 221464 / 1
LCM(248,893) = 221464
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 612,864?
The HCF of 612,864 is 36
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 612/248, 864/893?
Answer: GCF of Numerators as per given numbers 612/248, 864/893 is
GCF of Numerators i.e. for 612,864 is 36
LCM of denominators i.e. for 248,893 is 221464.
Thus, GCF of Fractions is 36/221464.Finally, GCF of Fractions for 612/248, 864/893 is 36/221464.